Altshuller's Contradiction Matrix. A Critical View and Best-Practice Recommendations

Abstract

The TRIZ methodology offers 40 Inventive Principles for solving inventive problems by the resolving of technical contradictions. Each technical problem normally consists of several technical contradictions. The table of 39 lines and 39 columns called a Contradiction Matrix can considerably simplify the selection of suitable solution principles.
The solution principles do not generally provide ready-made solutions to the problems. However, they guide the user to think in the right direction. Combining several principles can often give more satisfactory results.
In practice one should formulate several contradictions for one problem situation, forming a set of "strongest" principles and as the next step using those principles which were proposed more than once.
A simple case study illustrates this best-practice working technique.

Link to the application of the 40 TRIZ inventive principles in the AIDA Automatic IDEA & IP Generator:
https://www.tris-europe.com/eng/software/innovationssoftware.htm

Full text

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Altshuller Contradiction Matrix
A Critical View and Best-Practice Recommendations
Resolving Contradictions using the Contradiction Matrix
The TRIZ technology offers 40 Inventive Principles for solving inventive problems by
the resolving of technical contradictions. Each technical problem normally consists of
several technical contradictions. The table of 39 lines and 39 columns called a
Contradiction Matrix considerably simplifies the selection of suitable solution principles.
The 39 input engineering parameters represent the most important characteristics of
technical systems e.g.: mass, speed, temperature, material loss, accuracy of
measurement, quality of manufacture, etc. They help to formulate technical
contradictions in standardised terms. Based on statistical evaluation of more than one
hundred thousand patents, the Matrix recommends the inventive principles, which are
the most likely to solve the given standardized technical contradiction.
The solution principles do not generally provide ready-made solutions to the problems.
However, they guide the user to think in the right direction. Combining several
principles can often give more satisfactory results.
1
...
27 28
...
39
Mass of the moving
object
...
Reliability
Accuracy of
measurement
...
Productivity
1
Mass of the moving
object
3, 11
1, 27
28,27
35,26
35, 3
24,37
... ...
9Speed
2, 28
13,38
11,35
27,28
28,32
1, 24
10 Force
8, 1
37,18
3, 35
13,21
35,10
23,24
3, 28
35,37
... ...
39 Productivity
35,26
24,37
1, 35
10,38
1, 10
34,28
Properties
of the system
to be modified
or improved
Which properties of
the system change
for the worse?
Search for Solution Principles using the Contradiction Matrix (detail).
__________
Chapter 14 from: Pavel Livotov, Vladimir Petrov. TRIZ Innovation Technology. Product Development and
Inventive Problem Solving. Handbook / Berlin: TriS Europe GmbH, 2011, 284 pages.
Link to the application of the 40 TRIZ inventive principles in the AIDA Automatic IDEA & IP Generator 2022:
https://www.tris-europe.com/eng/software/innovationssoftware.htm
40 TRIZ inventive principles in AIDA Automatic IDEA & IP Generator 2023:
https://www.tris-europe.com/eng/software/innovationssoftware.htm

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The 39 Engineering Parameters of the Contradiction Matrix
The 39 engineering parameters represent the most important characteristics of
technical systems, and allow the technical contradiction to be formulated in a
standardised way.
1. Mass of the moving object
2. Mass of the non-moving object
3. Length of the moving object
4. Length of the non-moving object
5. Area of the moving object
6. Area of the non-moving object
7. Volume of the moving object
8. Volume of the non-moving
object
9. Speed
10. Force
11. Tension, Pressure
12. Shape
13. Stability of the object
14. Strength
15. Action time of the moving object
16. Action time of the non-moving
object
17. Temperature
18. Brightness, Visibility
19. Energy consumption of the
moving object
20. Energy consumption of the non-
moving object
21. Power
22. Energy loss
23. Material loss
24. Information loss
25. Time loss
26. Amount of substance
27. Reliability
28. Accuracy of measurement
29. Accuracy of manufacturing
30. Harmful external factors
31. Harmful internal factors
32. Convenience of manufacturing
33. Convenience of use
34. Convenience of repair
35. Adaptability
36. Complexity of the structure
37. Complexity of control and
measurement
38. Level of automation
39. Productivity
An attempt to update the Altshuller Matrix and to increase the original list of 39
parameters to 50 was undertaken in 2003 by D.L. Mann and co-authors 1.
_______
1 D.L. Mann, S. Dewulf, B. Zlotin, A. Zusman. Matrix 2003: Updating the TRIZ Contradiction Matrix, CREAX
Press, February 2003.

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Magic of Contradiction Matrix
Holding no less power of attraction is the Contradiction Matrix, as a method of using
the 40 principles. As known, the Matrix - as a result of about 7 years of investigation
work – delivers an approach on how to select the best principles to resolve one specific
technical contradiction, in order to reduce the trial-and-error work involved in applying
all 40 principles.
In spite of the fact that in TRIZ cradle - Russia even in the 1980’s the Matrix was no
longer the most recommended of strong TRIZ tools, a lot of attempts to improve this
empirical and early TRIZ method are still known nowadays:
• Adding/reducing the number of lines or columns,
• Changing the titles of 39 technical parameters,
• Up-dating the matrix cells or filling the «empty» matrix cells,
• «Customising» matrix: The user can re-invent the matrix according their experience,
• Other mathematical experiments, up to random choice of matrix cells etc.
Although such attempts are being undertaken with the best intentions, they do not
contribute to TRIZ significantly, neither practically nor theoretically. Also, the best and
fullest matrix would not guarantee the solution of difficult problem. Not the Matrix but
the Principles are crucial for problem solving. They are good to enhance technical
creativity but only scratch the surface of the problem in complicated situations1.
In practice one should warn all newcomers to TRIZ about «blind trust» to the Matrix.
One can remember the earlier experience of using the matrix in Russia, still in printed
form: the pointer often unintentionally hit the false matrix cell, but nevertheless it did
work.
For the matrix-fans we recommend hence formulating several contradictions for one
problem situation, forming a set of recommended principles and as the next step using
those principles which were recommended more than once. The correct application of
the matrix in this case gives a small number of principles, which were recommended
3…8 times (e.g. principles N.35 - 8 times; N.5 - 5 times, N.19 - 3 times etc.), and a
longer «tail» of principles which were recommended only once. In any case this
approach helps to understand and to document the bundle of underlying technical
contradictions in the system that may be of high importance for problem analysis.
_______
1 P. Livotov. Modelling 40 Innovation Principles with "Moving Little People", The TRIZ Journal, July 2003,
https://triz-journal.com/modelling-40-innovation-principles-moving-little-people/

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The 10 strongest Inventive Principles ordered in their statistical frequency
of use
N35 Transformation of the physical and chemical properties
N10 Prior action
N1 Segmentation
N28 Replacement of the mechanical system
N2 Extraction
N15 Dynamism
N19 Periodic action
N18 Mechanical vibration
N32 Changing colour
N13 Inversion
We recommend applying the principles according to their general, statistical frequency
of use. In our experience, the first 10 principles from this list produce workable
solutions to approx. 50% of all problems.
Working with the Contradiction Matrix
Suitable solution principles can be found by following the steps below:
1. Formulate the technical contradiction (two contradictory properties of the technical
system) for the problem to be solved, with the help of the 39 engineering
parameters.
2. Out of the list of the 39 engineering parameters, choose which property of the
system is to be modified or improved.
3. From the same list, define which property of the system will change for the worse
as a consequence of the improvement or modification above.
4. Having completed the selection, up to four solution principles will be displayed in
the appropriate matrix cell.
5. In many cases, it is recommended to formulate several contradictions for the same
problem at the same time. If this is the case, repeat steps 2 to 4.
6. It is often possible to derive a second (inverted) contradiction from the first
contradiction. In this case, the order of the parameters (steps 2 and 3) must be
changed. If, for example, you originally entered “speed” in step 2 and “reliability“
in step 3, the order now has to be inverted by first entering “reliability“ in step 2
and then “speed” in step 3.

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7. If, after entering the engineering parameters (step 2 and 3) there are no solution
principles available for this contradiction (empty matrix box), another technical
contradiction has to be formulated. The new engineering parameters should be
different from the ones chosen before in steps 2 and 3.
8. Those principles, which are listed most frequently by the program, are likely to be
the most promising approaches.
9. The suggested solution principles and derived ideas can also be combined, which
then often leads to new advanced approaches to the solution.
Case Study
Problem situation
In a pipe with many bends, small metal balls are transported by compressed air. Due
to constant impact from the balls, the walls of the tube in the bends wear rapidly.
Although additional coatings or thickened pipe walls (typical compromise solutions)
give a longer service life, they still wear. The rate of wear is a function of the number
and the speed of the balls. What can be done?
Formulating the Technical Contradictions
First, a technical contradiction for the main function of the technical system should be
formulated: increasing the number or speed of the transported balls (positive effect)
results in increased wearing of the pipe bends (negative effect).
According to TRIZ, a problem is only solved if a technical contradiction has been
formulated and then resolved. The search for solutions must have the following
objective: No wearing of the pipe bends even at a high flow rate of balls.
In order to use the Contradiction Matrix now, the previously formulated technical
contradiction should be reproduced as precisely as possible with the help of the 39
engineering parameters. Suitable contradictions are displayed in the table below, using
the 39 engineering parameters, and recommended solution principles are shown for
each technical contradiction.

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Formulation of the Technical Contradictions Solution Principles
N
Which properties of the
system are to be
modified or improved?
Which properties of the
system change for the
worse as a result of this
modification?
Suggested by matrix
1 9. Speed (balls) 27. Reliability (pipe) 11, 35, 27, 28
2 27. Reliability (pipe) 9. Speed (speed of the
balls has to be reduced) 21, 35, 11, 28
3 9. Speed (Balls) 31. Harmful internal effects
(impact of the balls) 2, 24, 35, 21
4
31. Harmful internal
effects (impact of the
balls)
9. Speed (speed of the
balls has to be reduced) 35, 28, 3, 23
5
1. Mass of the moving
object (increasing the
number of balls)
14. Strength (pipe) 28, 27, 18, 40
6 1. Mass of the moving
object 27. Reliability (pipe) 3, 11, 1, 27
7 26. Amount of
substance (balls) 14. Strength (pipe) 14, 35, 34, 10
8 26. Amount of
substance (balls) 27. Reliability (pipe) 18, 3, 28, 40

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Frequency of Application of Solution Principles
The following table shows the most frequently suggested inventive principles, which
usually represent the most promising solution approaches.
Solution Principles Frequency Description Solution Approaches
28. Replacement of the
mechanical system 5
Use electromagnetic
field to interact with
the object.
Install a magnetic field
to act on the balls;
magnetize or electro-
statically charge the
balls.
35. Transformation of
the physical and
chemical properties.
5
Change the
aggregate state,
concentration,
temperature etc. of
the object.
Change the properties
of the carrying medium
(air in this case), the
balls or the pipe bends.
3. Local quality. 3
Adapt the properties
or parts of the
object to the local
requirements.
Change the geometry
of the pipe bends.
11. Safety cushion in
advance
(preventative
measure).
3
A pre-applied
preventive measure
improves the
insufficient reliability
of the object.
The insufficient
resistance to wear of
the pipe bends is
compensated by a third
object (e.g. balls).
27. Disposability
(cheap short-living
objects).
3
Replace the
expensive object by
a collection of
cheap, disposable
ones.
Instead of applying
expensive coatings, use
“cheap” balls as
protective means, since
they are abundantly
available in the system.
Solution Approaches and their Implementation
The solution principles do not usually give ready-made solutions but guide the user in
the right direction. In many cases, solutions are to be found as a result of combining
several principles.
Combining solution approaches nos. 28, 27 and 11, for example, leads to the idea of
applying a protective layer of balls to the pipe bend, which is held in place by a
permanent magnet.

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Combining principles 3 and 27 suggests using pockets in the pipe bends instead of
magnetic forces to hold the balls in place.
In both cases, the moving balls no longer strike the wall of the pipe bend but hit other
balls. If a ball is knocked out of place, it is replaced by another. The technical
contradiction is solved: there is practically no more wearing of the pipe bends.
Inventive principle 35 does not provide an obvious solution to this specific technical
system. This, however, does not mean that the method has any flaws. If, for example,
a liquid carrier media (water) had been used, the solution would have been quite
obvious: freezing the pipe bend to generate a thin, constantly renewable protective
layer of ice.
The realization of the ideas normally entails secondary problems, which often can be
solved relatively easily, using conventional methods such as making slight changes to
the design etc.
A decision, as to whether the achieved technical effect justifies the required
expenditure is however left with the project manager or team in charge.
Illustration of the case study
__________
Chapter 14 from: Pavel Livotov, Vladimir Petrov. TRIZ Innovation Technology. Product Development and
Inventive Problem Solving. Handbook / Berlin: TriS Europe GmbH, 2011, 284 pages.
Link to the application of the 40 TRIZ inventive principles in the AIDA Automatic IDEA & IP Generator 2022:
https://www.tris-europe.com/eng/software/innovationssoftware.htm

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Altshuller Contradiction Matrix (39x39)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Weight of moving object
Weight of immobile object
Length of moving object
Length of immobile object
Area of moving object
Area of immobile object
Volume of moving object
Volume of immobile object
Speed
Force
Tension, Pressure
Shape
Stability of object
Strength
Durability of moving object
Durability of immobile object
Temperature
Illumination, Brightness
Energy spent by moving object
1Weight of moving object +
15, 8,
29,34
29, 17,
38, 34
29, 2, 40,
28
2, 8, 15,
38
8, 10, 18,
37
10, 36,
37, 40
10, 14,
35, 40
1, 35, 19,
39
28, 27,
18, 40
5, 34, 31,
35
6, 29, 4,
38
19, 1, 32
35, 12,
34, 31
2Weight of immobile object +
10, 1, 29,
35
35, 30,
13, 2
5, 35, 14,
2
8, 10, 19,
35
13, 29,
10, 18
13, 10,
29, 14
26, 39, 1,
40
28, 2, 10,
27
2, 27, 19,
6
28, 19,
32, 22
19, 32,
35
-
3Length of moving object
8, 15, 29,
34
+ 15, 17, 4
7, 17, 4,
35
13, 4, 8 17, 10, 4 1, 8, 35
1, 8, 10,
29
1, 8, 15,
34
8, 35, 29,
34
19
10, 15,
19
32 8, 35, 24
4Length of immobile object
35, 28,
40, 29
+
17, 7, 10,
40
35, 8,
2,14
28, 10 1, 14, 35
13, 14,
15, 7
39, 37,
35
15, 14,
28, 26
1, 10, 35
3, 35, 38,
18
3, 25 -
5Area of moving object
2, 17, 29,
4
14, 15,
18, 4
+
7, 14, 17,
4
29, 30, 4,
34
19, 30,
35, 2
10, 15,
36, 28
5, 34, 29,
4
11, 2, 13,
39
3, 15, 40,
14
6, 3 2, 15, 16
15, 32,
19, 13
19, 32
6Area of immobile object
30, 2, 14,
18
26, 7, 9,
39
+
1, 18, 35,
36
10, 15,
36, 37
2, 38 40
2, 10, 19,
30
35, 39,
38
-
7Volume of moving object
2, 26, 29,
40
1, 7, 4,
35
1, 7, 4,
17
+
29, 4, 38,
34
15, 35,
36, 37
6, 35, 36,
37
1, 15, 29,
4
28, 10, 1,
39
9, 14, 15,
7
6, 35, 4
34, 39,
10, 18
2, 13, 10 35
8Volume of immobile object
35, 10,
19, 14
19, 14
35, 8, 2,
14
+ 2, 18, 37 24, 35 7, 2, 35
34, 28,
35, 40
9, 14, 17,
15
35, 34,
38
35, 6, 4 -
9Speed
2, 28, 13,
38
13, 14, 8
29, 30,
34
7, 29, 34 +
13, 28,
15, 19
6, 18, 38,
40
35, 15,
18, 34
28, 33, 1,
18
8, 3, 26,
14
3, 19, 35,
5
28, 30,
36, 2
10, 13,
19
8, 15, 35,
38
10 Force
8, 1, 37,
18
18, 13, 1,
28
17, 19, 9,
36
28, 10
19, 10,
15
1, 18, 36,
37
15, 9, 12,
37
2, 36, 18,
37
13, 28,
15, 12
+
18, 21,
11
10, 35,
40, 34
35, 10,
21
35, 10,
14, 27
19, 2
35, 10,
21
-
19, 17,
10
11 Tension, Pressure
10, 36,
37, 40
13, 29,
10, 18
35, 10,
36
35, 1, 14,
16
10, 15,
36, 28
10, 15,
36, 37
6, 35, 10 35, 24 6, 35, 36
36, 35,
21
+
35, 4, 15,
10
35, 33, 2,
40
9, 18, 3,
40
19, 3, 27
35, 39,
19, 2
-
14, 24,
10, 37
12 Shape
8, 10, 29,
40
15, 10,
26, 3
29, 34, 5,
4
13, 14,
10, 7
5, 34, 4,
10
14, 4, 15,
22
7, 2, 35
35, 15,
34, 18
35, 10,
37, 40
34, 15,
10, 14
+
33, 1, 18,
4
30, 14,
10, 40
14, 26, 9,
25
22, 14,
19, 32
13, 15,
32
2, 6, 34,
14
13 Stability of object
21, 35, 2,
39
26, 39, 1,
40
13, 15, 1,
28
37 2, 11, 13 39
28, 10,
19, 39
34, 28,
35, 40
33, 15,
28, 18
10, 35,
21, 16
2, 35, 40
22, 1, 18,
4
+ 17, 9, 15
13, 27,
10, 35
39, 3, 35,
23
35, 1, 32
32, 3, 27,
16
13, 19
14 Strength
1, 8, 40,
15
40, 26,
27, 1
1, 15, 8,
35
15, 14,
28, 26
3, 34, 40,
29
9, 40, 28
10, 15,
14, 7
9, 14, 17,
15
8, 13, 26,
14
10, 18, 3,
14
10, 3, 18,
40
10, 30,
35, 40
13, 17,
35
+ 27, 3, 26
30, 10,
40
35, 19
19, 35,
10
15 Durability of moving object
19, 5, 34,
31
2, 19, 9 3, 17, 19
10, 2, 19,
30
3, 35, 5 19, 2, 16 19, 3, 27
14, 26,
28, 25
13, 3, 35 27, 3, 10 +
19, 35,
39
2, 19, 4,
35
28, 6, 35,
18
16 Durability of immobile object
6, 27, 19,
16
1, 40, 35
35, 34,
38
39, 3, 35,
23
+
19, 18,
36, 40
-
17 Temperature
36,22, 6,
38
22, 35,
32
15, 19, 9 15, 19, 9
3, 35, 39,
18
35, 38
34, 39,
40, 18
35, 6, 4
2, 28, 36,
30
35, 10, 3,
21
35, 39,
19, 2
14, 22,
19, 32
1, 35, 32
10, 30,
22, 40
19, 13,
39
19, 18,
36, 40
+
32, 30,
21, 16
19, 15, 3,
17
18 Illumination, Brightness 19, 1, 32 2, 35, 32
19, 32,
16
19, 32,
26
2, 13, 10
10, 13,
19
26, 19, 6 32, 30 32, 3, 27 35, 19 2, 19, 6
32, 35,
19
+ 32, 1, 19
19 Energy spent by moving object
12,18,28,
31
12, 28
15, 19,
25
35, 13,
18
8, 35, 35
16, 26,
21, 2
23, 14,
25
12, 2, 29
19, 13,
17, 24
5, 19, 9,
35
28, 35, 6,
18
19, 24, 3,
14
2, 15, 19 +
20 Energy spent by immobile object
19, 9, 6,
27
36, 37
27, 4, 29,
18
35
19, 2, 35,
32
-
21 Power
8, 36, 38,
31
19, 26,
17, 27
1, 10, 35,
37
19, 38
17, 32,
13, 38
35, 6, 38 30, 6, 25 15, 35, 2
26, 2, 36,
35
22, 10,
35
29, 14, 2,
40
35, 32,
15, 31
26, 10,
28
19, 35,
10, 38
16
2, 14, 17,
25
16, 6, 19
16, 6, 19,
37
22 Waste of energy
15, 6, 19,
28
19, 6, 18,
9
7, 2, 6,
13
6, 38, 7
15, 26,
17, 30
17, 7, 30,
18
7, 18, 23 7
16, 35,
38
36, 38
14, 2, 39,
6
26 19, 38, 7
1, 13, 32,
15
23 Waste of substance
35, 6, 23,
40
35, 6, 22,
32
14, 29,
10, 39
10, 28,24
35, 2, 10,
31
10, 18,
39, 31
1, 29, 30,
36
3, 39, 18,
31
10, 13,
28, 38
14, 15,
18, 40
3, 36, 37,
10
29, 35, 3,
5
2, 14, 30,
40
35, 28,
31, 40
28, 27, 3,
18
27, 16,
18, 38
21, 36,
39, 31
1, 6, 13
35, 18,
24, 5
24 Loss of Information
10, 24,
35
10, 35, 5 1, 26 26 30, 26 30, 16 2, 22 26, 32 10 10 19
25 Waste of Time
10, 20,
37, 35
10, 20,
26, 5
15, 2, 29
30, 24,
14, 5
26, 4, 5,
16
10, 35,
17, 4
2, 5, 34,
10
35, 16,
32, 18
10, 37,
36,5
37, 36,4
4, 10, 34,
17
35, 3, 22,
5
29, 3, 28,
18
20, 10,
28, 18
28, 20,
10, 16
35, 29,
21, 18
1, 19, 26,
17
35, 38,
19, 18
26 Amount of substance
35, 6, 18,
31
27, 26,
18, 35
29, 14,
35, 18
15, 14,
29
2, 18, 40,
4
15, 20,
29
35, 29,
34, 28
35, 14, 3
10, 36,
14, 3
35, 14
15, 2, 17,
40
14, 35,
34, 10
3, 35, 10,
40
3, 35, 31 3, 17, 39
34, 29,
16, 18
27 Reliability
3, 8, 10,
40
3, 10, 8,
28
15, 9, 14,
4
15, 29,
28, 11
17, 10,
14, 16
32, 35,
40, 4
3, 10, 14,
24
2, 35, 24
21, 35,
11, 28
8, 28, 10,
3
10, 24,
35, 19
35, 1, 16,
11
11, 28
2, 35, 3,
25
34, 27, 6,
40
3, 35, 10
11, 32,
13
21, 11,
27, 19
28 Accuracy of measurement
32, 35,
26, 28
28, 35,
25, 26
28, 26, 5,
16
32, 28, 3,
16
26, 28,
32, 3
26, 28,
32, 3
32, 13, 6
28, 13,
32, 24
32, 2 6, 28, 32 6, 28, 32
32, 35,
13
28, 6, 32 28, 6, 32
10, 26,
24
6, 19, 28,
24
6, 1, 32 3, 6, 32
29 Accuracy of manufacturing
28, 32,
13, 18
28, 35,
27, 9
10, 28,
29, 37
2, 32, 10
28, 33,
29, 32
2, 29, 18,
36
32, 23, 2
25, 10,
35
10, 28,
32
28, 19,
34, 36
3, 35
32, 30,
40
30, 18 3, 27 3, 27, 40 19, 26 3, 32 32, 2
30 Harmful factors acting on object
22, 21,
27, 39
2, 22, 13,
24
17, 1, 39,
4
1, 18
22, 1, 33,
28
27, 2, 39,
35
22, 23,
37, 35
34, 39,
19, 27
21, 22,
35, 28
13, 35,
39, 18
22, 2, 37
22, 1, 3,
35
35, 24,
30, 18
18, 35,
37, 1
22, 15,
33, 28
17, 1, 40,
33
22, 33,
35, 2
1, 19, 32,
13
1, 24, 6,
27
31 Harmful side effects
19, 22,
15, 39
35, 22, 1,
39
17, 15,
16, 22
17, 2, 18,
39
22, 1, 40 17, 2, 40
30, 18,
35, 4
35, 28, 3,
23
35, 28, 1,
40
2, 33, 27,
18
35, 1
35, 40,
27, 39
15, 35,
22, 2
15, 22,
33, 31
21, 39,
16, 22
22, 35, 2,
24
19, 24,
39, 32
2, 35, 6
32 Manufacturability
28, 29,
15, 16
1, 27, 36,
13
1, 29, 13,
17
15, 17,
27
13, 1, 26,
12
16, 40
13, 29, 1,
40
35
35, 13, 8,
1
35, 12
35, 19, 1,
37
1, 28, 13,
27
11, 13, 1
1, 3, 10,
32
27, 1, 4 35, 16
27, 26,
18
28, 24,
27, 1
28, 26,
27, 1
33 Convenience of use
25, 2, 13,
15
6, 13, 1,
25
1, 17, 13,
12
1, 17, 13,
16
18, 16,
15, 39
1, 16, 35,
15
4, 18, 39,
31
18, 13,
34
28, 13 35 2, 32, 12
15, 34,
29, 28
32, 35,
30
32, 40, 3,
28
29, 3, 8,
25
1, 16, 25
26, 27,
13
13, 17, 1,
24
1, 13, 24
34 Repairability
2, 27 35,
11
2, 27, 35,
11
1, 28, 10,
25
3, 18, 31
15, 13,
32
16, 25
25, 2, 35,
11
1 34, 9 1, 11, 10 13
1, 13, 2,
4
2, 35
11, 1, 2,
9
11, 29,
28, 27
1 4, 10 15, 1, 13
15, 1, 28,
16
35 Adaptability
1, 6, 15,
8
19, 15,
29, 16
35, 1, 29,
2
1, 35, 16
35, 30,
29, 7
15, 16
15, 35,
29
35, 10,
14
15, 17,
20
35, 16
15, 37, 1,
8
35, 30,
14
35, 3, 32,
6
13, 1, 35 2, 16
27, 2, 3,
35
6, 22, 26,
1
19, 35,
29, 13
36 Complexity of device
26, 30,
34, 36
2, 26, 35,
39
1, 19, 26,
24
26
14, 1, 13,
16
6, 36 34, 26, 6 1, 16
34, 10,
28
26, 16 19, 1, 35
29, 13,
28, 15
2, 22, 17,
19
2, 13, 28
10, 4, 28,
15
2, 17, 13
24, 17,
13
27, 2, 29,
28
37 Complexity of control
27, 26,
28, 13
6, 13, 28,
1
16, 17,
26, 24
26
2, 13, 18,
17
2, 39, 30,
16
29, 1, 4,
16
2, 18, 26,
31
3, 4, 16,
35
30, 28,
40, 19
35, 36,
37, 32
27, 13, 1,
39
11, 22,
39, 30
27, 3, 15,
28
19, 29,
39, 25
25, 34, 6,
35
3, 27, 35,
16
2, 24, 26 35, 38
38 Level of automation
28, 26,
18, 35
28, 26,
35, 10
14, 13,
17, 28
23
17, 14,
13
35, 13,
16
28, 10 2, 35 13, 35
15, 32, 1,
13
18, 1 25, 13 6, 9 26, 2, 19 8, 32, 19 2, 32, 13
39 Productivity
35, 26,
24, 37
28, 27,
15, 3
18, 4, 28,
38
30, 7, 14,
26
10, 26,
34, 31
10, 35,
17, 7
2, 6, 34,
10
35, 37,
10, 2
28, 15,
10, 36
10, 37,
14
14, 10,
34, 40
35, 3, 22,
39
29, 28,
10, 18
35, 10, 2,
18
20, 10,
16, 38
35, 21,
28, 10
26, 17,
19, 1
35, 10,
38, 19
Which properties of the system
change for the worse ?
Which properties are to be
improved?

TriS Europe
14. Contradiction Matrix
©
TriS Europe

www.tris-europe.com
246
References:
1. G.S. Altshuller. Creativity as an Exact Science. The Theory of the Solution of Inventive Problems.
Gordon & Breach Science Publishers, 1984, ISSN 0275-5807.
20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39
Energy spent by immobile object
Power
Waste of energy
Waste of substance
Loss of Information
Waste of Time
Amount of substance
Reliability
Accuracy of measurement
Accuracy of manufacturing
Harmful factors acting on object
Harmful side effects
Manufacturability
Convenience of use
Repairability
Adaptability
Complexity of device
Complexity of control
Level of automation
Productivity
1-
12, 36,
18, 31
6, 2, 34,
19
5, 35, 3,
31
10, 24,
35
10, 35,
20, 28
3, 26, 18,
31
1, 3, 11,
27
28, 27,
35, 26
28, 35,
26, 18
22, 21,
18, 27
22, 35,
31, 39
27, 28, 1,
36
35, 3, 2,
24
2, 27, 28,
11
29, 5, 15,
8
26, 30,
36, 34
28, 29,
26, 32
26, 35
18, 19
35, 3, 24,
37
2
18, 19,
28, 1
15, 19,
18, 15
18, 19,
28, 15
5, 8, 13,
30
10, 15,
35
10, 20,
35, 26
19, 6, 18,
26
10, 28, 8,
3
18, 26,
28
10, 1, 35,
17
2, 19, 22,
37
35, 22, 1,
39
28, 1, 9
6, 13, 1,
32
2, 27, 28,
11
19, 15,
29
1, 10, 26,
39
25, 28,
17, 15
2, 26, 35
1, 28, 15,
35
3- 1, 35
7, 2, 35,
39
4, 29, 23,
10
1, 24 15, 2, 29 29, 35
10, 14,
29, 40
28, 32, 4
10, 28,
29, 37
1, 15, 17,
24
17, 15 1, 29, 17
15, 29,
35, 4
1, 28, 10
14, 15, 1,
16
1, 19, 26,
24
35, 1, 26,
24
17, 24,
26, 16
14, 4, 28,
29
412, 8 6, 28
10, 28,
24, 35
24, 26,
30, 29,
14
15, 29,
28
32, 28, 3 2, 32, 10 1, 18
15, 17,
27
2, 25 3 1, 35 1, 26 26
30, 14, 7,
26
5-
19, 10,
32, 18
15, 17,
30, 26
10, 35, 2,
39
30, 26 26, 4
29, 30, 6,
13
29, 9
26, 28,
32, 3
2, 32
22, 33,
28, 1
17, 2, 18,
39
13, 1, 26,
24
15, 17,
13, 16
15, 13,
10, 1
15, 30 14, 1, 13
2, 36, 26,
18
14, 30,
28, 23
10, 26,
34, 2
617, 32 17, 7, 30
10, 14,
18, 39
30, 16
10, 35, 4,
18
2, 18, 40,
4
32, 35,
40, 4
26, 28,
32, 3
2, 29, 18,
36
27, 2, 39,
35
22, 1, 40 40, 16 16, 4 16 15, 16 1, 18, 36
2, 35, 30,
18
23
10, 15,
17, 7
7-
35, 6, 13,
18
7, 15, 13,
16
36, 39,
34, 10
2, 22
2, 6, 34,
10
29, 30, 7
14, 1, 40,
11
26, 26,
28
25, 28, 2,
16
22, 21,
27, 35
17, 2, 40,
1
29, 1, 40
15, 13,
30, 12
10 15, 29 26, 1 29, 26, 4
35, 34,
16, 24
10, 6, 2,
34
830, 6
10, 39,
35, 34
35, 16,
32 18
35, 3 2, 35, 16
35, 10,
25
34, 39,
19, 27
30, 18,
35, 4
35 1 1, 31 2, 17, 26
35, 37,
10, 2
9-
19, 35,
38, 2
14, 20,
19, 35
10, 13,
28, 38
13, 26
10, 19,
29, 38
11, 35,
27, 28
28, 32, 1,
24
10, 28,
32, 25
1, 28, 35,
23
2, 24, 35,
21
35, 13, 8,
1
32, 28,
13, 12
34, 2, 28,
27
15, 10,
26
10, 28, 4,
34
3, 34, 27,
16
10, 18
10
1, 16, 36,
37
19, 35,
18, 37
14, 15
8, 35, 40,
5
10, 37,
36
14, 29,
18, 36
3, 35, 13,
21
35, 10,
23, 24
28, 29,
37, 36
1, 35, 40,
18
13, 3, 36,
24
15, 37,
18, 1
1, 28, 3,
25
15, 1, 11
15, 17,
18, 20
26, 35,
10, 18
36, 37,
10, 19
2, 35
3, 28, 35,
37
11
10, 35,
14
2, 36, 25
10, 36, 3,
37
37, 36, 4
10, 14,
36
10, 13,
19, 35
6, 28, 25 3, 35 22, 2, 37
2, 33, 27,
18
1, 35, 16 11 2 35 19, 1, 35 2, 36, 37 35, 24
10, 14,
35, 37
12 4, 6, 2 14
35, 29, 3,
5
14, 10,
34, 17
36, 22
10, 40,
16
28, 32, 1
32, 30,
40
22, 1, 2,
35
35, 1
1, 32, 17,
28
32, 15,
26
2, 13, 1 1, 15, 29
16, 29, 1,
28
15, 13,
39
15, 1, 32
17, 26,
34, 10
13
27, 4, 29,
18
32, 35,
27, 31
14, 2, 39,
6
2, 14, 30,
40
35, 27
15, 32,
35
13 18
35, 24,
30, 18
35, 40,
27, 39
35, 19
32, 35,
30
2, 35, 10,
16
35, 30,
34, 2
2, 35, 22,
26
35, 22,
39, 23
1, 8, 35
23, 35,
40, 3
14 35
10, 26,
35, 28
35
35, 28,
31, 40
29, 3, 28,
10
29, 10,
27
11, 3 3, 27, 16 3, 27
18, 35,
37, 1
15, 35,
22, 2
11, 3, 10,
32
32, 40,
25, 2
27, 11, 3 15, 3, 32
2, 13, 25,
28
27, 3, 15,
40
15
29, 35,
10, 14
15
19, 10,
35, 38
28, 27, 3,
18
10
20, 10,
28, 18
3, 35, 10,
40
11, 2, 13 3
3, 27, 16,
40
22, 15,
33, 28
21, 39,
16, 22
27, 1, 4 12, 27
29, 10,
27
1, 35, 13
10, 4, 29,
15
19, 29,
39, 35
6, 10
35, 17,
14, 19
16 16
27, 16,
18, 38
10
28, 20,
10, 16
3, 35, 31
34, 27, 6,
40
10, 26,
24
17, 1, 40,
33
22 35, 10 1 1 2
25, 34, 6,
35
1
20, 10,
16, 38
17
2, 14, 17,
25
21, 17,
35, 38
21, 36,
29, 31
35, 28,
21, 18
3, 17, 30,
39
19, 35, 3,
10
32, 19,
24
24
22, 33,
35, 2
22, 35, 2,
24
26, 27 26, 27 4, 10, 16 2, 18, 27 2, 17, 16
3, 27, 35,
31
26, 2, 19,
16
15, 28,
35
18
32, 35, 1,
15
32
13, 16, 1,
6
13, 1 1, 6
19, 1, 26,
17
1, 19
11, 15,
32
3, 32 15, 19
35, 19,
32, 39
19, 35,
28, 26
28, 26,
19
15, 17,
13, 16
15, 1, 1,
19
6, 32, 13 32, 15 2, 26, 10 2, 25, 16
19 -
6, 19, 37,
18
12, 22,
15, 24
35, 24,
18, 5
35, 38,
19, 18
34, 23,
16, 18
19, 21,
11, 27
3, 1, 32
1, 35, 6,
27
2, 35, 6
28, 26,
30
19, 35
1, 15, 17,
28
15, 17,
13, 16
2, 29, 27,
28
35, 38 32, 2
12, 28,
35
20 +
28, 27,
18, 31
3, 35, 31
10, 36,
23
10, 2, 22,
37
19, 22,
18
1, 4
19, 35,
16, 25
1, 6
21 +
10, 35,
38
28, 27,
18, 38
10, 19
35, 20,
10, 6
4, 34, 19
19, 24,
26, 31
32, 15, 2 32, 2
19, 22,
31, 2
2, 35, 18
26, 10,
34
26, 35,
10
35, 2, 10,
34
19, 17,
34
20, 19,
30, 34
19, 35,
16
28, 2, 17
28, 35,
34
22 3, 38 +
35, 27, 2,
37
19, 10
10, 18,
32, 7
7, 18, 25
11, 10,
35
32
21, 22,
35, 2
21, 35, 2,
22
35, 32, 1 2, 19 7, 23
35, 3, 15,
23
2
28, 10,
29, 35
23
28, 27,
12, 31
28, 27,
18, 38
35, 27, 2,
31
+
15, 18,
35, 10
6, 3, 10,
24
10, 29,
39, 35
16, 34,
31, 28
35, 10,
24, 31
33, 22,
30, 40
10, 1, 34,
29
15, 34,
33
32, 28, 2,
24
2, 35, 34,
27
15, 10, 2
35, 10,
28, 24
35, 18,
10, 13
35, 10,
18
28, 35,
10, 23
24 10, 19 19, 10 +
24, 26,
28, 32
24, 28,
35
10, 28,
23
22, 10, 1
10, 21,
22
32 27, 22 35, 33 35
13, 23,
15
25 1
35, 20,
10, 6
10, 5, 18,
32
35, 18,
10, 39
24, 26,
28, 32
+
35, 38,
18, 16
10, 30, 4
24, 34,
28, 32
24, 26,
28, 18
35, 18,
34
35, 22,
18, 39
35, 28,
34, 4
4, 28, 10,
34
32, 1, 10 35, 28 6, 29
18, 28,
32, 10
24, 28,
35, 30
26 3, 35, 31 35 7, 18, 25
6, 3, 10,
24
24, 28,
35
35, 38,
18, 16
+
18, 3, 28,
40
13, 2, 28 33, 30
35, 33,
29, 31
3, 35, 40,
39
29, 1, 35,
27
35, 29,
25, 10
2, 32, 10,
25
15, 3, 29
3, 13, 27,
10
3, 27, 29,
18
8, 35
13, 29, 3,
27
27 36, 23
21, 11,
26, 31
10, 11,
35
10, 35,
29, 39
10, 28 10, 30, 4
21, 28,
40, 3
+
32, 3, 11,
23
11, 32, 1
27, 35, 2,
40
35, 2, 40,
26
27, 17,
40
1, 11
13, 35, 8,
24
13, 35, 1
27, 40,
28
11, 13,
27
1, 35, 29,
38
28 3, 6, 32
26, 32,
27
10, 16,
31, 28
24, 34,
28, 32
2, 6, 32
5, 11, 1,
23
+
28, 24,
22, 26
3, 33, 39,
10
6, 35, 25,
18
1, 13, 17,
34
1, 32, 13,
11
13, 35, 2
27, 35,
10, 34
26, 24,
32, 28
28, 2, 10,
34
10, 34,
28, 32
29 32, 2 13, 32, 2
35, 31,
10, 24
32, 26,
28, 18
32, 30 11, 32, 1 +
26, 28,
10, 36
4, 17, 34,
26
1, 32, 35,
23
25, 10 26, 2, 18
26, 28,
18, 23
10, 18,
32, 39
30
10, 2, 22,
37
19, 22,
31, 2
21, 22,
35, 2
33, 22,
19, 40
22, 10, 2
35, 18,
34
35, 33,
29, 31
27, 24, 2,
40
28, 33,
23, 26
26, 28,
10, 18
+ 24, 35, 2
2, 25, 28,
39
35, 10, 2
35, 11,
22, 31
22, 19,
29, 40
22, 19,
29, 40
33, 3, 34
22, 35,
13, 24
31
19, 22,
18
2, 35, 18
21, 35, 2,
22
10, 1, 34
10, 21,
29
1, 22
3, 24, 39,
1
24, 2, 40,
39
3, 33, 26
4, 17, 34,
26
+ 19, 1, 31
2, 21, 27,
1
2
22, 35,
18, 39
32 1, 4
27, 1, 12,
24
19, 35
15, 34,
33
32, 24,
18, 16
35, 28,
34, 4
35, 23, 1,
24
1, 35, 12,
18
24, 2 +
2, 5, 13,
16
35, 1, 11,
9
2, 13, 15 27, 26, 1
6, 28, 11,
1
8, 28, 1
35, 1, 10,
28
33
35, 34, 2,
10
2, 19, 13
28, 32, 2,
24
4, 10, 27,
22
4, 28, 10,
34
12, 35
17, 27, 8,
40
25, 13, 2,
34
1, 32, 35,
23
2, 25, 28,
39
2, 5, 12 +
12, 26, 1,
32
15, 34, 1,
16
32, 26,
12, 17
1, 34, 12,
3
15, 1, 28
34
15, 10,
32, 2
15, 1, 32,
19
2, 35, 34,
27
32, 1, 10,
25
2, 28, 10,
25
11, 10, 1,
16
10, 2, 13 25, 10
35, 10, 2,
16
1, 35, 11,
10
1, 12, 26,
15
+
7, 1, 4,
16
35, 1, 13,
11
34, 35, 7,
13
1, 32, 10
35 19, 1, 29 18, 15, 1
15, 10, 2,
13
35, 28 3, 35, 15
35, 13, 8,
24
35, 5, 1,
10
35, 11,
32, 31
1, 13, 31
15, 34, 1,
16
1, 16, 7,
4
+
15, 29,
37, 28
1
27, 34,
35
35, 28, 6,
37
36
20, 19,
30, 34
10, 35,
13, 2
35, 10,
28, 29
6, 29
13, 3, 27,
10
13, 35, 1
2, 26, 10,
34
26, 24,
32
22, 19,
29, 40
19, 1
27, 26, 1,
13
27, 9, 26,
24
1, 13
29, 15,
28, 37
+
15, 10,
37, 28
15, 1, 24
12, 17,
28
37
19, 35,
16
18, 1, 16,
10
35, 3, 15,
19
1, 18, 10,
24
35, 33,
27, 22
18, 28,
32, 9
3, 27, 29,
18
27, 40,
28, 8
26, 24,
32, 28
22, 19,
29, 28
2, 21
5, 28, 11,
29
2, 5 12, 26 1, 15
15, 10,
37, 28
+ 34, 21 35, 18
38 28, 2, 27 23, 28
35, 10,
18, 5
35, 33
24, 28,
35, 30
35, 13
11, 27,
32
28, 26,
10, 34
28, 26,
18, 23
2, 33 2 1, 26, 13
1, 12, 34,
3
1, 35, 13
27, 4, 1,
35
15, 24,
10
34, 27,
25
+
5, 12, 35,
26
39 1
35, 20,
10
28, 10,
29, 35
28, 10,
35, 23
13, 15,
23
35, 38
1, 35, 10,
38
1, 10, 34,
28
18, 10,
32, 1
22, 35,
13, 24
35, 22,
18, 39
35, 28, 2,
24
1, 28, 7,
10
1, 32, 10,
25
1, 35, 28,
37
12, 17,
28, 24
35, 18,
27, 2
5, 12, 35,
26
+
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