Article

More on intuitionistic fuzzy sets

Inst. for Microsystems, Lenin Boul. 7 km., 1184 Sofia, Bulgaria
Fuzzy Sets and Systems DOI:10.1016/0165-0114(89)90215-7 pp.37-45

ABSTRACT New results on intuitionistic fuzzy sets are introduced. Two news operators on intuitionistic fuzzy sets are defined and their basic properties are studied.

0 0
 · 
0 Bookmarks
 · 
29 Views
  • Source
    Chapter: Intuitionistic Fuzzy Clustering with Applications in Computer Vision
    [show abstract] [hide abstract]
    ABSTRACT: Intuitionistic fuzzy sets are generalized fuzzy sets whose elements are characterized by a membership, as well as a non-membership value. The membership value indicates the degree of belongingness, whereas the non-membership value indicates the degree of non-belongingness of an element to that set. The utility of intuitionistic fuzzy sets theory in computer vision is increasingly becoming apparent, especially as a means to coping with noise. In this paper, we investigate the issue of clustering intuitionistic fuzzy image representations. To achieve that we propose a clustering approach based on the fuzzy c-means algorithm utilizing a novel similarity metric defined over intuitionistic fuzzy sets. The performance of the proposed algorithm is evaluated for object clustering in the presence of noise and image segmentation. The results indicate that clustering intuitionistic fuzzy image representations can be more effective, noise tolerant and efficient as compared with the conventional fuzzy c-means clustering of both crisp and fuzzy image representations.
    10/2008: pages 764-774;
  • Source
    Article: Switching between type-2 fuzzy sets and intuitionistic fuzzy sets: an application in medical diagnosis.
    Appl. Intell. 01/2009; 31:283-291.
  • Source
    Article: Intuitionistic fuzzy sets: Spherical representation and distances
    [show abstract] [hide abstract]
    ABSTRACT: Most existing distances between intuitionistic fuzzy sets are defined in linear plane representations in 2D or 3D space. Here, we define a new interpretation of intuitionistic fuzzy sets as a restricted spherical surface in 3D space. A new spherical distance for intuitionistic fuzzy sets is introduced. We prove that the spherical distance is different from those existing distances in that it is nonlinear with respect to the change of the corresponding fuzzy membership degrees. © 2009 Wiley Periodicals, Inc.
    International Journal of Intelligent Systems 03/2009; 24(4):399 - 420. · 1.65 Impact Factor