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Apostolos Syropoulos

Apostolos Syropoulos

PhD

About

146
Publications
19,115
Reads
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586
Citations
Education
September 1998 - March 2002
Democritus University of Thrace
Field of study
  • Theoretical Computer Science
September 1991 - June 1993
University of Gothenburg
Field of study
  • Computer Science
September 1983 - September 1989
University of Ioannina
Field of study
  • Physics

Publications

Publications (146)
Conference Paper
It is undeniable that information flow is crucial for the dissemination of information and knowledge. However, information flows in a vague environment; that is, an environment full of noise. Starting from a “pure” model of information flow, I propose a model that incorporates vagueness. This model has the capacity to describe information loss, and...
Article
Full-text available
The basic set operations between fuzzy sets are defined using the min and max functions; however, later on, new operators were introduced that used other functions, which, nevertheless, had similar properties to functions min and max. The resulting fuzzy set theories are more suitable for the description and processing of specific data sets. Crisp...
Book
Full-text available
The book starts with the assumption that vagueness is a fundamental property of this world. From a philosophical account of vagueness via the presentation of alternative mathematics of vagueness, the subsequent chapters explore how vagueness manifests itself in the various exact sciences: physics, chemistry, medicine, computer science, and engineer...
Chapter
After a brief discussion of vagueness and its importance and short introductions to fuzzy sets and category theory, I discuss categories of fuzzy structures (i.e., categories whose objects are fuzzy structures) and I present two versions of fuzzy categories: one that is based on the theory of fuzzy graphs and one that is based on the idea that cate...
Article
Full-text available
We report the results of an EU-funded project and its impact on participating teachers. Teachers participating in the project had practically no previous knowledge of game-based education whereas they got a thorough understanding of it at the end of the project. In addition, and most importantly, teachers had to guide pupils in designing and implem...
Chapter
The authors show how information communication and technologies (ICTs) can be used to boost the economy of a country that emerges from a deep crisis. In particular, they discuss how the economy can change by incorporating ICTS in all areas of economic activity. In addition, they examine how Greece, which is a typical example of a country thar emerg...
Chapter
Computers are widely used in physics and other natural sciences to simulate physical phenomena. Thus, people routinely use computers to model many and different physical systems. In addition, computers have been used to solve difficult problems by simulating successful practices employed by living organism. However, it seems not everything can be s...
Chapter
Digital documents tend to replace printed documents in many ways. For publishers it is cheaper to produce them and readers can get them instantly. However, the spectrum of “printed” material is quite big and so there is no way to have one kind of digital document that can satisfy all those involved in the publishing business (e.g., authors, readers...
Chapter
The proliferation of the use of websites and their counterparts for mobile devices has created a number of problems that did not occur in the past. Typically, one needs to create many and different accounts for all websites and apps she wants to use. However, this means one has to do a lot of booking work. Fortunately, authentication and authorizat...
Article
Generally, an object is vague when its properties cannot precisely defined. The ontic view of vagueness is the idea that vagueness is a fundamental property of Nature. This simply means that everything is vague: animals, plants, molecules, atoms, etc. Furthermore, if atoms and molecules are vague, then the subject matter of chemistry is vague. Howe...
Article
Geometry and topology are two different branches of mathematics that deal with the same objects. This chapter discusses fuzzy topology, and since metrics induce topologies, it begins with fuzzy metric spaces. Fuzzy metric spaces were introduced by Ivan Kramosil and Jirí Michálek. In their approach, the distance between two points is not just a real...
Article
Logic is about the process of reaching an answer by thinking about known facts. And logic in general can be divided into formal logic, informal logic, symbolic logic, and mathematical logic. Aristotle invented logic, but it took more than two millennia to have a mathematical description of logic and its rules. In logic, we can combine statements or...
Article
This chapter describes a fuzzy restriction that acts as an elastic constraint on the values that may be assigned to a variable, and introduces possibility measures and necessity measures. A theory that is based on possibility and necessity measures is usually called a possibility theory. The chapter discusses the possibility theory and its relation...
Article
Many and different real or conceptual devices capable of performing computations have been proposed. Most of them operate in a crisp environment and in a crisp manner. However, there are some devices that profit from the use of vagueness in their overall operation. This chapter describes such devices and the related theory. It discusses fuzzy autom...
Article
Fuzzy numbers are a mathematical formulation of vague statements about real numbers. They are a special kind of fuzzy sets that have been introduced by Zadeh. A triangular fuzzy number is a fuzzy set whose graph is a triangle. Trapezoidal fuzzy numbers are, of course, fuzzy sets but since their core contains more than one element, they cannot be cl...
Book
Full-text available
This book aims to fill a gap in fuzzy mathematics literature by presenting recent developments and also discussing what has been done so far in the field. The book contains 12 chapters. Chapter 1 introduces the reader to the basic ideas behind fuzzy sets. The authors explain what vagueness is and how it is different from other related ideas such as...
Chapter
Abstract algebra is a very important field of mathematics. Many researchers working on fuzzy mathematics tried to introduce various fuzzy versions of known algebraic structures such as groups, rings, fields, etc. This chapter begins with classical concepts and notions in abstract algebra. It starts with groupoids and semigroups with definitions. Ro...
Chapter
In the context of fuzzy mathematics, one follows a different route in geometry and its relation to reality. Indeed, when one studies or measures real objects, he/she soon realizes that the very process of measurement will often render expectations and theoretically exact predictions as improbable. In fact, fuzzy geometry has been studied from diffe...
Chapter
Fuzzy relations are important tools that are used in fuzzy modeling, fuzzy diagnosis, and fuzzy control, which explains why it is useful to have a good understanding of fuzzy relations and their properties. Fuzzy relations extend crisp relations just like fuzzy sets extend crisp sets. This chapter discusses the properties of relations and explains...
Chapter
The importance of fuzzy calculus becomes strongly evident if one thinks of the role played by classical calculus concepts in the mathematical modeling of real‐world phenomena. There is an imprecision or vagueness often characterizing the gathered experimental information or even the theoretical background needed to quantitatively describe a particu...
Chapter
Based on the assumption that all mathematics can be built up from sets, one has to first define fuzzy sets and their variations. This chapter explores truth values and their algebras and presents basic ideas and results of lattice theory. In 1965, Zadeh published a paper entitled “Fuzzy Sets” where he introduced his fuzzy sets. In classical set the...
Chapter
This chapter presents a brief review of random variables, also known as stochastic variables, and their properties as well as the classical statistical notions of point estimation, interval estimation, hypothesis testing, and regression. It introduces fuzzy‐valued random variables and adopts the Kruse–Meyer approach in which a fuzzy random variable...
Preprint
Full-text available
Brown and Gurr have introduced a model of Petri Nets that is based on de~Paiva's Dialectica categories. This model was refined in an unpublished technical report, where Petri nets with multiplicities, instead of {\em elementary} nets (i.e., nets with multiplicities zero and one only) were considered. In this note we expand this modelling to deal wi...
Chapter
Bigraphs and their algebra is a model of concurrency. Fuzzy bigraphs are a generalization of birgraphs intended to be a model of concurrency that incorporates vagueness. More specifically, this model assumes that agents are similar, communication is not perfect, and, in general, everything is or happens to some degree.
Article
Full-text available
Trail-And-Error machines have been proposed by Hintikka and Mutanen as an alternative formulation of the notion of (mechanical) computation. These machines extend the capabilities of the Turing machine and widen the theory of computation.
Preprint
Full-text available
Bigraphs and their algebra is a model of concurrency. Fuzzy bigraphs are a generalization of birgraphs intended to be a model of concurrency that incorporates vagueness. More specifically, this model assumes that agents are similar, communication is not perfect, and, in general, everything is or happens to some degree.
Book
Full-text available
This is a short introduction to JavaScript programming that has been designed for people who want to learn how to create simple or not so simple animations with the HTML5 element. The text assumes that the reader is familiar with certain basic things (the use of a browser and a text editor), which I believe are common knowledge nowadays.
Chapter
The economy of any country can thrive, decline, or remain steady. A declining economy is a troubled one, and it is necessary to find ways to reverse its course. Naturally, there is no single recipe to put a troubled economy back on track, but innovation and technology always help an economy to boost itself. In particular, information and computer t...
Preprint
Full-text available
P systems are computing conceptual computing devices that are at least as powerful as Turing machines. However, until recently it was not known how one can encode any recursive function as a P~system. Here we propose a new encoding of recursive as P~systems with graph-like structure, which is the main difference with previous documented attempts. T...
Chapter
Full-text available
The motion planning problem is a fundamental problem in robotics, so that every autonomous robot should be able to deal with it. A number of solutions have been proposed and a probabilistic one seems to be quite reasonable. However, here we propose a more adoptive solution that uses fuzzy set theory and we expose this solution next to a sort survey...
Chapter
Full-text available
Podcasting and vodcasting are audio and video files, respectively. These files can be accessed by subscribers at any time of day. Initially, the technology was used for information and entertainment. Later on, it became clear that this technology could be useful in education. There are many advantages in the use of these technologies. Yet, there ar...
Article
Full-text available
The motion planning problem is a fundamental problem in robotics, so that every autonomous robot should be able to deal with it. A number of solutions have been proposed and a probabilistic one seems to be quite reasonable. However, here we propose a more adoptive solution that uses fuzzy set theory and we expose this solution next to a sort survey...
Chapter
Full-text available
Vagueness is something everyone is familiar with. In fact, most people think that vagueness is closely related to language and exists only there. However, vagueness is a property of the physical world. Quantum computers harness superposition and entanglement to perform their computational tasks. Both superposition and entanglement are vague process...
Chapter
Podcasting and vodcasting are audio and video files, respectively. These files can be accessed by subscribers at any time of day. Initially, the technology was used for information and entertainment. Later on, it became clear that this technology could be useful in education. There are many advantages in the use of these technologies yet there are...
Chapter
The economy of any country can thrive, decline or remain steady. A declining economy is a troubled one and it is necessary to find ways to reverse its course. Naturally, there is no single recipe to put a troubled economy back on track but innovation and technology always help an economy to boost itself. In particular, information and computer tech...
Poster
Full-text available
Ideograms (symbols that represent a word or idea) have a great communicative value. They refer to concepts in a simple manner, thus making it easier the understanding of complex ideas where such concepts appear. In addition, ideograms simplify the notation, which is often cumbersome for equations in physics. We propose ideograms for essential conce...
Chapter
Vagueness refers to situations where it is not clear whether an object has a property or not (e.g., properties that manifest vagueness include height, spiciness, and beauty). Fuzzy set theory is one possible mathematical model of vagueness and fuzzy logic is the logic associated with fuzzy sets. Typically, elements belong to fuzzy sets to a degree,...
Chapter
Full-text available
Fractal geometry has found many applications in science and technology. Some time ago, it was used to study urban development. However, something that has not been addressed so far, to the best of our knowledge, is whether a drastic extension of some urban area also changes drastically the box-counting dimension of the area. In addition, it is not...
Article
Ideograms (symbols that represent a word or idea) have great communicative value. They refer to concepts in a simple manner, easing the understanding of related ideas. Moreover, ideograms can simplify the often cumbersome notation used in the fields of Physics and physical Chemistry. Nonetheless only a few specific ideograms for these fields have b...
Poster
Full-text available
A presentation of the Asana Math font at the ATypI 2016 conference
Article
Full-text available
Although Internet Addiction is not listed in the Diagnostic and Statistical Manual of Mental Disorders, it is an increasingly prevalent problem that affects a lot of people, including pupils. Erasmus+ Strategic partnerships, which are co-funded by the Erasmus+ Program of the European Union, allow schools to form partnerships that work on projects t...
Article
Full-text available
Vagueness is a linguistic phenomenon as well as a property of physical objects. Fuzzy set theory is a mathematical model of vagueness that has been used to define vague models of computation. The prominent model of vague computation is the fuzzy Turing machine. This conceptual computing device gives an idea of what computing under vagueness means,...
Chapter
Multisets and Multirelations are extensions of ordinary sets and relations while fuzzy multisets and fuzzy multirelations are fuzzy extensions of these concept. Although many generalizations tend to be meaningless, these are quite useful as one can model things we see everyday. In addition, these structures have found uses in the theory of computat...
Poster
Full-text available
A description of a new font (and its accompanying LaTeX package) that introduces new symbols for setting Physics texts.
Article
Full-text available
Since categories are graphs with additional "structure", one should start from fuzzy graphs in order to define a theory of fuzzy categories. Thus is makes sense to introduce categories whose morphisms are associated with a plausibility degree that determines to what extend it is possible to "go" from one object to another one. These categories are...
Chapter
Turing machines form the core of computability theory, or recursion theory as it is also known. This chapter introduces basic notions and results and readers already familiar with them can safely skip it. The exposition is based on standard references [18, 39, 67, 83, 109]. In the discussion that follows, the symbol ℕ will stand for the set of posi...
Chapter
Fuzzy Turing machines are not the only way to perform computation in a vague environment. Other models of fuzzy computation are inspired by biological phenomena or, more generally, by natural phenomena. Fuzzy P systems and the fuzzy chemical abstract machine are such models of computation. Some of these models have been studied in some detail while...
Chapter
The fusion of computability theory (CP) with fuzzy set theory (FST) demands a good knowledge of both theories. Thus, this introductory chapter tries to familiarize readers with a number of concepts and ideas that are necessary for the rest of this book. In particular, I start with a review of the events that lead to what is now known as computer sc...
Article
Full-text available
Nowadays, scripting programming languages like Python, Perl and Ruby are widely used in system programming, scientific computing, etc. Although solving a particular problem in these languages requires less time, less programming effort, and less concepts to be taught to achieve the desired goal, still they are not used as teaching tools. Therefore,...
Chapter
The notion of fuzziness lies at the core of fuzzy computability theory. Thus, one should have a basic understanding of the ideas involved. This chapter serves both as a crash course in fuzzy set theory, for those readers that have no previous knowledge of the concepts involved, and as a précis of fuzzy set theory, for those readers familiar with th...
Chapter
The Turing machine is the archetypal conceptual computing device and as such it is almost always used to define new models of computations by augmenting the functionality of the machine. For example, as was explained in Sect. 2.2.2, a probabilistic model of computation is defined by introducing a probabilistic version of the Turing machine, that is...
Book
This book provides the first full length exploration of fuzzy computability. It describes the notion of fuzziness and features the basic ideas of computability theory. It then presents the various approaches to fuzzy computability. This text provides a glimpse into the different approaches in this area, which is important for researchers in order t...
Article
In this review I give a brief overview of the use of vagueness in computing. In particular, I give a description of what vagueness is and how, in the form of fuzzy set theory, it has been applied to define (conceptual) models of computation. In particular, I give an overview of fuzzy Turing machine, fuzzy P systems, and the fuzzy chemical abstract...
Article
Hypercomputation is about the feasibility of machines and systems that are either more expressive or computationally more powerful than the Turing machine. A number of researchers and thinkers have put forth a number of supposedly knock-out arguments against hypercomputation. Nevertheless, these arguments are not unwavering as they seem to be and h...
Chapter
Typically, when a computer performs a task, it can be seen as a calculation or a reckoning. For example, consider a simple arcade video game where the machine continuously gets input from the user and computes the new position of some "characters" that move on a board, etc. A particularly interesting aspect of computation is that the majority of pe...
Article
Full-text available
An orthogonal approach to the fuzzification of both multisets and hybrid sets is presented. In particular, we introduce L-multi-fuzzy and L-fuzzy hybrid sets, which are general enough and in spirit with the basic concepts of fuzzy set theory. In addition, we study the properties of these structures. Also, the usefulness of these structures is exami...
Article
Full-text available
Dialectica categories are a very versatile categorical model of linear logic. These have been used to model many seemingly different things (e.g., Petri nets and Lambek's calculus). In this note, we expand our previous work on fuzzy petri nets to deal with fuzzy topological systems. One basic idea is to use as the dualizing object in the Dialectica...
Article
Full-text available
By using the representational power of Chu spaces we define the notion of a generalized topological space (or GTS, for short), i.e., a mathematical structure that generalizes the notion of a topological space. We demonstrate that these topological spaces have as special cases known topological spaces. Furthermore, we develop the various topological...
Book
Scala is a highly expressive, concise and scalable language. It is also the most prominent method of the new and exciting methodology known as object-functional programming. In this book, the authors show how Scala grows to the needs of the programmer, whether professional or hobbyist. They teach Scala with a step-by-step approach and explain how t...
Article
Full-text available
Roughly, the Church-Turing thesis is a hypothesis that describes exactly what can be computed by any real or feasible conceptual computing device. Generally speaking, the computational metaphor is the idea that everything, including the universe itself, has a computational nature. However, if the Church-Turing thesis is not valid, then does it make...
Article
Full-text available
Hypercomputation is a relatively new branch of computer science that emerged from the idea that the Church--Turing Thesis, which is supposed to describe what is computable and what is noncomputable, cannot possible be true. Because of its apparent validity, the Church--Turing Thesis has been used to investigate the possible limits of intelligence o...
Article
Full-text available
Fuzzy set theory opens new vistas in computability theory and here I show this by defining a new computational metaphor--the fuzzy chemical metaphor. This metaphor is an extension of the chemical metaphor. In particular, I introduce the idea of a state of a system as a solution of fuzzy molecules, that is molecules that are not just different but r...
Book
This book provides a thorough description of hypercomputation. It covers all attempts at devising conceptual hypermachines and all new promising computational paradigms that may eventually lead to the construction of a hypermachine. Readers will gain a deeper understanding of what computability is, and why the Church-Turing thesis poses an arbitrar...
Article
Full-text available
P systems is a model of computation inspired by the way cells live and function. A typical P system consists of nested compartments surrounded by porous membranes, which contain data that are transformed by transformation rules. P systems can be simulated by a distributed computing system, where each compartment of a given system is simulated by a...
Article
Full-text available
Uncertainty is an inherent property of all living systems. Curiously enough, computational models inspired by biological systems do not take, in general, under consideration this essential aspect of living systems. In this paper, after introducing the notion of a multi-fuzzy set (i.e. an orthogonal approach to the fuzzification of multisets), we in...
Article
Full-text available
The construction of a new categorical fuzzy model for linear logic is presented. The construction is based on a general poset-valued model. Since the resulting categories are not identical to existing categories of all fuzzy sets, we investigate the relationship between the two categories. We conclude with very brief comments regarding the usefulne...
Article
Full-text available
Modern digital typography makes it possible to reliably reproduce ancient texts. In the T E X world, one usually employs a macro package and one or more PostScript fonts in order to accomplish his/her task. Here we briefly describe some tools that have not been described in the literature and then we give our own response to the important question...
Article
Full-text available
The ascii package is a LATEX2" implementation of the earlier LATEX2.09 version 1 , and provides glyph and font access commands which allow the ASCII font to be easily typeset. The ASCII font is encoded according to the IBM PC Code Page 437 C0 Graphics.
Article
Full-text available
By fuzzifying the number of occurrences of an element of a multiset, we obtain a new fuzzy structure; similarly, by fuzzifying the number of occurrences of an element of a hybrid set, we obtain another new fuzzy structure. The aim of the present work is twofold: to provide a concise definition of these new fuzzy structures and their properties and...
Article
The relationships between “two-sided” categorical models of linear logic and Goguen sets is investigated. In particular, we show that only certain Goguen sets can be represented as Chu spaces, while it is possible to represent any Goguen set as a Dialectica space. In addition, we discuss the benefits of these representations.

Questions

Question (1)
Question
In 2006 I published a paper entitled Fuzzifying P Systems (see http://comjnl.oxfordjournals.org/content/early/2006/07/20/comjnl.bxl029.extract ) where I introduced this term to describe a version of fuzzy multisets. I guess the authors of the paper you mention should have chosen a new name or at least explain that they are talking about something new or entirely different,

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Projects

Projects (2)
Project
I am thinking about models of computation based on rough sets.