From a very broad point of view a Fuzzy System (FS) is any Fuzzy Logic – Based System, where Fuzzy Logic can be used either as the basis for the representation of various forms of knowledge systems, or to model the interactions and relationships among the system variables. Genetic Algorithms (GAs) are general purpose research algorithms which use principles inspired by natural genetics to evolv...

This chapter deals with the application of fuzzy logic to autonomous navigation of mobile robots. Two different tracking problems are considered: tracking of previously computed explicit paths, and tracking of walls and other natural features in the robot environment. Fuzzy logic allows the management of heuristic rule base knowledge, imprecise information from sensors, and the uncertainties in...

This paper provides an overview to detect, locate, and characterize fault in structural and mechanical systems using various methods. Since last few decades experimentally measured frequencies has been extensively used to crack detection. The relationships between frequency changes and structural damage are discussed. Various reverse techniques proposed for detecting fault using natural frequen...

fuzzy controllers are being used in various control schemes. the aim of this work was adjusting hemodialysis machine parameters utilizing a fuzzy logic controller (flc) so that patient’s hemodynamic condition remains stable during hemodialysis treatment. for this purpose a comprehensive mathematical model of the arterial pressure response during hemodialysis, including hemodynamic, osmotic, and...

If we view fuzzy logic as a logic, i.e., as a particular case of a multivalued logic, then one of the most natural questions to ask is whether the corresponding propositional logic is decidable, i.e., does there exist an algorithm that, given two propositional formulas F and G, decides whether these two formulas always have the same truth value. It is known that the simplest fuzzy logic, in whi...

The goal of this paper is twofold: first, we give overview of the results of one part of the Fuzzy Natural Logic — the formal theory of intermediate quantifiers and syllogisms based on them. We present 105 valid basic syllogisms and show that for the proof of validity of all of them, we need to prove validity of only few of them so that validity of the other ones immediately follows. In the sec...

Fuzzy logic is an organized and mathematical method of handling inherently imprecise concepts through the use of membership functions, which allows membership with a certain degree. It has found application in numerous problem domains. It has been used in the interval [0, 1] fuzzy clustering, in pattern recognition and in other domains. In this paper, we introduce fuzzy logic, fuzzy clustering ...

Fuzzy logic is relatively young theory. Major advantage of this theory is that it allows the natural description, in linguistic terms, of problems that should be solved rather than in terms of relationships between precise numerical values. This advantage, dealing with the complicated systems in simple way, is the main reason why fuzzy logic theory is widely applied in technique. It is also pos...

in this paper we continue development of formal theory of a special class offuzzy logics, called eq-logics. unlike fuzzy logics being extensions of themtl-logic in which the basic connective is implication, the basic connective ineq-logics is equivalence. therefore, a new algebra of truth values calledeq-algebra was developed. this is a lower semilattice with top element endowed with two binary...