Thus, each t-norm determines a different set of true formulas (1-tautologies) and false formulas (0-contradictions) and therefore different (fuzzy) logics. The fuzzy logic where the interpretation o...V, Novak, R. Mesiar (1999). Operations fitting triangular-norm-based biresiduation. Fuzzy...
The fuzzy weighted average operations are common ones in the assessment and decision analysis when the value and weight are described to triangular fuzzy number. In this paper, we define fuzzy weight vector which satisfies weight definition, present a new method for finding the fuzzy weighted averag...
A Triangular Type-2 Fuzzy Logic System This paper provides a new method for complexity reduction to operations on triangular type-2 fuzzy sets. The method for the algebraic product case is ... JT Starczewski - IEEE International Conference on Fuzzy Systems 被引量: 69发表: 2006年 On the comp...
Moreover, the model of fuzzy rough sets can also be used for general data mining operations, like clustering or classification in the case of uncertain input domains [32]. Obviously, the discussion of mathematical theory of fuzzy rough sets is beneficial to improve their application effect. In ...
In the subsequent discussion, Ω represents the universal set. Definition 1 ([26]). A fuzzy set (FS) in Ω is an object of form A = x , μ A ( x ) ; x ∈ Ω , where μ A : Ω → [ 0 , 1 ] represents the membership function of the elements of Ω to A. Definition ...
Deschrijver [71] introduced the extensions operations to the lattice of closed interval-valued fuzzy set (IVFS) based on Frank t-norms and provided necessary and sufficient conditions such that the these operations can formed a complete algebraic lattice structure. Some researchers also studied variou...
Some arithmetic operations on Triangular Intuitionistic Fuzzy Number and its application on reliability evaluation Generally fuzzy sets are used to analyze the fuzzy system reliability. Here intuitionistic fuzzy set theory has been used for analyzing the fuzzy system reliability. To analyze the fuzzy syste...
Function principle is used as the fuzzy arithmetical operations of triangular fuzzy numbers. In addition, utility similarity is proposed to choose the ... CH Hsieh,SH Chen - 《Information Sciences》 被引量: 130发表: 1999年 Fuzzy numbers and equality relations A general approach to the concept ...
The purpose of this book is to develop a suite of effective and efficient linear programming models and methods for solving matrix games with payoffs in fuzzy numbers. Divided into six chapters, it discusses the concepts of solutions of matrix games with payoffs of intervals, along with their ...
It explains the divisibility of these operations. In case of logics where the class of truth values is modeled by a discrete set, their connectives can also be interpreted from the so called discrete triangular norms, discrete triangular conorms, and discrete strong negations. The fundamental ...