Some basic notions of fuzzy logic for trapezoidal fuzzy numbers are extended. Purpose of these extensions is to give a generalized model of judgment and preference aggregation by using trapezoidal fuzzy numbers. Examples are given to illustrate the proposed technique to optimize the problem by...

Given a universe of discourse X. A fuzzy similarity mapping ST,Inc : F(X) × F(X) → F(X) is defined, where F(X) denotes the set of all fuzzy subsets of X. Mapping ST,Inc maps two fuzzy sets A and B to a fuzzy set ST,Inc(A,B) in X called their fuzzy set of similarity. A measure of similarity...

Fuzzy inclusion and fuzzy similarity are introduced as mappings which produce fuzzy sets constructed with the help of Gödel implicator. The properties of resulting fuzzy sets of inclusion and similarity are studied in detail. Some axiomatic characteristics for being fuzzy orders and fuzzy...