The considered models describe multicriteria decision making when the information provided from different criteria is given as fuzzy relations. These models differ according to the kind of the criteria weights and the aggregation procedures to fuse the fuzzy relations. The properties of aggregated fuzzy relation required to decide some multicriteria problem is discussed.

Normal forms have been introduced as approximating relations for fuzzy relations. Moreover, they can be viewed as a formalization of a collection of fuzzy IF-THEN rules. Therefore, investigation of approximating abilities of normal forms together with determination of an appropriate inference engine contributes to building of fuzzy systems.

We generalize the solution of a multicriterial optimization problem which has been given in [5]. They have used a comparison of the criterion fuzzy preference relations and the general fuzzy preference relation. Based on this comparison they have constructed the ordering of criteria. Our modification builds on pairwise similarity of criterion related fuzzy preference relations. We illustrate ou...

This paper aims to introduce fuzzy congruence relations over Heyting algebras (HA) and give constructions of quotient Heyting algebras induced by fuzzy congruence relations on HA. The Fuzzy First, Second and Third Isomorphism Theorems of HA are established. MSC: 06D20, 06D72, 06D75.

The fuzzy extension principle has been widely used to extend the domain of mathematical functions and relations from elements of a referential set to fuzzy subsets of that referential set. However, there are restrictions associated with the fuzzy extension principle. This paper addresses the question how restricted is the family of “fuzzy set to fuzzy set mappings” obtained by the fuzzy extensi...

This note corrects and extends a recent axiomatic characterization of the Orlovsky choice function for a particular class of transitive fuzzy relations. The interest of characterizing choice functions for "well-behaved" fuzzy relations is then discussed.

In this paper, we present the concept of relations in intuitionistic fuzzy soft set and study some of their properties and also discuss symmetric, transitive and reflexive intuitionistic fuzzy soft relations.

We give the simple general principle of studying the relations among fuzzy t-filters on residuated lattices. Using the general principle, we can easily determine the relations among fuzzy t-filters on different logical algebras.

Models of a fuzzy logic in two categories of sets with similarity relations are introduced. Interpretations of formulas in these models are defined and some relations between different interpretations are investigated. Keywords—Many-Valued and Fuzzy Logics.