Add to ORKGThis paper provides an algebraic characterization of mathematical structures formed by cartesian products of fuzzy relations with sup-min composition. A simple proof of a representation theorem for Boolean relation algebras satisfying Tarski rule and point axiom was given by Schmidt and Strohlein, and cartesian products of Boolean relation algebras were investigated by Jonsson and Tarski. Unlike Boolean relation algebras, fuzzy relation algebras are not Boolean but equipped with semiscalar multiplication. First we present a set of axioms for fuzzy relation algebras and add axioms for cartesian products of fuzzy relation algebras. Second we improve the definition of point relations. Then a representation theorem for such relation algebras is...
This thesis constitutes an introduction to the study of relation algebras with a special emphasis on...
Fuzzy relations are able to model vagueness, in the sense that they provide the degree to which two ...
AbstractThis paper deals with the connections existing between fuzzy set theory and fuzzy relational...
This paper provides a notion of Zadeh categories as a categorical structure formed by fuzzy relation...
This paper, deals with fundamental notions in pure and applied sciences, i.e., basic operations rela...
Abstract-We continue our previous paper and explore an extension of compositions of fuzzy relations....
This paper investigates the algebraic properties of fuzzy sets under the new operations “drastic pro...
Fuzzy relations are mappings from pairs of elements into the interval [0,1]. As a replacement for th...
This work concerns algebraic models of fuzzy and many-valued propositional logics, in particular Boo...
summary:Properties of $\sup \nolimits $-$\ast $ compositions of fuzzy relations were first examined ...
AbstractThe problem of solving fuzzy relation equations (I) based on Boolean-type implications is st...
Relation algebras are algebras arising from the study of binary relations.They form a part of the fi...
In this paper, we have developed an algebraic theory, suitable for the analysis of fuzzy systems. We...
Recently, we have introduced six types of composition of ternary fuzzy relations. These compositions...
Abstract. Our aim in this Paper is to establish Galois connections between various types of fuzzy bi...
This thesis constitutes an introduction to the study of relation algebras with a special emphasis on...
Fuzzy relations are able to model vagueness, in the sense that they provide the degree to which two ...
AbstractThis paper deals with the connections existing between fuzzy set theory and fuzzy relational...
This paper provides a notion of Zadeh categories as a categorical structure formed by fuzzy relation...
This paper, deals with fundamental notions in pure and applied sciences, i.e., basic operations rela...
Abstract-We continue our previous paper and explore an extension of compositions of fuzzy relations....
This paper investigates the algebraic properties of fuzzy sets under the new operations “drastic pro...
Fuzzy relations are mappings from pairs of elements into the interval [0,1]. As a replacement for th...
This work concerns algebraic models of fuzzy and many-valued propositional logics, in particular Boo...
summary:Properties of $\sup \nolimits $-$\ast $ compositions of fuzzy relations were first examined ...
AbstractThe problem of solving fuzzy relation equations (I) based on Boolean-type implications is st...
Relation algebras are algebras arising from the study of binary relations.They form a part of the fi...
In this paper, we have developed an algebraic theory, suitable for the analysis of fuzzy systems. We...
Recently, we have introduced six types of composition of ternary fuzzy relations. These compositions...
Abstract. Our aim in this Paper is to establish Galois connections between various types of fuzzy bi...
This thesis constitutes an introduction to the study of relation algebras with a special emphasis on...
Fuzzy relations are able to model vagueness, in the sense that they provide the degree to which two ...
AbstractThis paper deals with the connections existing between fuzzy set theory and fuzzy relational...