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Fuzzy Homomorphisms of Algebras by Jelena Ignjatović; Miroslav Ćirić; Stojan Bogdanović is a Computer Science article available to read on EtoBox.

What is Fuzzy Homomorphisms of Algebras about?

In this paper we consider fuzzy relations compatible with algebraic operations, which are called fuzzy relational morphisms. In particular, we aim our attention to those fuzzy relational morphisms which are uniform fuzzy relations, called uniform fuzzy relational morphisms, and those which are partially uniform F-functions, called fuzzy homomorphisms. Both uniform fuzzy relations and partially uniform F-functions were introduced in a recent paper by us. Uniform fuzzy relational morphisms are especially interesting because they can be conceived as fuzzy congruences which relate elements of two possibly different algebras. We give various characterizations and constructions of uniform fuzzy relational morphisms and fuzzy homomorphisms, we establish certain relationships between them and fuzzy congruences, and we prove homomorphism and isomorphism theorems concerning them. We also point to some applications of uniform fuzzy relational morphisms.

Who reads Fuzzy Homomorphisms of Algebras?

Author

Jelena Ignjatović; Miroslav Ćirić; Stojan Bogdanović

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0165-0114)

Published

2009

Language

EN

Field

Computer Science (Physical Sciences)