Fuzzy homomorphism and algebraic structures
type: Item
instance of: scholarly article
title: Fuzzy homomorphism and algebraic structures
zbMATH Open document ID: 0796.20068
DOI: 10.1016/0165-0114(93)90201-R
author: A. B. Chakraborty
author: Shabd Sharan Khare
published in: Fuzzy Sets and Systems
publication date: 1994-09-18T00:00:00Z
review text: The authors prove analogues of homomorphism theorems for fuzzy homomorphisms. Their definition of a fuzzy function is as follows: A fuzzy function \(f: X\to Y\), where \(X\) and \(Y\) are two sets, is an ordinary function from \(X\) into \(p(Y)\), where \(p(Y)\) is the set of all fuzzy subsets of \(Y\). The authors study the composition of fuzzy homomorphisms, a concept which usually introduces some complications into the fuzzification of fuzzy functions. The authors also study the generation of a fuzzy subgroup by a fuzzy subset where product replaces minimum.
reviewed by: John N. Mordeson
Mathematics Subject Classification ID: 20N25
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 516636
zbMATH Keywords: homomorphism theorems
zbMATH Keywords: fuzzy homomorphisms
zbMATH Keywords: fuzzy function
zbMATH Keywords: fuzzy subsets
zbMATH Keywords: fuzzy subgroup
MaRDI profile type: Publication
cites work: On fuzzy multi-value functions. I: Introduction and general properties
cites work: Fuzzy groups redefined
cites work: Fixed points for fuzzy mappings
cites work: A note on fuzzy subgroups and fuzzy homomorphism
cites work: Towards fuzzy differential calculus. I: Integration of fuzzy mappings
cites work: Fuzzy groups
cites work: Fuzzy sets
full work available at URL: 0165-0114(93)90201-r
OpenAlex ID: W1995370770
Recommended article: Fuzzy homomorphisms of algebras
Recommended article: FUZZY ALGEBRA HOMOMORPHISMS AND FUZZY DERIVATIONS
Recommended article: Fuzzy homomorphisms
Recommended article: Q3591716
Recommended article: Q4458990
Recommended article: Q4888037
Recommended article: Q4916717
Recommended article: Fuzzy hyperalgebras
Recommended article: Q4036207
Recommended article: Fuzzy homomorphism and fuzzy isomorphism
description: scientific article; zbMATH DE number 516636