Journal ArticleDOI
Fuzzy relations and fuzzy groups
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TLDR
It is proved that if σ is a fuzzy subset of S and μσ is the strongest fuzzy relation on S that is a fuzzier relation on σ, then μσ are a fuzzy subgroup if and only if �x is a furry subgroup.About:
This article is published in Information Sciences.The article was published on 1985-09-01. It has received 70 citations till now. The article focuses on the topics: Fuzzy number & Fuzzy subalgebra.read more
Citations
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Journal ArticleDOI
Some remarks on fuzzy graphs
TL;DR: It is shown that a fuzzy group can be associated with a fuzzy graph in a natural way and some properties of fuzzy graphs are considered and the notions of eccentricity and center are introduced.
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On fuzzy h -ideals in hemirings
TL;DR: The fuzzy setting of a left h-ideal in a hemiring is constructed, and basic properties are investigated.
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Fuzzy Groups: some group-theoretic analogs
TL;DR: Results involving the concepts of order of a fuzzy subgroup of a finite group, a fuzzy Abelian group, and a fuzzy solvable group are obtained, and analogs of two basic theorems of group theory are proved.
Journal ArticleDOI
Correspondence theorem for fuzzy ideals
H. V. Kumbhojkar,M. S. Bapat +1 more
TL;DR: A one-to-one order preserving correspondence is established between the fuzzy ideals of R ′ and those of R which are constant on the kernel of f which generalizes the correspondence theorem of (non-fuzzy) ideals.
Journal ArticleDOI
Fuzzy congruences and fuzzy normal subgroups
TL;DR: The concept of fuzzy congruences on a groupoid and a group is introduced, and fuzzy Congruences On a group in terms of fuzzy normal subgroups are characterized.
References
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Book
Fuzzy Sets and Systems: Theory and Applications
Didier Dubois,Henri Prade +1 more
TL;DR: This book effectively constitutes a detailed annotated bibliography in quasitextbook style of the some thousand contributions deemed by Messrs. Dubois and Prade to belong to the area of fuzzy set theory and its applications or interactions in a wide spectrum of scientific disciplines.
Journal ArticleDOI
Similarity relations and fuzzy orderings
TL;DR: An extended version of Szpilrajn's theorem is proved and various properties of similarity relations and fuzzy orderings are investigated and, as an illustration, a fuzzy preordering is investigated which is reflexive and antisymmetric.
Journal ArticleDOI
L-fuzzy sets
TL;DR: This paper explores the foundations of, generalizes, and continues the work of Zadeh in [I] and [2].
Book
Applications of Fuzzy Sets to Systems Analysis
TL;DR: One of the objects of this book was to facilitate communication by bringing toge- ther different viewpoints and coloring them from a common viewpoint.