Journal ArticleDOI
Generalized fuzzy groups and many-valued implications
TLDR
The definition of a fuzzy subgroups with thresholds is given, which is a generalization of Rosenfeld's fuzzy subgroup and Bhakat and Das's fuzzy group and discusses relations between two fuzzy sub groups.About:
This article is published in Fuzzy Sets and Systems.The article was published on 2003-08-16. It has received 169 citations till now. The article focuses on the topics: Fuzzy classification & Fuzzy subalgebra.read more
Citations
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Journal ArticleDOI
(ε, ε ν q)-fuzzy subnear-rings and ideals
TL;DR: The aim in this paper is to introduce and study the new sort of fuzzy subnear-ring of a near-ring called (∈, ∈ ∨q)-fuzzy sub Near-ring (ideal and prime ideal) which is characterized by their level ideals.
Journal ArticleDOI
Generalized fuzzy interior ideals in semigroups
Young Bae Jun,Seok Zun Song +1 more
TL;DR: Using the idea of quasi-coincidence of a fuzzy point with a fuzzy set, the concept of an (@a,@b)-fuzzy interior ideal is introduced, which is a generalization of a warm interior ideal, in a semigroup, and related properties are investigated.
Journal ArticleDOI
Generalized fuzzy bi-ideals of semigroups
Osman Kazanci,S. Yamak +1 more
TL;DR: Using the relations between fuzzy points and fuzzy sets, the concept of a fuzzy bi-ideal with thresholds is introduced and some interesting properties are investigated.
Journal ArticleDOI
A new view of fuzzy hypernear-rings
TL;DR: This survey article introduces the concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set, and considers the interval valued (@?,@?@?q)-fuzzy sub-hypernear-rings (hyperideals) of a hypernear-ring, and hence, a generalization of a fuzzier sub-near- ring (ideal) is given.
Journal ArticleDOI
(α, β)-Fuzzy Interior Ideals in Ordered Semigroups
Asghar Khan,Muhammad Shabir +1 more
TL;DR: The concept of (α, β)-fuzzy interior ideal in ordered semigroups is introduced, which is a generalization of a fuzzy interior idealin ordered semigroup.
References
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Book
Fuzzy sets
TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
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
∈,∈∨q -fuzzy subgroup
S. K. Bhakat,P. Das +1 more
TL;DR: The definition of an (ϵ, ϵ v q)-fuzzy subgroup is slightly modified and some of the fundamental properties of such fuzzy subgroups are obtained.