Journal ArticleDOI
On fuzzy h -ideals in hemirings
TLDR
The fuzzy setting of a left h-ideal in a hemiring is constructed, and basic properties are investigated.About:
This article is published in Information Sciences.The article was published on 2004-06-04. It has received 111 citations till now. The article focuses on the topics: Fuzzy subalgebra & Fuzzy mathematics.read more
Citations
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Journal ArticleDOI
Soft semirings
TL;DR: This paper initiates the study of soft semirings by using the soft set theory, and the notions of soft Semirings, soft subsemirings,soft ideals, idealistic softSemirings and soft semiring homomorphisms are introduced, and several related properties are investigated.
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Soft BCK/BCI-algebras
TL;DR: This paper applies the notion of soft sets by Molodtsov to the theory of BCK/BCI-algebras and soft subalgeBRas, and their basic properties are derived.
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A novel soft rough set
TL;DR: The concept of soft rough hemirings is introduced, which is an extended notion of a rough hemiring, which provides a new research idea for soft rough algebraic research.
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Soft p-ideals of soft BCI-algebras
TL;DR: This paper gives characterizations of (fuzzy) p-ideals in BCI-algebras, and provides relations between fuzzy p-Ideals and p-IDEalistic soft BCK/BCI- algebrs.
Journal ArticleDOI
Soft set theory applied to ideals in d-algebras
TL;DR: The notions of (transitive) soft d-algebras, soft edge d- algebrs, soft d^*-algeses,soft d-ideals, hard d^@?-idealistic, or d*-ideAListic, and d-Idealistic (d^@?, d**), or d+ideals (d**)-ideals are introduced and their related properties are surveyed.
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.
Journal ArticleDOI
Fuzzy relations and fuzzy groups
TL;DR: 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.
Journal ArticleDOI
Fuzzy k -ideals of semirings
TL;DR: The aim of this paper is to characterize prime fuzzy k-ideals, semiregular semirings, NoetherianSemirings and Artinian Semirings by fuzzy k -ideals.