Journal ArticleDOI
Soft Direct Sum of Soft Int-Rings and Soft Principal Int-Ideal
TLDR
It is shown that the concepts of soft elementwise ring and soft int-ring of a ring are equivalent and the notions of minimal generating set for a soft int -ideal and soft principal int-ideal are presented.Abstract:
In this paper, the notion of soft elementwise ring is introduced and it is shown that the concepts of soft elementwise ring and soft int-ring of a ring are equivalent. The concept of soft direct su...read more
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Journal ArticleDOI
Soft Int-Field Extension
TL;DR: The relation between soft element-wise field and soft int-field has been established and then some properties of softint-field are studied and the notions of soft algebraic element and soft purely inseparable element of a soft Int-field extension are defined.
References
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Journal ArticleDOI
Soft sets combined with fuzzy sets and rough sets: a tentative approach
TL;DR: A possible fusion of fuzzy sets and rough sets is proposed to obtain a hybrid model called rough soft sets, based on a Pawlak approximation space, and a concept called soft–rough fuzzy sets is initiated, which extends Dubois and Prade's rough fuzzy sets.
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 sets and soft rings
TL;DR: Initial concepts of soft rings are introduced and some operations on soft sets are defined in this paper.
Journal ArticleDOI
Introduction to fuzzy soft groups
Abdülkadir Aygünolu,Halis Aygün +1 more
TL;DR: In this paper, the concept of fuzzy soft group is introduced and in the meantime, some of their properties and structural characteristics are discussed and studied, including fuzzy soft function and fuzzy soft homomorphism.
Journal ArticleDOI
Soft substructures of rings, fields and modules
Akın Osman Atagün,Aslıhan Sezgin +1 more
TL;DR: This paper introduces and study soft subrings and soft ideals of a ring by using Molodtsov's definition of the soft sets, and introduces soft subfields of a field and soft submodule of a left R-module.