Journal ArticleDOI
Applications of soft sets in ideal theory of BCK/BCI-algebras
Young Bae Jun,Chul Hwan Park +1 more
TLDR
The intersection, union, ''AND'' operation, and ''OR'' operation of soft ideals and idealistic soft BCK/BCI-algebras are established.About:
This article is published in Information Sciences.The article was published on 2008-06-01. It has received 387 citations till now. The article focuses on the topics: Intersection & Soft set.read more
Citations
More filters
Journal ArticleDOI
On soft topological spaces
Muhammad Shabir,Munazza Naz +1 more
TL;DR: It is shown that a soft topological space gives a parametrized family of topological spaces and it is established that the converse does not hold.
Journal ArticleDOI
Soft set theory and uni–int decision making
Naim Çağman,Serdar Enginoğlu +1 more
TL;DR: An uni-int decision making method which selects a set of optimum elements from the alternatives is constructed which shows that the method can be successfully applied to many problems that contain uncertainties.
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.
Journal ArticleDOI
Soft sets and soft rough sets
TL;DR: It is shown that Pawlak's rough set model can be viewed as a special case of the soft rough sets, and these two notions will coincide provided that the underlying soft set in the soft approximation space is a partition soft set.
References
More filters
Book
Fuzzy sets
TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
Journal ArticleDOI
Soft set theory—First results
TL;DR: The main purpose of this paper is to introduce the basic notions of the theory of soft sets, to present the first results of the the theory, and to discuss some problems of the future.
Journal ArticleDOI
Soft set theory
TL;DR: The authors define equality of two soft sets, subset and super set of a soft set, complement of asoft set, null soft set and absolute soft set with examples and De Morgan's laws and a number of results are verified in soft set theory.
Journal ArticleDOI
Rudiments of rough sets
Zdziasław Pawlak,Andrzej Skowron +1 more
TL;DR: The basic concepts of rough set theory are presented and some rough set-based research directions and applications are pointed out, indicating that the rough set approach is fundamentally important in artificial intelligence and cognitive sciences.
Journal ArticleDOI
An application of soft sets in a decision making problem
TL;DR: In this article, the theory of soft sets was applied to solve a decision-making problem using rough mathematics, and the results showed that soft sets can be used to solve decision making problems.