Soft BCK/BCI-algebras
TLDR
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.Abstract:
Molodtsov [D. Molodtsov, Soft set theory - First results, Comput. Math. Appl. 37 (1999) 19-31] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. In this paper we apply the notion of soft sets by Molodtsov to the theory of BCK/BCI-algebras. The notion of soft BCK/BCI-algebras and soft subalgebras are introduced, and their basic properties are derived.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
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.
Journal ArticleDOI
The parameterization reduction of soft sets and its applications
TL;DR: This paper proposes a reasonable definition of parameterization reduction of soft sets and compares it with the concept of attributes reduction in rough sets theory and improves the application of a soft set in a decision making problem found in [1].