Soft set theory—First results
TLDR
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.Abstract:
The soft set theory offers a general mathematical tool for dealing with uncertain, fuzzy, not clearly defined objects. 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 theory, and to discuss some problems of the future.read more
Citations
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Journal ArticleDOI
Another View of Aggregation Operators on Group-Based Generalized Intuitionistic Fuzzy Soft Sets: Multi-Attribute Decision Making Methods
TL;DR: The existing definition of the group-based generalized intuitionistic fuzzy soft set is clarified and redefined by merging intuitionistic soft soft set over the set of alternatives and a group of intuitionism fuzzy sets on parameters to provide comparison and advantages of the proposed method.
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Vague soft set relations and functions
TL;DR: The concepts of vague soft set relations are introduced as a sub-vague soft set of the Cartesian product of the vague soft sets and related concepts such as equivalent vaguesoft set relation, partition, composition and function along with some properties and illustrative examples.
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Transitive closures and orderings on soft sets
K. V. Babitha,Jacob John Sunil +1 more
TL;DR: An analogue of Warshall's algorithm is proposed for calculating the transitive closure of a soft set relation and some set theoretical results based on this are proved.
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On Soft Separation Axioms and Their Applications on Decision-Making Problem
TL;DR: This study represents the first investigation of real applications of soft separation axioms and proves that pt-soft αTi-spaces are additive and topological properties and are preserved under finite product of soft spaces.
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Disjunctive Representation of Triangular Bipolar Neutrosophic Numbers, De-Bipolarization Technique and Application in Multi-Criteria Decision-Making Problems
Avishek Chakraborty,Sankar Prasad Mondal,Shariful Alam,Ali Ahmadian,Norazak Senu,Debashis De,Soheil Salahshour +6 more
TL;DR: B bipolar concept is generated in this paper where the membership contains both positive and negative parts within the range −1 to 0 and 0 to 1, and a multi-criteria decision-making problem (MCDM) for different users in the bipolar neutrosophic domain is taken into account.
References
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