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Open AccessJournal ArticleDOI

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.

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Citations
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Journal ArticleDOI

Decision making algorithmic techniques based on aggregation operations and similarity measures of possibility intuitionistic fuzzy hypersoft sets

TL;DR: In this article , the possibility intuitionistic fuzzy hypersoft set (PIFS) structure is proposed to generalize the existing structure and to make it adequate for multi-argument approximate function.
Book ChapterDOI

Improved Bijective-Soft-Set-Based Classification for Gene Expression Data

TL;DR: A prediction model is proposed for the classification of cancer based on gene expression profiles and it is compared with fuzzy-soft-set-based classification algorithms, fuzzy KNN, and k-nearest neighbor approach to show good accuracy over other methods.
Journal ArticleDOI

A novel approach to soft set theory in decision-making under uncertainty

TL;DR: In this study, the concepts of relational membership function and inverse relational membershipfunction were defined and some related properties were studied and some new technical formulations have been given and algorithms for decision-making under uncertainty are proposed.
Journal Article

Neutrosophic Vague Line Graphs

TL;DR: The necessary and sufficient condition for a line graph to be neutrosophic vague line graph is provided, and homomorphism, weak vertex and weak line isomorphism are discussed.
Journal ArticleDOI

α-inclusions applied to group theory via soft set and logic

TL;DR: In this article, the upper and lower α-inclusions of a soft set are defined and some analyzes with respect to group theory are made and it is shown that some of the subgroups of a group can be obtained easily with the help of these notions.
References
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