2023
DOI: 10.1155/2023/5467353
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Applications on Bipolar Vague Soft Sets

Abstract: The purpose of this research is to interpolate bipolarity into the definition of the vague soft set. This gives a new more applicable, flexible, and generalized extension of the soft set, the fuzzy soft set, or even the vague soft set, which is the bipolar vague soft set. In addition, types of bipolar vague soft sets, as well as some new related concepts and operations are established with examples. Moreover, properties of bipolar vague soft sets including absorption, commutative, associative, distributive, an… Show more

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Cited by 6 publications
(1 citation statement)
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“…Furthermore, Yang et al [27] offered various decision-making applications based on their concept of the bipolar-valued multi-fuzzy soft set. In addition, Sakr et al ([28,29]) have introduced the bipolar-valued vague soft sets, the bipolar-valued multi-vague soft sets and their applications. The vague set is a generalization for a fuzzy set, in which any membership value is an interval subset from [0, 1], not only a specific single membership value lying within the range of 0 to 1 as known in fuzzy sets.…”
Section: Introductionmentioning
confidence: 99%
“…Furthermore, Yang et al [27] offered various decision-making applications based on their concept of the bipolar-valued multi-fuzzy soft set. In addition, Sakr et al ([28,29]) have introduced the bipolar-valued vague soft sets, the bipolar-valued multi-vague soft sets and their applications. The vague set is a generalization for a fuzzy set, in which any membership value is an interval subset from [0, 1], not only a specific single membership value lying within the range of 0 to 1 as known in fuzzy sets.…”
Section: Introductionmentioning
confidence: 99%