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Open AccessArticle

Similarity Measures of Quadripartitioned Single Valued Bipolar Neutrosophic Sets and Its Application in Multi-Criteria Decision Making Problems

1
Department of Mathematics, National Institute of Technology Durgapur, Durgapur 713209, India
2
Division of Applied Mathematics, Wonkwang University, 460, Iksan-daero, Iksan-Si, Jeonbuk 54538, Korea
3
Department of Mathematics, Visva Bharati, Santiniketan 731235, India
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(6), 1012; https://doi.org/10.3390/sym12061012
Received: 9 May 2020 / Revised: 9 June 2020 / Accepted: 11 June 2020 / Published: 16 June 2020
(This article belongs to the Special Issue Symmetric and Asymmetric Data in Solution Models)
In this paper, a definition of quadripartitioned single valued bipolar neutrosophic set (QSVBNS) is introduced as a generalization of both quadripartitioned single valued neutrosophic sets (QSVNS) and bipolar neutrosophic sets (BNS). There is an inherent symmetry in the definition of QSVBNS. Some operations on them are defined and a set theoretic study is accomplished. Various similarity measures and distance measures are defined on QSVBNS. An algorithm relating to multi-criteria decision making problem is presented based on quadripartitioned bipolar weighted similarity measure. Finally, an example is shown to verify the flexibility of the given method and the advantage of considering QSVBNS in place of fuzzy sets and bipolar fuzzy sets. View Full-Text
Keywords: neutrosophic sets; quadripartitioned bipolar neutrosophic sets; similarity measure; decision making neutrosophic sets; quadripartitioned bipolar neutrosophic sets; similarity measure; decision making
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Roy, S.; Lee, J.-G.; Pal, A.; Samanta, S.K. Similarity Measures of Quadripartitioned Single Valued Bipolar Neutrosophic Sets and Its Application in Multi-Criteria Decision Making Problems. Symmetry 2020, 12, 1012.

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