Cosine Similarity Measure of Interval Valued Bipolar Neutrosophic Hesitant Fuzzy Set and Their Applications to Multi-Attribute Decision-Making Process

Hans Eric Ramaroson, René Rakotomanana and Hery Zo Andriamanohisoa
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Hans Eric Ramaroson: University of Antananarivo, Madagascar
René Rakotomanana: University of Antananarivo, Madagascar
Hery Zo Andriamanohisoa: University of Antananarivo, Madagascar

European Journal of Mathematics and Statistics, 2021, vol. 2, issue 5, 9-16

Abstract: Cosine similarity measure plays a significant role in various fields. Literature consultation confirms that the theory of cosine similarity measure has received a great interest and attention from the researchers in the world. The concept of Interval Valued Bipolar Neutrosophic Hesitant Fuzzy Sets (IVBNHFS) is recently presented and very interesting. Every element in IVBNHFS is characterized by six independent membership functions (three positive and three negative). There is no investigation on the Cosine Similarity Measure (CSM) of IVBNHFS. In this study, we firstly define a CSM and a weighted CSM between two IVBNHFS and their applications to Multi-Attribute Decision Making (MADM) process in the Interval Valued Bipolar Neutrosophic Hesitant Fuzzy (IVBNHF) setting. And, we establish some properties of CSM and a weighted CSM. We use this strategy to find out the best alternative in MADM case. Then, the new approach to clarify MADM problems in IVBNHF setting is presented in algorithmic form. And, we solve an illustrative case of MADM to demonstrate the effectiveness, workability, and appropriateness of the proposed approach. Finally, the main conclusion and future opportunity of research paper are overviewed and compiled.

Keywords: Cosine Similarity Measure (CSM); weighted CSM; Interval Valued Bipolar Neutrosophic Hesitant Fuzzy Set (IVBNHFS); Similarity measure; Multi-Attribute Decision-Making (MADM) (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:2:y:2021:i:5:id:14064

DOI: 10.24018/ejmath.2021.2.5.64

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