Preprint Article Version 1 This version is not peer-reviewed

MADM Strategy Based on Some Similarity Measures in Interval Bipolar neuTrosophic Set Environment

Version 1 : Received: 31 March 2018 / Approved: 2 April 2018 / Online: 2 April 2018 (08:47:02 CEST)

How to cite: Pramanik, S.; Dey, P.P.; Smarandache, F. MADM Strategy Based on Some Similarity Measures in Interval Bipolar neuTrosophic Set Environment. Preprints 2018, 2018040012 (doi: 10.20944/preprints201804.0012.v1). Pramanik, S.; Dey, P.P.; Smarandache, F. MADM Strategy Based on Some Similarity Measures in Interval Bipolar neuTrosophic Set Environment. Preprints 2018, 2018040012 (doi: 10.20944/preprints201804.0012.v1).

Abstract

The paper investigates some similarity measures in interval bipolar neutrosophic environment for multi-attribute decision making problems. At first, we define Hamming and Euclidean distances measures between interval bipolar neutrosophic sets and establish their basic properties. We also propose two similarity measures based on the Hamming and Euclidean distance functions. Using maximum and minimum operators, we define new similarity measures and prove their basic properties. Using the proposed similarity measures, we propose a novel multi attribute decision making strategy in interval bipolar neutrosophic set environment. Lastly, we solve an illustrative example of multi attribute decision making and present comparison analysis to show the feasibility, applicability and effectiveness of the proposed strategy.

Subject Areas

neutrosophic set; interval bipolar neutrosophic set; multi-attribute decision making; distance measures; similarity measures

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