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Axioms 2018, 7(2), 33; https://doi.org/10.3390/axioms7020033

Decision-Making with Bipolar Neutrosophic TOPSIS and Bipolar Neutrosophic ELECTRE-I

1
Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan
2
Mathematics and Science Department, University of New Mexico, Gallup, NM 87301, USA
*
Author to whom correspondence should be addressed.
Received: 12 April 2018 / Revised: 9 May 2018 / Accepted: 11 May 2018 / Published: 15 May 2018
(This article belongs to the Special Issue Neutrosophic Multi-Criteria Decision Making)
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Abstract

Technique for the order of preference by similarity to ideal solution (TOPSIS) and elimination and choice translating reality (ELECTRE) are widely used methods to solve multi-criteria decision making problems. In this research article, we present bipolar neutrosophic TOPSIS method and bipolar neutrosophic ELECTRE-I method to solve such problems. We use the revised closeness degree to rank the alternatives in our bipolar neutrosophic TOPSIS method. We describe bipolar neutrosophic TOPSIS method and bipolar neutrosophic ELECTRE-I method by flow charts. We solve numerical examples by proposed methods. We also give a comparison of these methods. View Full-Text
Keywords: neutrosophic sets; bipolar neutrosophic TOPSIS; bipolar neutrosophic ELECTRE-I; normalized Euclidean distance neutrosophic sets; bipolar neutrosophic TOPSIS; bipolar neutrosophic ELECTRE-I; normalized Euclidean distance
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Akram, M.; Shumaiza; Smarandache, F. Decision-Making with Bipolar Neutrosophic TOPSIS and Bipolar Neutrosophic ELECTRE-I. Axioms 2018, 7, 33.

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