Title: Neoteric divergence measure for refined interval-valued neutrosophic sets and its application in decision making

Authors: Adeeba Umar; Ram Naresh Saraswat

Addresses: Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur-303007, Rajasthan, India ' Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur-303007, Rajasthan, India

Abstract: Smarandache originally initiated the theory of neutrosophic sets, which combined non-standard analysis and a tri-component set to handle indeterminate and inconsistent information. To deal with vagueness and uncertainty, the three functions which are truth membership function, indeterminacy membership function and falsity membership function play an important role and the sum of these three membership functions is less than three. This theory is used to depict information more appropriately. The prime aim of this paper is to introduce a novel divergence measure for refined interval-valued neutrosophic sets with the proof of its validity. Some other properties of the proposed divergence measure are given with their proofs. An application of novel divergence measure is shown with illustration for decision making in construction project selection in order to exhibit the legitimacy of the proposed method. The obtained results using the proposed model are compared with the results of existing methods and it was observed that proposed method gives better results for decision-making problems.

Keywords: divergence measure; neutrosophic sets; refined interval-valued neutrosophic sets; decision making.

DOI: 10.1504/IJMOR.2021.118745

International Journal of Mathematics in Operational Research, 2021 Vol.20 No.2, pp.182 - 206

Received: 12 Apr 2020
Accepted: 05 Jul 2020
Published online: 04 Nov 2021 *

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