Preprint Article Version 1 This version is not peer-reviewed

NS-Cross Entropy Based MAGDM under Single Valued Neutrosophic Set Environment

Version 1 : Received: 29 December 2017 / Approved: 2 January 2018 / Online: 2 January 2018 (09:11:21 CET)

How to cite: Pramanik, S.; Dalapati, S..; Alam, S..; Smarandache, F..; Roy, T.K.. NS-Cross Entropy Based MAGDM under Single Valued Neutrosophic Set Environment. Preprints 2018, 2018010006 (doi: 10.20944/preprints201801.0006.v1). Pramanik, S.; Dalapati, S..; Alam, S..; Smarandache, F..; Roy, T.K.. NS-Cross Entropy Based MAGDM under Single Valued Neutrosophic Set Environment. Preprints 2018, 2018010006 (doi: 10.20944/preprints201801.0006.v1).

Abstract

Single valued neutrosophic set has king power to express uncertainty characterized by indeterminacy, inconsistency and incompleteness. Most of the existing single valued neutrosophic cross entropy bears an asymmetrical behavior and produce an undefined phenomenon in some situations. In order to deal with these disadvantages, we propose a new cross entropy measure under single valued neutrosophic set (SVNS) environment namely SN- cross entropy and prove its basic properties. Also we define weighted SN-cross entropy measure and investigate its basic properties. We develop a new multi attribute group decision making (MAGDM) strategy for ranking of the alternatives based on the proposed weighted SN-cross entropy measure between each alternative and the ideal alternative. Finally, a numerical example of MAGDM problem of investment potential is solved to show the validity and efficiency of proposed decision making strategy. We also present comparative anslysis of the obtained result with the results obtained form the existing solution strategies in the solution.

Subject Areas

neutrosophic set; single valued neutrosophic set; SN-cross entropy function; multi-attribute group decision making

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