Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Hybrid Logarithm Similarity Measure Based MAGDM Strategy under SVNS Environment

Version 1 : Received: 26 March 2018 / Approved: 28 March 2018 / Online: 28 March 2018 (04:37:53 CEST)

How to cite: Mondal, K.; Pramanik, S.; Giri, B.C.; Smarandache, F.; Ye, J. Hybrid Logarithm Similarity Measure Based MAGDM Strategy under SVNS Environment. Preprints 2018, 2018030231 (doi: 10.20944/preprints201803.0231.v1). Mondal, K.; Pramanik, S.; Giri, B.C.; Smarandache, F.; Ye, J. Hybrid Logarithm Similarity Measure Based MAGDM Strategy under SVNS Environment. Preprints 2018, 2018030231 (doi: 10.20944/preprints201803.0231.v1).

Abstract

The objective of the paper is to introduce new similarity measure for single valued neutrosophic sets based on logarithm function. We define logarithm similarity measure and their weighted similarity measure for single valued neutrosophic sets. Then we define hybrid logarithm similarity measure and weighted hybrid logarithm similarity measure for single valued neutrosophic sets. We prove the basic properties of the proposed measures. We then define an entropy function using logarithm function to determine unknown attribute weights. We develop a novel multi attribute group decision making strategy for single valued neutrosophic sets based on the weighted hybrid logarithm similarity measure. We address an illustrative example to demonstrate the effectiveness and aptness of the proposed strategies. We conduct a sensitivity analysis of the developed strategy. We also make a comparison between the obtained results from proposed strategies and different existing strategies in the literature.

Subject Areas

single valued neutrosophic set; logarithm similarity measure; logarithm entropy function; ideal solution; multi attribute group decision making

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