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Entropy Measures on Neutrosophic Soft Sets and Its Application in Multi Attribute Decision Making

Authors: I. Arockiarani


The focus of the paper is to furnish the entropy measure for a neutrosophic set and neutrosophic soft set which is a measure of uncertainty and it permeates discourse and system. Various characterization of entropy measures are derived. Further we exemplify this concept by applying entropy in various real time decision making problems.

Keywords: Entropy measure, Hausdorff distance, neutrosophic set, soft set.

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[1] I. Arockiarani, I. R.Sumathi and J. Martina Jency., Fuzzy Neutrosophic Soft Topological Spaces., International journal of mathematical archives, 4(10)(2013),225-238.
[2] K. T. Atanassov, Intuitionistic fuzzy sets, Proc. Of Polish Symp, On Interval and Fuzzy mathematics, Poznan,(1983),23-26.
[3] G. Huang, A new fuzzy entropy for intuitionistic fuzzy sets, In: Fuzzy systems and knowledge discovery, Fourth International Conference on Digital Object Identifier, 1(2007), 57-61.
[4] W. L. Hung and M. S. Yang, Similarity measures of intuitionistic fuzzy sets based on Hausdorff distance, Pattern Recognition Letters, 25(2004), 1603-1611.
[5] P. Majumdar and S. K. Samanta, On similarity and entropy of neutrosophic sets, J. Intell. Fuzzy Systems, 26(2014), 1245-1252.
[6] F. Smarandache, A Unifying Field in Logics, Neutrosophy: Neutrosophic Probability, Set and Logic, American Research Press, (2005).
[7] F. Smarandache, Neutrosophy and Neutrosophic Logic, First International Conference On Neutrosophy, Neutrosophic Logic, Set, Probability and Statistics University of New Mexico, Gallup, NM 87301,USA(2002)
[8] E. Szmidt and J. Kacprzy, Entropy of intuitionistic fuzzy sets, Fuzzy Sets and Systems, 118(2001), 467-477.
[9] C. Wang, A. Qu, Entropy, similarity measure and distance measure of vague soft sets and their relations, Information Sciences 244(2013)92- 106.
[10] L. A. Zadeh, Fuzzy Sets, Inform. and Control, 8(1965), 338 - 353.