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

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.

Authors:

• I. Arockiarani

Keywords:

• Entropy measure
• Hausdorff distance
• neutrosophic set
• soft set.

References:

[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.