Pramanik, S.; Dalapati, S.; Alam, S.; Smarandache, F.; Roy, T.K. NC-Cross Entropy Based MADM under Neutrosophic Cubic Set Environment. Preprints2018, 2018030230. https://doi.org/10.20944/preprints201803.0230.v1
APA Style
Pramanik, S., Dalapati, S., Alam, S., Smarandache, F., & Roy, T.K. (2018). NC-Cross Entropy Based MADM under Neutrosophic Cubic Set Environment. Preprints. https://doi.org/10.20944/preprints201803.0230.v1
Chicago/Turabian Style
Pramanik, S., Florentin Smarandache and Tapan Kumar Roy. 2018 "NC-Cross Entropy Based MADM under Neutrosophic Cubic Set Environment" Preprints. https://doi.org/10.20944/preprints201803.0230.v1
Abstract
Neutrosophic cubic set (NCS) is one of the important family members of neutrosophic hybrid sets. Neutrosophic cubic set has more strength than other family members of neutrosophic hybrid sets to express incomplete information due to the presence of interval valued neutrosophic set (IVNS) and single valued neutrosophic set (SVNS) in its structure. Cross entropy measure is one of the best way to calculate the divergence of any variable from the priori one variable. In this paper we first define a new cross entropy measure under NCSs environment which we call NC- cross entropy measure. We investigate the basic properties of NC-cross entropy. We also propose weighted NC-cross entropy and investigate its basic properties. We develop a novel multi attribute decision making (MADM) strategy based on weighted NC-cross entropy. To show the feasibility and applicability, we solve a MADM problem using the proposed strategy.
Keywords
single valued neutrosophic set; interval neutrosophic set; neutrosophic cubic set; multi attribute decision making; NC-cross entropy
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
