NS-Cross Entropy-Based MAGDM under Single-Valued Neutrosophic Set Environment
AbstractA 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 produces an undefined phenomenon in some situations. In order to deal with these disadvantages, we propose a new cross entropy measure under a single-valued neutrosophic set (SVNS) environment, namely NS-cross entropy, and prove its basic properties. Also we define weighted NS-cross entropy measure and investigate its basic properties. We develop a novel multi-attribute group decision-making (MAGDM) strategy that is free from the drawback of asymmetrical behavior and undefined phenomena. It is capable of dealing with an unknown weight of attributes and an unknown weight of decision-makers. Finally, a numerical example of multi-attribute group decision-making problem of investment potential is solved to show the feasibility, validity and efficiency of the proposed decision-making strategy. View Full-Text
Share & Cite This Article
Pramanik, S.; Dalapati, S.; Alam, S.; Smarandache, F.; Roy, T.K. NS-Cross Entropy-Based MAGDM under Single-Valued Neutrosophic Set Environment. Information 2018, 9, 37.
Pramanik S, Dalapati S, Alam S, Smarandache F, Roy TK. NS-Cross Entropy-Based MAGDM under Single-Valued Neutrosophic Set Environment. Information. 2018; 9(2):37.Chicago/Turabian Style
Pramanik, Surapati; Dalapati, Shyamal; Alam, Shariful; Smarandache, Florentin; Roy, Tapan K. 2018. "NS-Cross Entropy-Based MAGDM under Single-Valued Neutrosophic Set Environment." Information 9, no. 2: 37.
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.