SVPNS-MADM strategy based on GRA in SVPNS Environment

Abstract

 In the present study, we present a multi-attribute-decision-making (MADM) strategy in 
Single Valued Pentapartitioned Neutrosophic Set (SVPNS) environment based on Grey Relational 
Analysis (GRA) which we call SVPNS- MADM strategy. We define Hamming distance between two 
single valued pentapartitioned neutrosophic sets and prove its basic properties. The notion of 
pentapartitioned neutrosophic set is a powerful mathematical tool to deal with incomplete, 
indeterminate, ignorance, and inconsistent information. In this paper, we extend the neutrosophic 
GRA strategy to pentapartitioned neutrosophic GRA strategy. Then we employ it to an MADM 
strategy. Further, we demonstrate the developed MADM strategy by solving an illustrative 
numerical example that reflects the efficiency and applicability of the proposed strategy.