Abstract
NH-MADM Strategy in Neutrosophic Hesitant Fuzzy Set Environment Based on Extended GRA
Highlights
Multiple attribute decision making (MADM) is a process of finding the best alternative that has the highest degree of satisfaction from a finite set of alternatives characterized with multiple attributes
Grey relational analysis (GRA) (Deng, 1989), a part of grey system theory, is another effective tool that has been successfully applied in solving a variety of MADM strategies (Zhang et al, 2005; Wei, 2010, 2011; Wei et al, 2011; Zhang and Liu, 2011; Pramanik and Mukhopadhyaya, 2011; Zhang et al, 2013)
We propose MADM based on GRA to determine the most desirable alternative under the following cases: Case 1a
Summary
Multiple attribute decision making (MADM) is a process of finding the best alternative that has the highest degree of satisfaction from a finite set of alternatives characterized with multiple attributes. Because of uncertainty and vagueness of human thinking, decision makers often consider preference values in terms of fuzzy set (Zadeh, 1965), hesitant fuzzy set (Torra, 2010), intuitionistic fuzzy set (Atanassov, 1986), Pythagorean fuzzy set (Yager, 2014), etc These sets cannot properly express incomplete, indeterminate and inconsistent type information which generally occurs in MADM under uncertain environment. Biswas (2018) proposed an extended GRA strategy for solving MADM in neutrosophic hesitant fuzzy environment with incomplete weight information. To present the idea of MADM problem in SVNHFS and INHFS environments, where the preference values of alternatives are considered with either SVNHFSs or INHFSs and the weight information of attributes are assumed to be completely known, incompletely known, and completely unknown.
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