Entropy Based Grey Relational Analysis Method for MultiAttribute Decision Making under Single Valued Neutrosophic Assessments

Abstract

In this paper we investigate multi-attribute decision
making problem with single-valued neutrosophic attribute values.
Crisp values are inadequate to model real life situation due to
imprecise information frequently used in decision making
process. Neutrosophic set is one such tool that can handle these
situations. The rating of all alternatives is expressed with
single-valued neutrosophic set which is characterised by
truth-membership degree, indeterminacy-membership degree,
and falsity-membership degree. Weight of each attribute is
completely unknown to decision maker. We extend the grey
relational analysis method to neutrosophic environment and
apply it to multi-attribute decision making problem. Information
entropy method is used to determine the unknown attribute
weights. Neutrosophic grey relational coefficient is determined
by using Hamming distance between each alternative to ideal
neutrosophic estimates reliability solution and the ideal
neutrosophic estimates un-reliability solution. Then neutrosophic
relational degree is defined to determine the ranking order of all
alternatives. Finally, an example is provided to illustrate the
application of the proposed method