Rough Neutrosophic Multi-Attribute Decision-Making Based on Rough Accuracy Score Function

Abstract

This paper presents multi-attribute decision making based on rough accuracy score function with rough neutrosophic attribute values. While the concept of neutrosophic sets is a powerful logicto handle indeterminate and inconsistent information, the theory of rough neutrosophic sets is also a powerful mathematical tool to deal with incompleteness. The rating of all alternatives is expressed with the upper and lower approximation operator and the pair of neutrosophic sets which are characterized by truth-membership degree, indeterminacy-membership degree, and falsity-membership degree. Weight of each attribute is partially known to decision-maker. We introduce a multi-attribute decision-making method in rough neutrosophic environment based on rough accuracy score function. Information entropy method is used to obtain the unknown attribute weights. Rough accuracy score function is defined to determine rough accuracy score values. Then weighted rough accuracy score value is defined to determine the ranking order of all alternatives. Finally, a numerical example is provided to illustrate the applicability and effectiveness of the proposed approach.