Aggregation of triangular fuzzy neutrosophic set information and its application to multi-attribute decision making

Abstract

This paper is devoted to propose triangular fuzzy number neutrosophic sets by combining triangular fuzzy numbers with single valued neutrosophic set and define some of its operational rules. Then, triangular fuzzy number neutrosophic weighted arithmetic averaging operator and triangular fuzzy number neutrosophic weighted geometric averaging operator are defined to aggregate triangular fuzzy number neutrosophic sets. We have also established some of their properties of the proposed operators. The operators have been employed to multi attribute decision making problem to aggregate the triangular fuzzy neutrosophic numbers based rating values of each alternative over the attributes. The collective rating values of each alternative have been ordered with the help of score and accuracy values to find out the best alternative. Finally, an illustrative example has been provided to validate the proposed approach for multi attribute decision making problem.