GRA Method of Multiple Attribute Decision Making with Single Valued Neutrosophic Hesitant Fuzzy Set Information

Single valued neutrosophic hesitant fuzzy set has three independent parts, namely the truth membership hesitancy function, indeterminacy membership hesitancy function, and falsity membership hesitancy function, which are in the form of sets that assume values in the unit interval [0, 1]. Single valued neutrosophic hesitant fuzzy set is considered as a powerful tool to express uncertain, incomplete, indeterminate and inconsistent information in the process of multi attribute decision making problems. In this paper we study multi attribute decision making problems in which the rating values are expressed with single valued neutrosophic hesitant fuzzy set information. Firstly, we define score value and accuracy value to compare single valued neutrosophic hesitant fuzzy sets and then define normalised Hamming distance between the single valued neutrosophic hesitant fuzzy sets. Secondly, we propose the grey relational analysis method for multi attribute decision making under single valued neutrosophic hesitant fuzzy set environment. Finally, we provide an illustrative example to demonstrate the validity and effectiveness of the proposed method.