Group decision based on trapezoidal neutrosophic Dombi fuzzy hybrid operator

Abstract

The purpose of this paper is to introduce the concepts of Dombi t-norm and Dombi t-conorm to aggregate trapezoidal neutrosophic fuzzy information. First, we have proposed some new operational laws of trapezoidal neutrosophic fuzzy number based on Dombi t-norm and t-conorm. Furthermore, based on these operational laws, we have introduced trapezoidal neutrosophic fuzzy Dombi weighted arithmetic averaging operator, trapezoidal neutrosophic fuzzy Dombi order weighted arithmetic averaging operator, and trapezoidal neutrosophic fuzzy Dombi hybrid arithmetic averaging operator. Moreover, some suitable properties of these operators are also discussed. Then, utilizing these proposed operators, we have presented an algorithm to solve multiattribute decision-making (MADM) problems under trapezoidal neutrosophic fuzzy environment. Finally, we have utilized a numerical example to compare the flexibility of the proposed method with the other existing methods.