Operators on Single Valued Trapezoidal Neutrosophic Numbers and SVTN-Group Decision Making

This paper first introduces single valued trapezoidal neutrosophic (SVTN) numbers with their properties, then defines some operations and distances of the SVTN-numbers and defines a multi attribute group decision making method, called SV TN-groupdecision making method.

Abstract

In this paper, we first introduce single valued trapezoidal neutrosophic (SVTN) numbers with their properties. We then define some operations and distances of the SVTN-numbers. Based on these new operations, we also define some aggregation operators, including SVTN-ordered weighted geometric operator, SVTN-hybrid geometric operator, SVTN-ordered weighted arithmetic operator and SVTN-hybrid arithmetic operator. We then examine the properties of these SVTN-information aggregation operators. By using the SVTN-weighted geometric operator and SVTN-hybrid geometric operator, we also define a multi attribute group decision making method, called SVTN-group decision making method. We finally give an illustrative example and comparative analysis to verify the developed method and to demonstrate its practicality and effectiveness.