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

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.