The Prametric-Based GDM Procedure Under Fuzzy Environment

The prametric is an 'almost metric' which does not necessarily satisfy the triangle inequality but able to describe the consensus intransitivity in group decision making (GDM) such as Tom and Jack have preferences in common, also Jack and John have preferences in common, but, Tom and John do not necessarily have preferences in common. A prametric-based consensus formation procedure for GDM was presented in a literature. This paper considers the procedure under fuzzy environment where the individuals' preferences are provided as fuzzy numbers. The Yager defuzzification method is used for constructing the preference sequence matrix where the (i, j)-th entry indicates the alternative i's position(s) assigned by individual j. An illustrative example for application is also included.