A Generalized Polygon Fuzzy Number for Fuzzy Multi Criteria Decision Making

Allowing various forms of fuzzy numbers to be adopted in fuzzy multi criteria decision making (FMCDM) problems adds more flexibility to decision makers to represent their own opinions to handle uncertainty. For most cases uncertain numbers of the forms of: interval, triangle, or trapezoidal are used. In this paper, polygon fuzzy numbers (PFNs) are introduced so as to allow decision makers to adopt other forms of numbers such as: pentagon, hexagon, heptagon, octagon, etc, to provide more flexibility to represent uncertainty. A case study is given to illustrate the way of manipulation of the proposed PFN.