Polytopic Fuzzy Sets and Their Applications to Multiple-Attribute Decision-Making Problems

The aim of this paper is to introduce the concept of polytopic fuzzy sets as an extension of spherical fuzzy sets, picture fuzzy sets, and q-rung orthopair fuzzy sets. We define some basic operations and aggregation operators on polytopic fuzzy sets. Based on these operators, we present three new methods to deal with the multiple-attribute decision-making problem which cannot be solved with the help of existing aggregation operators. Finally, a numerical example is given to illustrate the validity of the proposed approach.