Ranking triangular fuzzy numbers using fuzzy set inclusion index

In this paper, an original ranking operator is introduced for Triangular Fuzzy Numbers. The purpose is to elaborate fast and efficient algorithms dealing with complicated operations and big data in fuzzy decision-making. The proposed ranking operator takes advantage of the topological relationship of two triangles, besides the Inclusion Index concept \u2014 which is an index indicating the Degree of Inclusion in the MIN of two Fuzzy Numbers, a way to approach the \u201dstrongly included in\u201d. Consequently, the ranking result can mostly be deduced directly, allowing an efficient ranking process