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 — which is an index indicating the Degree of Inclusion in the MIN of two Fuzzy Numbers, a way to approach the ”strongly included in”. Consequently, the ranking result can mostly be deduced directly, allowing an efficient ranking process.
Ranking triangular fuzzy numbers using fuzzy set inclusion index
LAARABI, MOHAMED HAITAM;SACILE, ROBERTO;
2013-01-01
Abstract
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 — which is an index indicating the Degree of Inclusion in the MIN of two Fuzzy Numbers, a way to approach the ”strongly included in”. Consequently, the ranking result can mostly be deduced directly, allowing an efficient ranking process.
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