Oral Presentation , Page 104-108 (5)

Volume Title: 2nd IEEE International Conference on Electronic Eng., Faculty of Electronic Eng., Menouf, Egypt, 3-4 July. 2021

Similarity measures are one of the most significant tools for reasoning in a fuzzy environment. While several similarity measures handle type-1 fuzzy sets, only a few handle type-2 fuzzy sets. This article proposes a similarity measure for trapezoidal interval type-2 fuzzy sets (TrIT2FSs). The proposed similarity measure avoids the flaws of the extant similarity measures for TrIT2FSs. It is a simple method and its calculations are easily performed. The method is a generalization of a similarity measure for generalized type-1 fuzzy sets and an extension of a similarity measure for interval-valued fuzzy sets with simplifications. The method is based on the perimeters, heights, and geometric distances of the upper and lower membership functions. A problem in fuzzy risk analysis is solved to illustrate the applicability of the proposed similarity measure to solve these problems.

Interval type-2 fuzzy sets; similarity measures; fuzzy risk analysis