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- W3040988145 abstract "In real applications, calculation of centroid, as a common defuzzification method, requires discretization of the fuzzy sets which makes the calculation on one hand time-consuming and on the other hand approximated. Particularly, centroid calculation for higher order fuzzy sets, is a bottleneck toward their real use. In this paper, we introduce polygonal fuzzy sets of type-1, interval type-2, and general type-2. Then we propose a closed form formula for exact and fast calculation of the centroid of polygonal type-1 fuzzy sets defined on continuous domain without the need of discretization. With the integration of the proposed method with EKM algorithm – that is a well-known algorithm for calculating the centroid of interval type-2 fuzzy sets – a fast and precise method for calculating the centroid of polygonal interval type-2 fuzzy sets and polygonal type-2 fuzzy sets on discrete and continuous domain are presented. It is shown that the proposed algorithms calculate the centroids of polygonal fuzzy sets faster and more accurately." @default.
- W3040988145 created "2020-07-16" @default.
- W3040988145 creator A5002795684 @default.
- W3040988145 creator A5078687037 @default.
- W3040988145 date "2020-10-01" @default.
- W3040988145 modified "2023-09-27" @default.
- W3040988145 title "Centroid of polygonal fuzzy sets" @default.
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- W3040988145 doi "https://doi.org/10.1016/j.asoc.2020.106519" @default.
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