On the Variance of Interval Type-2 Fuzzy Sets

被引：2
|
作者：
Figueroa-Garcia, Juan Carlos [1 ]
Ramos-Cuesta, Jennifer Soraya [2 ]
Hernandez-Perez, German [3 ]
机构：
[1] Univ Dist Francisco Jose De Caldas, Fac Engn, Bogota 110231, Colombia
[2] Univ Dist Francisco Jose De Caldas, Ind Engn Program, Bogota 110231, Colombia
[3] Univ Nacl Colombia, Dept Syst Engn & Comp, Bogota 111321, Colombia
来源：
IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2023年 / 31卷 / 07期
关键词：
Interval type-2 fuzzy sets; uncertainty measures; variance;
D O I：
10.1109/TFUZZ.2022.3223761
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This article presents some theoretical considerations about the variance of a fuzzy set and introduces a covering-based algorithm for computing the bounds of the variance of an interval Type-2 fuzzy set. The proposed algorithm obtains the bounds of all possible variances of an interval Type-2 fuzzy set unlike other algorithms, which are based on the center of centroid of an interval Type-2 fuzzy set to obtain a relative variance that is proven to be always bigger than the absolute variance. A comparison to the relative variance of an interval Type-2 fuzzy set is given through different examples, where the proposed algorithm shows better precision than the KM algorithm.
引用
收藏
页码：2320 / 2330
页数：11
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