A Note on the KM Algorithm for Computing the Variance of an Interval Type-2 Fuzzy Set

被引：0
|
作者：
Carlos Figueroa-Garcia, Juan [1 ]
Franco, Carlos [2 ]
Sebastian Tenjo-Garcia, Jhoan [3 ]
机构：
[1] Univ Dist Francisco Jose de Caldas, Bogota, Colombia
[2] Univ Rosario, Bogota, Colombia
[3] Univ Nacl Colombia, Bogota, Colombia
来源：
EXPLAINABLE AI AND OTHER APPLICATIONS OF FUZZY TECHNIQUES, NAFIPS 2021 | 2022年 / 258卷
关键词：
Interval Type-2 fuzzy sets; Relative variance; Uncertainty measures;
D O I：
10.1007/978-3-030-82099-2_12
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This work presents some considerations about the computation of the relative variance for Interval Type-2 Fuzzy Sets. Based on experimental evidence, the computation of the relative variance of an interval Type-2 fuzzy set using the KM algorithm needs more computations than using the original KM algorithm in order to obtain their boundaries since the variance combined with the KM algorithm results in a nonlinear behavior. A modified KM algorithm for computing the relative variance of an interval type-2 fuzzy set is proposed and a comprehensive analysis of its behavior is provided through two examples.
引用
收藏
页码：130 / 140
页数：11
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