Approximated type-2 fuzzy set operations

被引：30

作者：

Tahayori, Hooman ^{[1
]}

Tettamanzi, Andrea G. B. ^{[2
]}

Antoni, Giovanni Degli ^{[1
]}

机构：

[1] Univ Milan, Dipartimento Sci Informaz, Via Comelico 39-41, I-20135 Milan, Italy

[2] Univ Milan, Dipartimento Technol Informaz, I-20135 Milan, Italy

来源：

2006 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-5 | 2006年

关键词：

D O I：

10.1109/FUZZY.2006.1681965

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Type-2 fuzzy sets, an elaboration over type-1 fuzzy sets, are an interesting method for handling uncertainty in rules and parameters in fuzzy systems. However, their adoption has not been as wide as one could have expected. In this paper we provide a simple introduction to type-2 fuzzy sets; then we propose a novel method for calculating operations on type-2 fuzzy sets with. normal type-1 membership values, for which we redefine set ordering. Finally, based on the max ordering of fuzzy set and highest degree of separation, we propose an approximation for performing the operations, which ensures that the calculation is accurate for the most important parts of the membership values.

引用

页码：1910 / +

页数：3

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