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Type-2 fuzzy sets let us model and minimize the effects of uncertainties in rule-base fuzzy logic systems. However, they are difficult to understand for a variety of reasons which we enunciate. In this paper, we strive to overcome the difficulties by: 1) establishing a small set of terms that let us easily communicate about type-2 fuzzy sets and also let us define such sets very precisely, 2) presenting a new representation for type-2 fuzzy sets, and 3) using this new representation to derive formulas for union, intersection and complement of type-2 fuzzy sets without having to use the Extension Principle.
Keyword:
type-2 fuzzy logic systems
type-2 fuzzy sets
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IF:
11.9
论文数:
5.0K
被引数:
2.9W
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An interpretation of membership functions and the properties of general probabilistic operators as fuzzy set operators .2. Extension to three-valued and interval-valued fuzzy sets将隶属函数和一般概率算子的性质解释为模糊集算子。2。扩展到三值和区间值模糊集.png)
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