Robustness of fuzzy reasoning and δ-equalities of fuzzy sets

Fuzzy reasoning methods (or approximate reasoning methods) are extensively used in intelligent systems and fuzzy control. In this paper the author discusses how errors in premises affect conclusions in fuzzy reasoning, that is, he discusses the robustness of fuzzy reasoning. After reviewing his prev...

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Bibliographic Details
Published in:IEEE transactions on fuzzy systems 2001-10, Vol.9 (5), p.738-750
Main Author: Cai, Kai-Yuan
Format: Article
Language:English
Subjects:
Approximation
Errors
Fuzzy control
Fuzzy logic
Fuzzy set theory
Fuzzy systems
Operators
Robustness
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Summary:Fuzzy reasoning methods (or approximate reasoning methods) are extensively used in intelligent systems and fuzzy control. In this paper the author discusses how errors in premises affect conclusions in fuzzy reasoning, that is, he discusses the robustness of fuzzy reasoning. After reviewing his previous work (1996), he presents robustness results for various implication operators and inference rules. All the robustness results are formulated in terms of delta-equalities of fuzzy sets. Two fuzzy sets are said to be delta-equal if they are equal to an extent of delta
ISSN:1063-6706
DOI:10.1109/91.963760