Proceedings of the Fuzzy System Symposium
21st Fuzzy System Symposium
Session ID : 9B1-3
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9B1.
ANALOGY FOR FUZZY CONCEPT CONSIDERING SITUATIONS
*Atsushi HayashiTakehisa Onisawa
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Abstract
This paper proposes analogy between fuzzy concepts considering situations. A fuzzy concept in a situation is defined as a 2-tuple composed of a fuzzy set and a binary relation, which is called a situation-dependent fuzzy concept. An analogy and a weak analogy are defined as a bijection between fuzzy sets expressing situation-dependent fuzzy concepts in different situations.Some theorems say that an analogy and weak analogies exist between fuzzy sets expressing situation-dependent fuzzy concepts in any situations and there are order-isomorphism. This means that a fuzzy set expressing a situation-dependent fuzzy concept in some situation is obtained by a fuzzy set expressing the same concept in another situation and an analogy or a weak analogy.
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© 2005 Japan Society for Fuzzy Theory and Intelligent Informatics
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