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|Title:||Proposal on approximate reasoning based on revision principle and fixed value law|
|Authors:||Ding, Liya |
|Source:||Ding, Liya,Mukaidono, Masao (1991). Proposal on approximate reasoning based on revision principle and fixed value law. Systems and Computers in Japan 22 (13) : 20-27. ScholarBank@NUS Repository.|
|Abstract:||When a rule P → Q and a fact P′ that is an approximation of P are given, how to obtain the conclusion Q′ approximately is an interesting topic on approximate reasoning. This paper proposes a new approach based on the revision principle and fixed value law. The basic idea on revision principle is to deduce Q′ from Q based on the deviation of P′ from P. When the revision principle is applied on fuzzy set, there are two laws for obtaining a deviation from P′ to P. The first law is called the fixed point law. Its basic idea is to fix an element x in the universe of discourse X of P and P′ to obtain the deviation between the membership functions μp(x) and μp′(x). The second law is called the fixed value law. Its basic idea is to fix a value such that the membership functions μp(x) = μp′(x′) to obtain the shift from point x to x′ on the universe of discourse X. According to the fixed value law, it will become possible to deduce Q′ from Q by shifting the membership function. As an example of the fixed value law, a set of linear revising formulas will be given.|
|Source Title:||Systems and Computers in Japan|
|Appears in Collections:||Staff Publications|
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