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Fuzzy functional inference method

Fuzzy functional inference method,10.1109/FUZZY.2010.5584906,Hirosato Seki,Masaharu Mizumoto

Fuzzy functional inference method   (Citations: 2)
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This paper proposes a fuzzy functional inference method in which the consequent parts of the T-S inference method is generalized to fuzzy functions. Moreover, this paper addresses equivalence of the proposed fuzzy inference method. Namely, the fuzzy functional inference method is shown to be equivalent to the weighted T-S inference method whose consequent parts have weights, by adopting as the weight the area or the base length of fuzzy set obtained from the fuzzy function in the consequent part.
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    • ...From this reason, Seki and Mizumoto [4], [5] have proposed a fuzzy functional inference method in which the consequent parts of the T–S inference method is generalized to fuzzy functions, and shown the equivalence [6]–[15] between the fuzzy functional inference method and the weighted T–S inference method...
    • ...In this subsection, we review a fuzzy functional inference method [4], [5] in which the consequent parts of the T– S inference method are generalized to fuzzy function...
    • ...The representative point y0 is easily obtained from the area of fuzzy sets of the consequent parts and center of gravity by using the product–sum–gravity method [4], [5]...
    • ...From [4] and [5], the inference result y0 of (20) of the type-2 fuzzy functional inference method can be transformed...
    • ...As well as Model 1, the representative point y0 of Model 2 is obtained from the area of fuzzy sets of the consequent parts and center of gravity (See [4], [5] for detail)...

    Hirosato Sekiet al. Type2 fuzzy functional inference method

    • ...From this reason, Seki and Mizumoto [4] have proposed a fuzzy functional inference method in which the consequent parts of the T-S inference method is generalized to fuzzy functions, and shown the equivalence [5]- [14] between the fuzzy functionoal inference method and the weighted T-S inference method...
    • ...In this subsection, we review a fuzzy functional inference method [4] in which the consequent parts of the T-S inference method are generalized to fuzzy function...
    • ...Next, we consider a weighted T-S inference method [4] as follows...
    • ...We briefly review the equivalence between the fuzzy func­ tional inference method and weighted T-S inference method [4]...
    • ...The inference result Yo of F' in (13) is given as follows [4]:...

    Hirosato Sekiet al. Additive fuzzy functional inference methods

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