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JACIII Vol.13 No.3 pp. 321-330
doi: 10.20965/jaciii.2009.p0321
(2009)

Paper:

Inference with Governing Schemes for Propagation of Fuzzy Convex Constraints Based on α-Cuts

Kiyohiko Uehara*, Takumi Koyama*, and Kaoru Hirota**

*Ibaraki University, Hitachi 316-8511, Japan

**Tokyo Institute of Technology, Yokohama 226-8502, Japan

Received:
November 18, 2008
Accepted:
December 25, 2008
Published:
May 20, 2009
Keywords:
fuzzy inference, fuzzy convex constraints, constraint propagation, α-cuts, generalized mean
Abstract

A governing scheme is proposed for fuzzy constraint propagation from given facts to consequences in convex forms, which is applied to the inference method based on α-cuts and generalized mean. The governing is performed by self-tuning which can reflect the distribution forms of fuzzy sets in consequent parts to the forms of deduced consequences. Thereby, the proposed scheme can solve the problems in the conventional inference based on the compositional rule of inference that deduces fuzzy sets with excessive fuzziness increase and specificity decrease. In simulations, it is confirmed that the proposed scheme can effectively perform the constraint propagation from given facts to consequences in convex forms while reflecting fuzzy-set distributions in consequent parts. It is also demonstrated that consequences are deduced without excessively large fuzziness and small specificity.

Cite this article as:
Kiyohiko Uehara, Takumi Koyama, and Kaoru Hirota, “Inference with Governing Schemes for Propagation of Fuzzy Convex Constraints Based on α-Cuts,” J. Adv. Comput. Intell. Intell. Inform., Vol.13, No.3, pp. 321-330, 2009.
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