An Interpolative Reasoning Method Based on Hedge Algebras and Its Application to a Problem of Fuzzy Control
نویسندگان
چکیده
The paper aims to show an applicability of the algebraic approach introduced in [7,9,11,6] to solving a problem of fuzzy control. In this approach, linearly ordered term-domains of linguistic variables can be considered as linear hedges algebras (LinHAs). It is interesting that in LinHAs, a formal notion of fuzziness measure of linguistic hedges and terms can be defined in a reasonable way, based on the closeness of term meaning expressed in these algebras. Based on its nature, a notion of semantically quantifying mappings (SQMs) can be examined. An interpolative reasoning method using such SQMs and classical interpolative methods will be introduced to solve the problem of an inverted pendulum. It is shown that the obtained results are much better than that produced by ordinary fuzzy method. Key-words: fuzzy control, hedge algebras, fuzziness measure, semantically quantifying mapping, interpolative reasoning method, hedge algebras-based controller, inverted pendulum system
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