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Towards A More Adequate Use Of Interval-Valued Fuzzy Techniques In Intelligent Control: A Fuzzy Analogue Of Unimodality, Van Nam Huynh, Vladik Kreinovich
Towards A More Adequate Use Of Interval-Valued Fuzzy Techniques In Intelligent Control: A Fuzzy Analogue Of Unimodality, Van Nam Huynh, Vladik Kreinovich
Departmental Technical Reports (CS)
It is known that interval-valued fuzzy sets provide a more adequate description of expert uncertainty than the more traditional "type-1" (number-valued) fuzzy techniques. In the current approaches for using interval-valued fuzzy techniques, it is usually assumed that all fuzzy sets m(x) from the interval [l(x),u(x)] are possible. In this paper, we show that it is reasonable to restrict ourselves only to fuzzy numbers m(x), i.e., "unimodal" fuzzy sets. We also describe feasible algorithms for implementing thus modified intelligent control.