Towards a More Adequate Use of Interval-Valued Fuzzy Techniques in Intelligent Control: A Fuzzy Analogue of Unimodality
Van‐Nam Huynh, Владик Крейнович, Van Nam Huynh, Vladik Kreinovich · scholarworks - UTEP (The University of Texas at El Paso) · 2008
Abstract. 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) ∈ [m(x),m(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 imple-