Generating Minimum Dispersion Densities from an Interval-Valued Fuzzy Set
نویسندگان
چکیده
Let f be an interval-valued fuzzy subset of a nite set U of size n. This yields n closed intervals inside the unit interval. Picking a point in each interval and dividing by the sum of the points gives rise to a probability density on the set of intervals. For a given measure of dispersion, such as entropy, the problem is to pick points that maximize (or minimize) this dispersion. The particular case considered here is to pick points that minimize the sum of the squares of probabilities in the density. We provide an algorithm for picking such points. Keywordsinterval-valued fuzzy set; minimum dispersion density; probability density; sum of squares
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