Determining Optimal Points of Membership with Dependent Variables∗
نویسندگان
چکیده
Consider sets X and Y each with associated membership functions. Further suppose that there is a map f : X → Y . A membership may be induced onY from the membership ofX calculated using the extension principle, and the two memberships on Y may be combined to give an overall membership. The point with the highest membership in X can be determined directly or by back mapping the value with the highest membership in Y . These two ∗Manuscript prepared for submission to Fuzzy Sets and Systems †Assistant Professor of Mechanical Engineering ‡Graduate Research Assistant §Associate Professor of Mechanical Engineering, Mail Code 104-44, Caltech, Pasadena, CA 91125
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