Use of Fuzzy Theory for Dealing with Uncertainty: Evaluating Alternatives Under Uncertaintyby Shinya Kikuchi, Univ of Delaware, Newark, United States,
Vijaykumar Perincherry, Univ of Delaware, Newark, United States,
Abstract: A method to deal with uncertainty which is associated with vagueness and ambiguity is presented. Fuzzy sets are introduced to account for vagueness in expression and fuzzy measure is introduced to account for ambiguity in determining the outcome. A large-scale plan for which the objectives are not clearly defined and the expected performance is not precisely given, is evaluated using fuzzy sets and fuzzy measure. management on fuzzy measures, possibility and necessity measures are introduced to account for the range of satisfaction of each objective. The fuzzy integral is introduced to derive the overall performance of the plan when the objectives are inter-related and hence their weights are not clearly defined.
Subject Headings: Fuzzy sets | Uncertainty principles | Integrals | Mathematical models
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