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Ordered fuzzy numbers. (English) Zbl 1102.03310

Summary: A fuzzy counterpart of real numbers is presented. Fuzzy membership functions, which satisfy conditions similar to quasi-convexity are considered. An extra feature, called the orientation of the curve of the fuzzy membership function, is introduced. It leads to a novel concept of ordered fuzzy numbers, represented by ordered pairs of real continuous functions. Arithmetic operations defined on ordered fuzzy numbers make it possible to avoid some drawbacks of the classical approach.

MSC:

03E72 Theory of fuzzy sets, etc.
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