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Ordered fuzzy numbers

Kosiński W., Prokopowicz P., Ślęzak D.

Bulletin of the Polish Academy of Sciences. Mathematics

2003

Vol. 51, no 3

329-341

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