Bi-symmetrically Weighted Trapezoidal Approximations of Fuzzy Numbers

Authors:
Przemyslaw Grzegorzewski;Karolina Pasternak-Winiarska
Affiliations:
-;-
Venue:
ISDA '09 Proceedings of the 2009 Ninth International Conference on Intelligent Systems Design and Applications
Year:
2009

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Abstract

Trapezoidal approximation of fuzzy numbers preserving the expected interval is considered. A general problem of the trapezoidal approximation of fuzzy numbers with respect to the distance based on bi-symmetrical weighted functions is solved. A practical algorithm for constructing approximation operator is given.