Operations of fuzzy numbers via genuine set

Authors:
Jun Han;Baoqing Hu
Affiliations:
School of Mathematics and Statistics, Wuhan University, Wuhan, P.R. of China;School of Mathematics and Statistics, Wuhan University, Wuhan, P.R. of China
Venue:
RSKT'10 Proceedings of the 5th international conference on Rough set and knowledge technology
Year:
2010

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Abstract

In this paper, we discuss the arithmetic operations on fuzzy numbers from the point of view of Genuine set. The paper specially studies the operations on triangular fuzzy numbers and presents an effect algorithm to compute them. We divide one general triangular fuzzy number into two symmetric triangular fuzzy numbers by the properties of extension maximum and minimum operations for the convenience of the calculation.