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Fuzzy inequality relation system identification via sign matrix method

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3 Author(s)
S. R. Han ; Dept. of Electr. Eng., Toji Univ., Shanghai, China ; A. H. Song ; T. Sekiguchi

This paper intends to propose a new method of solving fuzzy relation inequality system identification which is expressed as B_⩽RoA⩽B¯. A is the input vector of the system; B¯, B_ is the upper bound and lower bound of the output vector of the system. R is an unknown fuzzy number matrix which represents the considered system. This is an extension and reverse problem of solving fuzzy relation equation RoA=B, and it has a very promising application scope in fuzzy system theory. In the proposed method, a so called sign matrix will be introduced and plays the main role. The element of the sign matrix is one of three kinds of signs `<', `=' and `>'. Some related properties about this topic will be discussed. We will also extend the sign matrix method to the problem of fuzzy relation system with interval valued input and output

Published in:

Fuzzy Systems, 1995. International Joint Conference of the Fourth IEEE International Conference on Fuzzy Systems and The Second International Fuzzy Engineering Symposium., Proceedings of 1995 IEEE Int  (Volume:3 )

Date of Conference:

20-24 Mar 1995