β Scribed by Wu Wangming
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L.A. Zadeh first suggested a method of fuzzy reasoning called compositional rule of inference (CR1 for short). Instead of sup-min composition we use a more general composition called sup-T composition in CRI. According to the criteria GMP and GMT, the fuzzy implication R must satisfy the sup-T composite fuzzy relational equations: Q@R = S and s@R-' = &. In this paper, we discuss the solution of these equations and point out that sup-a composition and the implication R,, used to CRI will be more suitable under criteria GMP and GMT.
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