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The methodology of fuzzy reasoning has been shown to be very useful technology for modeling complex nonlinear systems. However, the most commonly used method for reasoning with fuzzy systems models, the Mamdani-Zadeh paradigm, faces many criticisms, particularly from the probability community. A new mathematical representation of linguistic concepts is presented in this paper. With the new model of normal compatibility clouds and a virtual rule engine, a novel uncertainty reasoning technologydoi:10.1016/s0898-1221(97)00282-4 fatcat:cujiyo2u5jfvxfdurn7grctloe