Research On Truth Degree And The Approximate Reasoningin Several Kinds Of Fuzzy Logic Systems

The generalized semantic MP rule and generalized semantic HS rule in the revised Kleene logic system have been applied to RDP logic system. The properties of generalized semantic MP rule and generalized semantic HS rule of generalized tautologies in RDP logic system have been discussed. It is obtained that in logic system D1/2, generalized semantic rule (1/2)+-MP, (1/2)+-HS, 1-MP and 1-HS is true, but generalized semantic rule (1/2)-MP, (1/2)-HS is not.The α-stochastic truth degrees of formulas is introduced in MTLn Logic systems.their properties are discussed, and the conception of α-Dn similarity degree between formulas according to the α-stochastic truth degrees is followed. Thus a pseudo-distance on the propositions is defined. It is the promotion of existing results.The a-truth degrees is introduced in the Godel interval valued propositional logic system. It is proved that the interval value truth degree of MP rule and interval value truth degree HS rule. On this base, the a-similarity degree and its properties are given. Description in the Godel interval valued propositional logic system establishing pseudo distance is feasible.Last not the least, theΓ-deduction truth degree of formulas in L* logic system is introduced. Based on it, the properties of Γ-deduction similarity degree and Pseudo-distance have been discussed. The approximate reasoning of Γ-deduction truth degree is studied.It is concluded that three types of approximate reasoning patterns are equivalence to each other.