Research On Quintuple Implication Principle Based On Fuzzy Reasoning

The two core problems of fuzzy reasoning are divided into FMP(fuzzy modus ponens)and FMT(fuzzy modus tollens).Zadeh gave a fuzzy set for fuzzy inference,and proposed a CRI algorithm based on the fuzzy set.Later scholars improved the new algorithm based on the CRI algorithm.Among them,in order to improve the approximate reasoning quality of fuzzy systems,Professor Zhou et al.Proposed a quintuple implication principle(QIP)to solve the problems of fuzzy reasoning FMP and fuzzy reasoning FMT.Although the quintuple implication principle has a recognized advantage in terms of logical basis and reducibility.However,considering the overall fuzzy system,the consistency of the implication operator will cause the algorithm to be unsatisfactory in response performance.Based on this,we combine the idea of symmetric implication,without restricting the quintuple implication operators to be the same operator,and propose a symmetric quintuple implication algorithm.Based on the theory of quintuple implication algorithm,this dissertation proposes(1,2,1,2,1)symmetric quintuple implication algorithm and(1,2,2,2,2)symmetric quintuple implication algorithm.This article first discusses the definition,reduction,robustness,continuity and interpolation of multiple fuzzy rules for the symmetric quintuple implication algorithm.Secondly,from the perspective of fuzzy sentiment calculation,the advantages of symmetric quintuple implication algorithm are verified.Finally,by constructing the(1,2,2,2,2)type and or non-functional tree to illustrate that the symmetric quintuple implication algorithm has strong practicability in the field of innovative conceptual design.The main work of this dissertation is as follows:(1)Aiming at the properties of symmetric quintuple implication algorithm FMP and FMT,the definition of(1,2,1,2,1)type symmetric quintuple implication algorithm is given,and the reduction of symmetric quintuple implication algorithm is studied.Combined with the R-implication operator,the ?-FMP-symmetric quintuple implication solution and ?-FMT-symmetric quintuple implication solution,Min P-symmetric quintuple implication solution and Min T-symmetric quintuple implication solution are discussed respectively.Finally,the symmetric quintuple algorithm under multiple rules is studied,and the relationship between its continuity and interpolation is discussed.(2)Aiming at the properties of symmetric quintuple implication algorithms FMP and FMT,the definition of(1,2,2,2,2)type symmetric quintuple implication algorithm is given,and the solution of symmetric quintuple implication algorithm is studied.Verify whether the(1,2,2,2,2,)symmetric quintuple implication algorithm has good reduction and robustness.Verify the relationship between interpolation and continuity under multiple fuzzy rules.(3)(1,2,1,2,1)type symmetric quintuple implication algorithm and(1,2,2,2,2)type symmetric quintuple implication algorithm are better than the symmetric quintuple implication algorithm in emotional calculation results.Finally,by constructing the(1,2,2,2,2)type NOR or non-functional tree system,the and/or/not function tree of the(1,2,2,2,2)symmetric quintuple implication algorithm is applied to the maglev train in.