Inverted Triple I Sustaining And Dual Form Of Triple I Methods Based On Implication Operators NM_p

Since Zadeh in 1973 for the first time proposed CRI algorithm (compositional rule of inference ) based on fuzzy separation rules model ( Fuzzy Modus Ponens abbreviated as FMP) ,fuzzy control technology is widely used in industrial control whose foundation is the method of fuzzy reasoning and achieves significant economic benefits. As the CRI algorithm lacks of strict logical basis, therefore, suffered questioned from experts in this field, because of this, professor Wang Guo-jun proposed full implication triple I algorithms which promote the CRI algorithms efficiently. Resulting in fuzzy reasoning, fuzzy control and other fields set off a wave of triple -I algorithm, such as Song Shi-ji ,Qin Feng and so on proposed reverse triple I algorithms and dual algorithm which developed and improved . theory of triple -I algorithmwhether CRI algorithm or implication triple I algorithms, its results is closely related to implication operator , The Reasoning results are often very different by differ implication operator, Even several implication operator simply have no optimal solution Which greatly limited the researching about the theory of fuzzy reasoning algorithm .This article research work is mainly launched based on implication operator, the main results are as follows:Firstly,the formulas inverted triple I methods of FMP and FMT problems are proposed based on implication operators NM P. And furthermore,the problem is generalized,formulas of theα-triple I FMP andα-triple I FMT are obtained respectively.Secondly, researching and discussing the consistency and weak consistency of algorithms of implication operatorsThirdly, formula and strict proof of the dual triple I FMP and dual triple I FMT are given based on implication operators NM P...