| Absthet Fuzzy control have made success in application, but its theory isuriripe. Abeut fuzzy reasoing─the basic theory of fuzzy contro, prof. WangGuojun proposed triple I methed. The aim of this paper is applying triple Imethod to interval ─ valued fuzzy reasoning.In the first part of this paper. As a base theory, the thiple I algorithm for-mula which can be apllied to a sort of implication operators is presented.The second part is about applytng triple I algorithm to interval valued fuzcyreasoning. First,defining operators â…¡ andâ†'between interval valued fuzzy sets;then, giving the triple I algorithm formula about interval valued huzzy reasoning,and, pointing out that fuzzy reasoning is a special interval valued fuzzy reasoningon condition of that interval degenerte into point.Based on a sort of special intervalvalued fuzzy ereasoning with multiple rulespresented in ï¼»3ï¼½, the third part proves montonidty theorm, infimum theorm andexistence theorm about p ─ good stateand glves Fire algorithm for the special andgeneral interval valued fuzzy reasoning with multiple rules.In the fourth part, a loglc system with R~0 ─ fuzzy sets valuation is discussedin detail. Some results are obtained. Especially, in this system there are only twoa ─ tautologies: l/2 ─ tautologies and tautobeies. |
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