双输入-单输出CRI模糊推理方法的还原性  

The Reductivity of CRI Fuzzy Inference On Two Input-One Output

作　　者：董晓梅[1] 

机构地区：[1]大连工业大学信息科学与工程学院,辽宁大连116034

出　　处：《模糊系统与数学》2017年第6期113-116,共4页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助(No.61473327)

摘　　要：为了深入研究模糊推理的性质,本文研究了双输入-单输出CRI模糊推理方法的还原性.指出:(1)对"∨-∧"合成来说,当模糊蕴涵取为Mamdani和Gdel蕴涵时,双输入-单输出模糊推理具有P_0-还原性;(2)对"∨-∧"合成来说,当模糊蕴涵取为R_0-蕴涵,Zadeh蕴涵和Kleene-Dienes蕴涵时,双输入-单输出模糊推理具有P_1-还原性;(3)对"∨-T"合成来说,当T(a+b)=(a+b-1)∨0,模糊蕴涵为Zadeh蕴涵,Kleene-Dienes蕴涵,Gdel蕴涵,R0蕴涵和Lukasiewicz蕴涵时,双输入-单输出模糊推理具有P_0-还原性.In order to study further the properties of fuzzy inference ,the reductivity of CRI fuzzy inference on two input-one output is studied. It is poined that （1）If we use ＂ ∨-∧ ＂ composition and fuzzy implication such as Mamdani fuzzy implication and C,6del fuzzy implication,then the fuzzy inference method is of P0 --reductivity; （2） When we use ＂ ∨-∧ ＂ composition and choice normal fuzzy implications such as R0- implication, Zadeh implication and Lukasiewicz implication ,then the fuzzy inference method is of P1 -- reductivity~ （3） If we use ＂ ∨-T ＂ composition and choice normal fuzzy implications such as Zadeh implication , Kleene- Dienes implication, C-6del implication, R0 - implication and Lukasiewicz implication, then the fuzzy inference method is of P0 -- reductivity whenT（a,b） = （a＋b-1） V0.

关 键 词：模糊推理 模糊蕴涵 还原性 

分 类 号：O189[理学—数学]