广义CRI模糊推理方法的连续性、单调性和还原性  

Continuity,monotonicity and reductivity of generalized CRI fuzzy inference

作　　者：袁学海[1] 韩滢[2] 

机构地区：[1]大连理工大学盘锦校区基础教学部,辽宁盘锦124221 [2]朝阳师范高等专科学校数学计算机系,辽宁朝阳122000

出　　处：《辽宁工程技术大学学报（自然科学版）》2016年第11期1347-1350,共4页Journal of Liaoning Technical University (Natural Science)

基　　金：国家自然科学基金资助(61473327)

摘　　要：为研究广义CRI模糊推理方法的连续性,单调性和还原性,通过建立两个引理,证明了:在广义CRI模糊推理方法中,当第一个模糊蕴涵取为Lukasiewicz蕴涵,Kleene-Dienes蕴涵或Reichenbach蕴涵时,该模糊推理方法都具有连续性,且该推理方法是递减的.也证明了该模糊推理方法具有较好的还原性.通过研究发现:广义CRI模糊推理方法与CRI模糊推理方法有类似的性质,因此人们可用广义CRI模糊推理方法来构造模糊系统.In order to study the properties of the generalized CRI fuzzy inference, this paper studied the continuity, monotonicity and reductivity of the generalized CRI fuzzy inference. By building up two Lemmas, this paper proved that the generalized CRI fuzzy inference has the continuity and monotonicity when the first fuzzy implication is one of Lukasiewicz implication, Kleene-Dienes implication and Reichenbach implication; and that the gengralized CRI fuzzy inference has similar reductivity to CRI fuzzy inference. Comparing the gengralized CRI fuzzy inference with the CRI fuzzy inference shows that two fuzzy inferences have similiar properties and people can construct the fuzzy system by use of the generalized CRI fuzzy inference.

关 键 词：模糊集合 模糊推理 模糊蕴涵 连续性 单调性 还原性 

分 类 号：O159[理学—数学]