基于L~＊-值Luasiewicz蕴涵算子的直觉模糊推理全蕴涵方法  

Full Implication Method of Intuitionistic Fuzzy Reasoning Based on L~＊-value Luasiewicz Implication Operator

作　　者：彭家寅[1] PENG Jiayin(School of Mathematics and Information Science,Neijiang Normal University,Neijiang,Sichuan 641199,China)

机构地区：[1]内江师范学院数学与信息科学学院,四川内江641199

出　　处：《内江师范学院学报》2018年第4期42-47,共6页Journal of Neijiang Normal University

基　　金：教育部数学与应用数学专业综合改革(ZG0464);四川省科技厅重点科技项目(2006J13-035);四川省数学与应用数学专业综合改革(01249);国家自然科学基金(11071178)

摘　　要：以L~*-格值上的Lukasiewicz蕴涵算子为工具,研究直觉模糊推理的全蕴涵三Ⅰ方法.给出了直觉模糊假言推理(IFMP)问题和直觉模糊拒取式推理(IFMT)问题的三Ⅰ方法的计算公式,证明了在一定条件下它们具有还原性.研究了这两类问题的α-三Ⅰ算法和三Ⅰ约束算法,提供了它们的计算公式.The Full Implication Three I method of intuitionistic fuzzy reasoning is studied by using the Lukasiewicz implication operator on the L*-lattice value as the tool.The formulas for the Three I method of IFMP(Intuitionistic Fuzzy Modus Ponens)problem and IFMT(Intuitionistic Fuzzy Modus Tollens)problem are given,and their reducing properties under certain conditions are proved.Theα-three I algorithm and three I constraint algorithm for these two kinds of problems are studied,and their computational formulas are provided.

关 键 词：直觉模糊推理 三I方法 α-三I算法 三I约束算法 还原性 

分 类 号：O159[理学—数学]