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.
作者
彭家寅
PENG Jiayin(School of Mathematics and Information Science,Neijiang Normal University,Neijiang,Sichuan 641199,China)
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)
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
intuitionistic fuzzy reasoning
three I method
α-three I algorithm
three I constraint algorithm
reducibility
