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

摘要

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.

Abstract: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.