直觉模糊逻辑的语义算子研究

On the Semantic Operators for Intuitionistic Fuzzy Logic

首先引用Atanassov直觉模糊集的基本概念和运算。在阐明直觉模糊集的集中、扩张、归一化算子之后,新定义了强化算子。通过考察Atanassov直觉模糊集与Zadeh模糊集之间的关系,给出了直觉模糊语言、结构化直觉模糊语言和直觉模糊语义的数学描述,重点对基于直觉模糊集和直觉模糊关系的模糊语言的语义算子,如语气算子、模糊化算子、判定化算子及连接与否定算子等进行了研究,并举例阐明其应用,使直觉模糊逻辑的语义算子得到进一步的拓广。

The fundamental notions and operations on Atanassov Intuitionistic Fuzzy Sets are first introduced. With the operators of Concentration, Dilation and Normalization described, an operator of Intensification is proposed. By observing and studying on the relationship between Atanassov IFSs and Zadeh Fuzzy Sets theories,a mathematic description of Intuitionistic Fuzzy Language and Structured IFL and IF semantics is exposed with the emphasis on investigating semantic operators of mood,fuzzication,determinant,joint and negation over vague linguistics based on IFSs and intuitionistic fuzzy relations,and their applications are illustrated with examples,which develops more semantic operators on the intuitionistic fuzzy logic as an extension.