格蕴涵代数中的直觉模糊关联滤子

Intuitionistic Fuzzy Implicative Filter in Lattice Implication Algebras

在格蕴涵代数关联滤子研究成果的基础上,将直觉模糊集理论与格蕴涵代数的关联滤子的结构及性质相结合,给出了格蕴涵代数中的直觉模糊关联滤子的定义,讨论了格蕴涵代数中直觉模糊滤子和直觉模糊关联滤子之间的关系,证明了在格蕴涵代数中直觉模糊关联滤子是直觉模糊滤子。同时,文中还研究了直觉模糊关联滤子的一些代数性质。

Lattice implication algebra is one of important logic algebras. Its structure and properties have been studied extensively by many researchers. In the paper, based on the concept of lattice implication algebra and the properties of the implicative filter, and combining the concept and properties of the intuitionistic fuzzy set, the intuitionistic fuzzy implicative filter in lattice implication algebra is defined. The paper presents the relation between intuitionistic fuzzy filter and intuitionistic fuzzy implicative filter. It proves that the intuitionistic fuzzy implicative filter is intuitionistic fuzzy filter. According to the above researches, the properties of the intuitionistic fuzzy implicative filter are studied.