直觉模糊知识粒的分解与合成研究

针对近似空间笛卡尔积粗糙集模型及其可分解性问题,采用直觉模糊三角模算子构成新的直觉模糊积近似空间,研究了基于直觉模糊知识粒下积粗糙集模型的分解及合成问题.首先,运用直觉模糊三角模运算构造出新的直觉模糊关系,验证了其符合等价关系的条件,并给出新的等价关系的算法原理;其次,构建了直觉模糊积粗糙集模型,对其模型结构及数学特性...

Research on Decomposition and Synthesis of Intuitionistic Fuzzy Knowledge Grains

In view of the approximate space Cartesian product rough set model and its decomposability problem,a new intuitionistic fuzzy product approximate space is formed by using intuitionistic fuzzy triangular norms operator,and the decomposition and synthesis of product rough set model based on intuitionistic fuzzy knowledge grains are studied. Firstly,a new intuitionistic fuzzy relation is constructed by using intuitionistic fuzzy triangular norms operation,the conditions of equivalence relation are verified,and the algorithm principle of the new equivalence relation is given. Secondly,the intuitionistic fuzzy product rough set model is constructed,the structure and mathematical characteristics of the model are studied,and the algorithm principle of getting product rough set is given. Finally,in reverse,this paper studies the decomposition of intuitionistic fuzzy knowledge grains and proves the conjecture of fuzzy knowledge granularity decomposition. The purpose of this paper is to explore the decomposition and synthesis mechanism of intuitionistic fuzzy product rough set models theoretically,and to provide a new idea for the further expansion of rough set theory.