直觉模糊知识粒的分解与合成研究  

Research on Decomposition and Synthesis of Intuitionistic Fuzzy Knowledge Grains

作　　者：张创邦 王青海[1] ZHANG Chuangbang;WANG Qinghai(College of Computer,Qinghai Normal University,Xining 810008)

机构地区：[1]青海师范大学计算机学院,西宁810008

出　　处：《计算机与数字工程》2022年第2期270-275,299,共7页Computer & Digital Engineering

基　　金：国家社会科学基金项目“青海多民族花儿特色数据云平台建设及深度学习挖掘研究”(编号:17XTQ013);青海省物联网重点实验室项目(编号:2020-ZJ-Y16)资助。

摘　　要：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进行了研究,并给出了积粗糙集的生成算法原理;最后,逆向研究直觉模糊知识粒的分解问题,证明了针对模糊知识粒度分解而提出的猜想。文章旨在对直觉模糊积粗糙集模型的分解与合成机制进行理论探索,为粗糙集理论的进一步扩展研究提供新的思路。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.

关 键 词：直觉模糊粗糙集 直觉模糊积等价关系 直觉模糊积近似空间 可分解模糊子集 可分解直觉模糊子集 知识粒 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]