直觉模糊决策系统的知识约简  

Knowledge Reduction of Intuitionistic Fuzzy Decision System

作　　者：张炜 王加阳[1] 帅勇 龙陈锋[2] ZHANG Wei;WANG Jiayang;SHUAI Yong;LONG Chenfeng(School of Information Science and Engineering,Central South University,Changsha 410006,China;School of Information Science and Technology,Hunan Agricultural University,Changsha 410128,China)

机构地区：[1]中南大学信息科学与工程学院,长沙410006 [2]湖南农业大学信息科学技术学院,长沙410128

出　　处：《计算机科学与探索》2019年第7期1145-1153,共9页Journal of Frontiers of Computer Science and Technology

基　　金：国家自然科学基金No.61772031;长沙市2017年节能专项基金项目;湖南省教育厅优秀青年项目No.12B061;湖南省长株潭国家自主创新示范区专项No.2017XK2054~~

摘　　要：决策系统可划分为协调决策系统和不协调决策系统,两种系统的约简通常不一致。首先介绍相对约简、相对信任约简和相对似然约简的基本概念,并给出直觉模糊粗糙集具有数值特征的充分不必要条件,即上、下近似算子具有可加性和可乘性。然后分析决策系统的一致性,当为协调决策系统时,直觉模糊决策系统的相对约简、相对信任约简和相对似然约简三者等价;当为不协调决策系统时,在广义决策优势关系下,不协调决策系统的约简与协调决策系统等价。通过上述研究,进一步完善了直觉模糊粗糙集决策系统约简的研究。The decision system can be divided into coordinated decision system and uncoordinated decision system. Generally, the reductions of these two kinds of systems are inconsistent. This paper first introduces the basic concepts of relative reduction, relative belief reduction and relative plausibility reduction, and then sufficient unnecessary conditions of intuitionistic fuzzy rough sets with numerical characteristics are given. It is proven that the upper and lower approximation operators are additive and multiplicative. Then, the consistency of the decision system is analyzed. It turns out that relative reduction, relative belief reduction and relative plausibility reduction are equivalent when the decision system is consistent;when the decision system is inconsistent, the reduction of the inconsistent decision system is equivalent to the consistent decision system under the generalized decision advantage relationship. Based on the analysis, the research on the reduction of the intuitionistic fuzzy rough set decision system is further perfected.

关 键 词：直觉模糊 证据理论 知识约简 决策系统 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]