工程数学学报
工程數學學報
공정수학학보
CHINESE JOURNAL OF ENGINEERING MATHEMATICS
2013年
5期
683-694
,共12页
Vague集%模糊近似空间%粗糙近似
Vague集%模糊近似空間%粗糙近似
Vague집%모호근사공간%조조근사
Vague set%the fuzzy approximation space%rough approximation
考虑到具体的博弈、利益团体投票或决策过程中,Vague集的表示往往受到决策者历史知识、感性判断等因素的限制,本文借助于模糊逻辑非门算子,对经典Vague集中隶属度与非隶属度之间的关系进行了改进,提出了广义Vague集的概念。利用三角模和三角余模,建立了模糊近似空间中广义Vague集的粗糙近似,定义和讨论了模糊近似空间中广义Vague集的粗糙度度量方法。最后给出了算例。
攷慮到具體的博弈、利益糰體投票或決策過程中,Vague集的錶示往往受到決策者歷史知識、感性判斷等因素的限製,本文藉助于模糊邏輯非門算子,對經典Vague集中隸屬度與非隸屬度之間的關繫進行瞭改進,提齣瞭廣義Vague集的概唸。利用三角模和三角餘模,建立瞭模糊近似空間中廣義Vague集的粗糙近似,定義和討論瞭模糊近似空間中廣義Vague集的粗糙度度量方法。最後給齣瞭算例。
고필도구체적박혁、이익단체투표혹결책과정중,Vague집적표시왕왕수도결책자역사지식、감성판단등인소적한제,본문차조우모호라집비문산자,대경전Vague집중대속도여비대속도지간적관계진행료개진,제출료엄의Vague집적개념。이용삼각모화삼각여모,건립료모호근사공간중엄의Vague집적조조근사,정의화토론료모호근사공간중엄의Vague집적조조도도량방법。최후급출료산례。
Since Vague sets’ representation is always restricted by the policy makers’ historical knowledge, perceptual judgement and other factors in the game playing, benefit groups’ voting or decision making process, we improve the relationship between the membership and the non-membership degree for the vague sets, and define the generalized vague sets by means of the fuzzy logic non-portal operators in this paper. Meanwhile, by applying the triangular norms and conforms, we establish the generalized vague sets theory in the fuzzy approximation spaces. In addition, we discuss the roughness measure methods of the generalized vague sets. Finally, we prensent a numerical example.