UG集与Vague集的内在联系  

The intrinsic relation between UG set and Vague set

作　　者：王清印[1] 吕瑞华[1] 

机构地区：[1]河北经贸大学不确定性系统研究所,石家庄050091

出　　处：《华中科技大学学报（自然科学版）》2005年第7期115-118,共4页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(70271006);河北省科学技术与发展规划资助项目(200202006).

摘　　要：在剖析UG集与Vague集概念内涵基础上,揭示了它们之间的区别与联系;Vague集利用闭区间[0,1]描述了所研究事物与客观标准的“同、反、非”现象;UG集利用闭区间[-1,1]描述了所研究事物与客观标准的“反、非、同、异”现象;可知UG集的内涵比Vague集的内涵更深刻;用Vague集描述的事物可用UG集描述.于是可用UG集求解问题的方法求解Vague集所能解决的问题;并通过多目标决策例子探讨了用UG集合理论所能解决的问题的具体方法,为拓展UG集的应用前景开拓了新路.Discussing the connotations of the UG set and Vague set, this paper has found intrinsic relation between them, and verified their validity to be very good in the demonstration example of multiple objective decision-making. “Identical” or “opposite” or “not” phenomenon existing between researched things and objective standards are described with Vague set in [0,1]. “Identical” or “opposite” or “not” or “differential” phenomenon between researched things and objective standards are described with UG set in [-1,1]. It is known that the content of UG set is deeper than the content of Vague set. The phenomenon to describe with Vague set can be described with the UG set. Based on the intrinsic relation between UG set and Vague set, the problem to solve with Vague set can be solved with the UG set. The application of Vague set can be researched further with UG set theory, being a new way to develop the application of UG set.

关 键 词：UG集 VAGUE集 内在联系 

分 类 号：N941.5[自然科学总论—系统科学]