直觉权与直觉模糊子群之间的关系  

The relation between intuitionistic weight and intuitionistic fuzzy subgroup

作　　者：付云鹏[1] 王利香[2] 袁学海 FU Yunpeng;WANG Lixiang;YUAN Xuehai(School of Economics,Liaoning University,Shenyang 110036,China;School of Mathematics and Information Science,Weifang College,Weifang 261061,China;School of Control Science and Engineering,Dalian University of Technology,Dalian 116024,China)

机构地区：[1]辽宁大学经济学院,辽宁沈阳110036 [2]潍坊学院数学与信息科学学院,山东潍坊261061 [3]大连理工大学电子信息与电气工程学部,辽宁大连116024

出　　处：《安徽大学学报（自然科学版）》2018年第4期40-44,共5页Journal of Anhui University(Natural Science Edition)

基　　金：国家社会科学基金资助项目(13CRK027);辽宁省社会科学规划基金项目(L17BTJ001);潍坊学院青年项目(2014Z09);省社科联2016年度辽宁经济社会发展立项课题(2016LSLKTZIJJX-23)

摘　　要：通过提出直觉权的概念,阐述了直觉模糊子群可以通过直觉权来刻画,给出应用直觉权来刻画直觉模糊子群的具体方法,证明了:任一个直觉权可以确定一个直觉模糊子群,任一个直觉模糊子群可以确定一个直觉权,并且直觉权与直觉模糊子群之间存在一一对应的关系.Intuitionistic weight was introduced in the paper. Intuitionistic fuzzy subgroup can be characterized by making use of intuitionistic weight and the method was given. Furthermore, we have given a concrete description of using the notion of intuitionistic weight.We have proved that intuitionistic weight can describe intuitionistic fuzzy subgroup, and on the contrary, intuitionistic fuzzy subgroup also can describe intuitionistic weight. In the end, we discussed the one to one relation between intuitionistic weight and intuitionistic fuzzy subgroup.

关 键 词：直觉权 模糊子群 直觉模糊子群 

分 类 号：O159[理学—数学]