直觉模糊内积空间和直觉模糊余内积空间  

On intuitionistic fuzzy inner product spaces and intuitionistic fuzzy co-inner product spaces

作　　者：赵植武[1] 苏晴[1] 张成[1] 

机构地区：[1]大连大学信息工程学院应用数学,辽宁大连116622

出　　处：《辽宁师范大学学报（自然科学版）》2009年第3期270-274,共5页Journal of Liaoning Normal University:Natural Science Edition

基　　金：辽宁省教育厅科学技术研究项目(20060073);辽宁省自然科学基金资助项目(20052146)

摘　　要：文[1]在模糊子域、模糊线性空间理论的基础上,给出了模糊内积空间、模糊范数、模糊余内积空间、模糊余范数等概念及其对应的性质.在文[1]的基础上,笔者结合直觉模糊集的相关理论,以模糊内积空间和模糊余内积空间理论为依托,将模糊内积空间及模糊余内积空间理论推广到直觉模糊集的情形,定义了直觉模糊内积空间与直觉模糊余内积空间,相应给出了直觉模糊子域、直觉模糊线性空间、直觉模糊范数、直觉模糊余范数等概念,并讨论了相应的性质.Based on the theory of fuzzy subfield and fuzzy linear space, the notions of fuzzy inner product space, fuzzy norm, fuzzy co-inner product space, fuzzy co-norm, etc. , and corresponding properties were given in the paper [1]. On the basis of the above paper, the theory of fuzzy inner product space and fuzzy co--inner product space is generalized to intuitionistic fuzzy sets. We define intuitionistic fuzzy inner product spaces and intuitionistic fuzzy co-inner product spaces, give the conceptions of intuitionistic fuzzy subfield, intuitionistic fuzzy linear space, intuitionistic fuzzy norm, intuitionistic fuzzy co-norm and discuss the corresponding properties.

关 键 词：直觉模糊集 直觉模糊内积空间 直觉模糊余内积空间 

分 类 号：O159[理学—数学]