| 直觉模糊内积空间和直觉模糊余内积空间 |
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| 引用本文： | 赵植武,苏晴,张成. 直觉模糊内积空间和直觉模糊余内积空间[J]. 辽宁师范大学学报(自然科学版), 2009, 32(3): 270-274 |
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| 作者姓名： | 赵植武 苏晴 张成 |
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| 作者单位： | 大连大学,信息工程学院,应用数学,辽宁,大连,116622 |
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| 基金项目： | 辽宁省教育厅科学技术研究项目，辽宁省自然科学基金资助项目 |
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| 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．
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| 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 |
On intuitionistic fuzzy inner product spaces and intuitionistic fuzzy co-inner product spaces |
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| ZHAO Zhi-wu,SU Qing,ZHANG Cheng. On intuitionistic fuzzy inner product spaces and intuitionistic fuzzy co-inner product spaces[J]. Journal of Liaoning Normal University(Natural Science Edition), 2009, 32(3): 270-274 |
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| Authors: | ZHAO Zhi-wu SU Qing ZHANG Cheng |
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| Affiliation: | (Applied Mathematics, Information Engineering College,Dalian University, Dalian 116622, China) |
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| Abstract: | 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. |
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| Keywords: | intuitionistic fuzzy sets intuitionistic fuzzy product spaces intuitionistic fuzzy co-inner product spaces |
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