| 直觉模糊BCK-代数 |
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| 引用本文： | 彭家寅.直觉模糊BCK-代数[J].淮阴师范学院学报(自然科学版),2011,10(4):296-303. |
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| 作者姓名： | 彭家寅 |
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| 作者单位： | [1]四川省高等学校数值仿真重点实验室,四川内江641112;[2]内江师范学院数学与信息科学学院,四川内江641112 |
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| 基金项目： | 四川省科技厅重点资助项目(2006J13-035); 四川省教育厅重点实验室专项资助项目(2006ZD050) |
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| 摘 要： | 系统研究了作为Zadeh模糊理论重要扩展的Atanassov直觉模糊BCK-代数.首先,引入直觉模糊BCK-代数和它的水平代数的概念,讨论了它们相关性质.其次,研究了直觉模糊BCK-代数的同态与同构像和逆像的性质,获得了直觉模糊BCK-代数的同态像和逆像仍为直觉模糊BCK-代数.最后,给出了直觉模糊集上的直觉模糊关系、...
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| 关 键 词： | 直觉模糊集 直觉模糊BCK-代数 水平代数 直觉模糊关系 笛卡儿积 |
Intuitionisitic Fuzzy BCK-algebras |
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| PENG Jia-yin.Intuitionisitic Fuzzy BCK-algebras[J].Journal of Huaiyin Teachers College(Natrual Science Edition),2011,10(4):296-303. |
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| Authors: | PENG Jia-yin |
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| Institution: | PENG Jia-yin(1.Key Laboratory of Numerical Simulation of Sichuan Provice,Neijiang Sichuan 641112,China)(2.School of Mathematics and Information Science,Neijiang Normal University,China) |
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| Abstract: | The problems of intuitionistic fuzzy BCK-algebras on intuitionisitic fuzzy sets by Atanassov,which is a significant extension of fuzzy set theory by Zadeh,are systemically investigated.At first,the notions of intuitionistic fuzzy BCK-algebras and its level algebras are introduced,and their properties are discussed.The next,some properties of the homomorphic(isomorphic) image and inverse image of intuitionistic fuzzy BCK-algebras are studied,it is obtained that the homomorphic(isomorphic) image and inverse i... |
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| Keywords: | intuitionisitic fuzzy set intuitionistic fuzzy BCK-algebra level algebra intuitionistic fuzzy relation Cartesian product |
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