| 直觉模糊子环及其同构 |
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| 引用本文： | 李娟,牛錡,张诚一.直觉模糊子环及其同构[J].模糊系统与数学,2009,23(2). |
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| 作者姓名： | 李娟 牛錡 张诚一 |
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| 作者单位： | 1. 海南师范大学,数学系,海南,海口,571158
2. 驻马店教育学院,数学系,河南,驻马店,463000 |
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| 基金项目： | 国家自然科学基金，海南省高校硕士研究生创新科研课题 |
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| 摘 要： | 利用既约集合套讨论了直觉模糊子环和直觉模糊理想的一些性质,并在两个经典环同态与同构意义下,定义了直觉模糊商环,商直觉模糊子环,以及直觉模糊子环的直和,并讨论了其相关性质.
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| 关 键 词： | 直觉模糊子环 直觉模糊理想 直觉模糊商环 商直觉模糊子环 既约集合套 |
Intuitionistic Fuzzy Subring and Its Isomorphism |
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| LI Juan,NIU Qi,ZHANG Cheng-yi.Intuitionistic Fuzzy Subring and Its Isomorphism[J].Fuzzy Systems and Mathematics,2009,23(2). |
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| Authors: | LI Juan NIU Qi ZHANG Cheng-yi |
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| Institution: | 1.Department of Mathematics;Hainan Normal University;Haikou 571158;China;2.Department of Mathematics;Zhumadian Education College;Zhumadian 463000;China |
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| Abstract: | In this paper,some properties of intuitionistic fuzzy subrings and intuitionistic fuzzy ideals are discussed by irreducible nested sets.And,in the sense of homomorphism and isomorphism between two classical rings,we define the concepts of the intuitionistic fuzzy quotient ring,quotient intuitionistic fuzzy subring and direct summation of intuitionistic fuzzy subrings,and some characters are discussed. |
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| Keywords: | Intuitionistic Fuzzy Subring Intuitionistic Fuzzy Ideal Intuitionistic Fuzzy Quotient Ring Quotient Intuitionistic Fuzzy Subring Irreducible Nested Set |
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