| R0-代数（NM-代数）的区间值模糊子代数 |
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| 引用本文： | 刘春辉,吴静.R0-代数（NM-代数）的区间值模糊子代数[J].模糊系统与数学,2012,26(3):77-84. |
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| 作者姓名： | 刘春辉 吴静 |
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| 作者单位： | 1. 赤峰学院数学与统计学院,内蒙古赤峰024001;赤峰学院教务处,内蒙古赤峰024001
2. 赤峰第四中学数学组,内蒙古赤峰,024001 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 将区间值模糊集的概念应用于R0-代数,引入区间值模糊R0-子代数的概念并研究它的性质。给出了区间值模糊集成为区间值模糊R0-子代数的一个充要条件;讨论了区间值模糊R0-子代数和R0-子代数之间的关系;定义了区间值模糊集的象和原象,获得了区间值模糊R0-子代数的象和原象成为区间值模糊R0-子代数的条件。
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| 关 键 词： | 模糊逻辑 R0-代数 模糊R0-子代数 区间值模糊集 区间值模糊R0-子代数 |
Interval Valued Fuzzy Subalgebras of R0-algebras (NM-algebras) |
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| LIU Chun-hui
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WU Jing.Interval Valued Fuzzy Subalgebras of R0-algebras (NM-algebras)[J].Fuzzy Systems and Mathematics,2012,26(3):77-84. |
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| Authors: | LIU Chun-hui WU Jing |
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| Institution: | 1.Department of Mathematics and Statistics,Chifeng University,Chifeng 024001,China;2.Dean’s Office of Chifeng University,Chifeng 024001,China;3.Group of Mathematics,No.4 Middle School,Chifeng 024001,China) |
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| Abstract: | In this paper,we apply the concept of interval valued fuzzy sets to R0-algebras,introduced the notion of interval valued fuzzy R0-subalgebras and discussed their properties.A sufficient and necessary condition for an interval valued fuzzy set to interval valued fuzzy R0-subalgebra is given;The relation between interval valued fuzzy R0-subalgebras and R0-subalgebras is discussed.The images and inverse images of interval valued fuzzy sets are defined,and the conditions for the images and inverse images of interval valued fuzzy R0-subalgebras to be interval valued fuzzy R0-subalgebras are obtained. |
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| Keywords: | Fuzzy Logic R0-algebras Fuzzy R0-subalgebras Interval Valued Fuzzy Sets Interval Valued Fuzzy R0-subalgebras |
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