| 基于L^＊-格值逻辑上的直觉不分明化环 |
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| 引用本文： | 王森,张广济.基于L^＊-格值逻辑上的直觉不分明化环[J].大连大学学报,2009,30(3):10-12. |
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| 作者姓名： | 王森 张广济 |
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| 作者单位： | 大连大学信息工程学院,辽宁大连,116622 |
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| 摘 要： | 首先在L^＊-格值逻辑的语义框架下，以L^＊-格值上的Lukasiewicz蕴涵算子为工具，给出了L^＊-格值逻辑上的直觉不分明化环和子环的概念。进一步，在L^＊-格值谓词演算下，给出了环的同态映射f关于直觉模糊集A的直觉不分明化同态核和直觉不分明化商集的定义，并在此基础上讨论了直觉不分明化环、子环和同态核的有关性质，最后得到L^＊-格值逻辑意义下的同态基本定理。
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| 关 键 词： | L^＊-格值 Lukasiewicz蕴涵算子 直觉不分明化环 |
Intuitionistic Fuzzifying Rings Based on L~*-Lattice Valued Logic |
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| WANG Sen,ZHANG Guang-ji.Intuitionistic Fuzzifying Rings Based on L~*-Lattice Valued Logic[J].Journal of Dalian University,2009,30(3):10-12. |
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| Authors: | WANG Sen ZHANG Guang-ji |
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| Institution: | WANG Sen,ZHANG Guang-ji(College of Information Engineering,Dalian University,Dalian 116622 China) |
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| Abstract: | Under the L*-lattice valued logic frame,the intuitionistic fuzzifying ring and subring based on L*-lattice valued logic are defined by means of Lukasiewicz implication operator on L*-lattice value.Furthermore,the intuitionistic fuzzifying homomorphic kernel and quotient set of homomorphic mapabout the intuitionistic fuzzifying set A are described on L*-lattice valued predicate logic,and the properties of the intuitionistic fuzzifying ring,subring and homomorphic kernel are discussed on the basis of these de... |
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| Keywords: | L*-lattice valued logic Lukasiewicz implication operator intuitonistic fuzzifying rings |
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