| 直觉模糊变换半群 |
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| 引用本文： | 翁福利,舒兰,石慧.直觉模糊变换半群[J].数学的实践与认识,2011,41(19). |
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| 作者姓名： | 翁福利 舒兰 石慧 |
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| 作者单位： | 1. 电子科技大学数学科学学院,四川成都,611731
2. 成都理工大学信息管理学院,四川成都,610059 |
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| 基金项目： | 国家自然科学基金(11071178) |
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| 摘 要： | 首先定义了直觉模糊变换半群的概念,给出了一种特殊的直觉模糊变换半群.其次,引入了直觉模糊变换半群上的直觉容许关系,讨论了两个直觉模糊变换半群间的关系,为直觉模糊有限自动机进一步的理论研究提供了代数方法.
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| 关 键 词： | 直觉模糊有限自动机 直觉模糊变换半群 同余关系 同态 同构 |
Intuitionistic Fuzzy Transformation Semigroups |
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| WENG Fu-li,SHU Lan,SHI Hui.Intuitionistic Fuzzy Transformation Semigroups[J].Mathematics in Practice and Theory,2011,41(19). |
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| Authors: | WENG Fu-li SHU Lan SHI Hui |
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| Institution: | WENG Fu-li~1,SHU Lan~1,SHI Hui~2 (1.School of Mathematical Sciences,University of Electronic Science and Technology of China,Chengdu 611731,China) (2.College of Information Management,Chengdu University of Technology,Chengdu 610059,China) |
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| Abstract: | First,the concept of intuitionistic fuzzy transformation semigroups is defined,and a special kind of intuitionistic fuzzy transformation semigroups given.Second,an intuitionistic admissible relation on intuitionistic fuzzy transformation semigroups is given.The relationship beteween two intuitionistic fuzzy transformation semigroups is discussed.It provides an algebraic method for intuitionistic fuzzy finite automaton further theoretical research. |
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| Keywords: | intuitionistic fuzzy finite state machine intuitionistic fuzzy transformation semigroups congruence relation homomorphism isomorphism |
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