| 基于树的最小乘积模糊集代数 |
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| 引用本文： | 王泽文,舒兰,翁福利. 基于树的最小乘积模糊集代数[J]. 模糊系统与数学, 2012, 26(2): 76-80 |
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| 作者姓名： | 王泽文 舒兰 翁福利 |
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| 作者单位： | 电子科技大学数学科学学院,四川成都,611731 |
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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： | 给出Σ-代数、Σ-树和Σ-树函数的定义.引入了最小乘积模糊集代数,以此研究了一类特定形式的Σ-树.讨论了线性正规等式下的等价类的封闭性,证明了Σ-运算满足分配律并具有保序性.
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| 关 键 词： | 树 模糊集 模糊集代数 模糊树自动机 |
The Minimum Product Algebra of Fuzzy Set Based on Tree |
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| WANG Ze-wen , SHU Lan , WENG Fu-li. The Minimum Product Algebra of Fuzzy Set Based on Tree[J]. Fuzzy Systems and Mathematics, 2012, 26(2): 76-80 |
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| Authors: | WANG Ze-wen SHU Lan WENG Fu-li |
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| Affiliation: | (School of Mathematical Science,University of Electronic Science and Technology of China,Chengdu 611731,China) |
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| Abstract: | The notions of Σ-algebra,Σ-tree and Σ-tree function are given.The minimum product algebras of fuzzy sets are introduced and a specific form of Σ-tree is studied.The closure properties of the equational classes defined by linear regular equations are illustrated,all Σ-operations verify distributivity law and possess order-preserving property are proved. |
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| Keywords: | Tree Fuzzy Set Algebra of Fuzzy Set Fuzzy Tree Automata |
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