| i-v Fuzzy集的格序结构 |
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| 引用本文： | 周亚兰.i-v Fuzzy集的格序结构[J].新乡学院学报(自然科学版),2013(4):241-242,245. |
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| 作者姓名： | 周亚兰 |
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| 作者单位： | 陕西理工学院数学与计算机科学学院,陕西汉中723000 |
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| 摘 要： | 在i-vFuzzy集上引入了顺序和运算,并证明了任一非空集X上的一切i-vFuzzy集的全体F(X)i-v构成一完备的完全分配格,且关于引入的对合运算构成一Fuzzy格.
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| 关 键 词： | Fuzzy集 i-v Fuzzy集 完备格 完全分配格 Fuzzy格 |
Lattice Ordered Structure of i-v Fuzzy Sets |
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| Authors: | ZHOU Ya-lan |
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| Institution: | ZHOU Ya-lan (School of Mathematics and Computer Science, Shanxi University of Technology, Hanzhong 723000, China) |
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| Abstract: | Order and operation are introduced into i-v Fuzzy sets. It is proved that all i-v Fuzzy sets of any nonempty sets X, F（X）i-v composes a complete distributive lattice, and involution operation inductive composes a Fuzzy lattice. |
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| Keywords: | Fuzzy sets i-v Fuzzy sets complete lattice complete distributive lattice Fuzzy lattice |
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