| 求解具有max-t-norm合成算子的模糊关系不等式 |
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| 引用本文： | 郭方芳,李小卫,孟丹,曹会敏. 求解具有max-t-norm合成算子的模糊关系不等式[J]. 模糊系统与数学, 2011, 25(3): 86-93 |
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| 作者姓名： | 郭方芳 李小卫 孟丹 曹会敏 |
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| 作者单位： | 1. 大连理工大学数学科学学院,辽宁大连,116024
2. 西南财经大学经济信息工程学院,四川成都,610074 |
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| 基金项目： | 中央高校基本科研业务费专项资金资助项目; 大连理工大学理学基金资助项目; 青年教师培养基金资助项目 |
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| 摘 要： | 研究一类具有max-t-norm合成算子的模糊关系不等式,该问题是模糊关系方程以及区间值模糊关系方程的推广.通过分析其解集的特点,提出一个基于筛选原则求解该类问题的算法,并给出数值算例说明该算法的有效性.
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| 关 键 词： | 模糊关系不等式 max-t-norm 最大解 极小解 |
An Algorithm for Solving Fuzzy Relation Inequality Systems with max-t-norm Composition |
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| GUO Fang-fang,LI Xiao-wei,MENG Dan,CAO Hui-min. An Algorithm for Solving Fuzzy Relation Inequality Systems with max-t-norm Composition[J]. Fuzzy Systems and Mathematics, 2011, 25(3): 86-93 |
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| Authors: | GUO Fang-fang LI Xiao-wei MENG Dan CAO Hui-min |
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| Affiliation: | GUO Fang-fang1,LI Xiao-wei1,MENG Dan2,CAO Hui-min1(1.School of Mathematics Sciences,Dalian University of Technology,Daian 116024,China,2.School of Economics Information Engineering,Southwestern Univ.of Finance and Economics,Chengdu 610074,China) |
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| Abstract: | This paper studies a class of fuzzy relation inequality systems with max-t-norm composition which is the generalization of fuzzy relation equations.According to the characterization of the solution set,an algorithm for solving the problems is given based on the deleting principles proposed in the paper.Some numerical examples are presented in the last section for illustrating the efficiency of the algorithm. |
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| Keywords: | Fuzzy Relation Inequality Systems Max-t-norm Maximal Solution Minimal Solutions |
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