| 区间数线性规划的一种新解 |
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| 引用本文： | 史加荣,刘三阳,熊文涛. 区间数线性规划的一种新解[J]. 系统工程理论与实践, 2005, 25(2): 101-106. DOI: 10.12011/1000-6788(2005)2-101 |
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| 作者姓名： | 史加荣 刘三阳 熊文涛 |
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| 作者单位： | (1)西安建筑科技大学理学院;(2)西安电子科技大学理学院 |
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| 基金项目： | 教育部跨世纪优秀人才基金资助 |
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| 摘 要： | 基于区间数两两比较的可能度,提出了区间数线性规划的可能有效解和可能弱有效解的定义. 利用极大极小算子来求区间数线性规划的可能弱有效解,并建立了一种求多组弱有效解的模型.给出了 求可能有效解的方法,并对区间数线性规划进行拓展.数值例子验证了该法的有效性和可行性.
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| 关 键 词： | 区间数线性规划 可能度 可能有效解 极大极小算子 |
| 文章编号： | 1000-6788(2005)02-0101-06 |
| 修稿时间： | 2004-02-19 |
A New Solution for Interval Number Linear Programming |
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| SHI Jia-rong,LIU San-yang,XIONG Wen-tao. A New Solution for Interval Number Linear Programming[J]. Systems Engineering —Theory & Practice, 2005, 25(2): 101-106. DOI: 10.12011/1000-6788(2005)2-101 |
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| Authors: | SHI Jia-rong LIU San-yang XIONG Wen-tao |
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| Affiliation: | (1)School of Science; Xi'an University of Architecture & Technology;(2)School of Science, Xidian University |
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| Abstract: | By introducing the possibility degree formula for the comparison between two interval numbers, the concepts of the possible effective solution and the possible weak effective solution are presented. Max-min operator is employed to obtain the possible weak effective solution and a model is constructed for obtaining many possible weak effective solutions. An approach to obtaining possible effective solution is proposed and an extension of interval number linear programming is given. A numerical example is shown to demonstrate the effectiveness and feasibility of the technique. |
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| Keywords: | interval number linear programming possibility degree possible effective solution max-min operater |
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