模糊规划问题模糊解的值界

Mingfa Zheng, Yian-Kui Liu
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引用次数: 4

摘要

本文研究模糊规划问题的模糊解值的精化界。本文首先给出了对期望值和(SPEV)、参考情景期望值(EVRS)和对期望值期望值(EPEV)的定义,得到了由路径问题解与参考方案期望值之差定义的模糊解(VFS)的值。此外,还给出了几个数值算例,以便具体解释这些定义。最后,研究了这些概念的性质,得到了模糊解值的细化界。
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Bounds on the Value of Fuzzy Solution to Fuzzy Programming Problem
The paper is concerned with finding the refined bounds on the value of fuzzy solution to fuzzy programming prob- lem. In this paper we first present the definitions which are the sum of pairs expected value (SPEV), the expected value of the reference scenario (EVRS)and the expectation of pairs expected value (EPEV), and obtain the value of fuzzy solution (VFS) defined by difference between the re- course problem solution and the expected value of reference solution. In addition, several numerical examples are also given in order to explain the definitions specifically. Finally, the properties concerning the concepts are studied, which result in refined bounds on the value of fuzzy solution.
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