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User-preferred solutions of fuzzy optimization problems―an application in choosing user-preferred inspection intervals

机译:模糊优化问题的用户首选解决方案-在选择用户首选检查间隔中的应用

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摘要

The paper deals with the problem of fuzzy optimization in presence of flexible constraints that describe user preferences. Fuzzy optimization procedure is used to find a certain reference value. Then, the set of admissible solutions that are in a certain sense indistinguishable from the best attainable reference value is calculated using the known from the theory of possibility concept of the Necessity of Strict Dominance index. Admissible solutions are evaluated and ranked using methods developed for solving the flexible constraint satisfaction problems. The proposed algorithm is applied for solving a practical problem of choosing a user-preferred inspection interval. This problem is often encountered in statistical quality control and reliability testing.
机译:本文讨论了在描述用户偏好的灵活约束条件下的模糊优化问题。采用模糊优化程序寻找一定的参考值。然后,使用从严格约束指数的必要性的可能性理论中已知的方法,计算出在一定意义上与最佳可达到参考值没有区别的一组可允许解。使用为解决柔性约束满足问题而开发的方法对可接受的解决方案进行评估和排名。所提出的算法被用于解决选择用户偏好的检查间隔的实际问题。统计质量控制和可靠性测试中经常遇到此问题。

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