An interactive fuzzy satisficing method using augmented minimax problems and its application to environmental systems
An interactive fuzzy satisficing method using augmented minimax problems and its application to environmental systems
复制标题
使用增广极小极大问题的交互式模糊满足方法及其在环境系统中的应用
DOI：
10.1109/tsmc.1985.6313455
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发表时间：
1985
期刊：
影响因子：
--
通讯作者：
H. Yano
中科院分区：
文献类型：
--
作者：
M. Sakawa;H. Yano
针对多目标非线性规划问题，提出了一种新的交互式模糊满足方法。通过与DM的交互，DM的模糊目标通过引出相应的隶属函数而被量化。为了在确定隶属函数之后生成满足解（帕累托最优）的候选者，如果DM指定他/她的参考隶属值，则求解增广极大极小问题。因此，DM提供了相应的帕累托最优解连同隶属函数之间的权衡率。然后，通过考虑隶属函数的当前值以及权衡率，DM通过更新他/她的参考隶属度值来作用于该解决方案。根据该方法编制了分时计算机程序，实现了人机交互过程。一个工业污染控制问题的应用程序被证明。
A new interactive fuzzy satisficing method for multiobjective nonlinear programming is presented which considers that the decision-maker (DM) has fuzzy goals for each of the objective functions. Through the interaction with the DM, the fuzzy goals of the DM are quantified by eliciting corresponding membership functions. In order to generate a candidate for the satisficing solution (Pareto optimal) after determining the membership functions, if the DM specifies his/her reference membership values, the augmented minimax problem is solved. The DM is thus supplied with the corresponding Pareto optimal solution together with the tradeoff rates between the membership functions. Then by considering the current values of the membership functions as well as the tradeoff rates, the DM acts on this solution by updating his/her reference membership values. A time-sharing computer program is written to implement man-machine interactive procedures based on this method. An application to an industrial pollution control problem is demonstrated.
DOI：
10.2307/3323470
发表时间：
1985-01
期刊：
--
影响因子：
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作者：
Willi Hock;K. Schittkowski
通讯作者：
Willi Hock;K. Schittkowski