具有简单资源的交互式模糊多目标随机规划

Q4 Business, Management and Accounting
M. Sakawa, T. Matsui
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引用次数: 7

摘要

研究了约束条件下包含随机变量的多目标线性规划问题。利用简单追索的概念,将公式化的具有简单追索的多目标随机规划问题转化为确定性问题。考虑到决策者判断的模糊性,提出了交互式模糊规划。该方法在确定决策者的模糊目标后,通过更新参考隶属度,有效地推导出决策者的满意解。还考虑了整数规划的扩展。算例说明了该方法的可行性和有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Interactive fuzzy multiobjective stochastic programming with simple recourse
This paper considers multiobjective linear programming problems involving random variables in constraints. Using the concept of simple recourse, the formulated multiobjective stochastic programming problems with simple recourse are transformed into deterministic ones. Taking into account vagueness of judgments of the decision maker, interactive fuzzy programming is presented. In the proposed method, after determining the fuzzy goals of the decision maker, a satisficing solution for the decision maker is derived efficiently by updating the reference membership levels. Extensions to integer programming are also considered. An illustrative numerical example is provided to demonstrate the feasibility and efficiency of the proposed method.
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来源期刊
International Journal of Multicriteria Decision Making
International Journal of Multicriteria Decision Making Business, Management and Accounting-Strategy and Management
CiteScore
0.70
自引率
0.00%
发文量
9
期刊介绍: IJMCDM is a scholarly journal that publishes high quality research contributing to the theory and practice of decision making in ill-structured problems involving multiple criteria, goals and objectives. The journal publishes papers concerning all aspects of multicriteria decision making (MCDM), including theoretical studies, empirical investigations, comparisons and real-world applications. Papers exploring the connections with other disciplines in operations research and management science are particularly welcome. Topics covered include: -Artificial intelligence, evolutionary computation, soft computing in MCDM -Conjoint/performance measurement -Decision making under uncertainty -Disaggregation analysis, preference learning/elicitation -Group decision making, multicriteria games -Multi-attribute utility/value theory -Multi-criteria decision support systems and knowledge-based systems -Multi-objective mathematical programming -Outranking relations theory -Preference modelling -Problem structuring with multiple criteria -Risk analysis/modelling, sensitivity/robustness analysis -Social choice models -Theoretical foundations of MCDM, rough set theory -Innovative applied research in relevant fields
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