Designing a Multiple Attribute Decision Making Problem with Fuzzy Data

模糊多屬性決策問題的最佳化設計

田祖武(Tsu-Wu Tien) ； 於鴻福(Hong-Fwu Yu) ； 周建新(Jian-Hsin Chou)

《工業工程學刊》 21卷3期 (2004/05) Pp. 282-288

https://doi.org/10.29977/JCIIE.200405.0008

摘要

多屬性決策(multiple attribute decision making; MADM)問題常於日常生活的各個層面中所遇見，其目的即是要在一些具有多個但時常都彼此衝突之屬性(attribute)的方案(alternative)中，挑選出最佳的方案。有時，各屬性的成效値(performance rating)並無法很精確的加以評估，因爲其中可能會牽涉到人類行爲的主觀性與不確定性。一種建構此種不確定性模型的補救措施，即是採用模糊資料(fuzzy data)。有別於現有之模糊MADM中的相關研究，本文之主要目的，即是要針對決策者的喜好度資訊（亦即各屬性的權重）已知的情形，探討具有模糊資料之MADM問題的最佳方案選取的效率問題。首先，我們提出一具有直觀優點的選取準則；其次，在一最小之正確選取機率的要求下，我們極小化資料搜集的總成本，以決定MADM問題的最佳設計（亦即，各屬性成效值的最佳數量）。本文亦提供一範例，以說明所提出的方法與程序。

關鍵字

多屬性決策 ； 屬性的權重 ； 最小正確選取機率 ； 最佳設計

並列摘要

Multiple Attribute Decision Making (MADM) problems are commonly encountered in everyday aspect of life. They aim at selecting the optimal alternative among some courses of action in the presence of multiple, usually conflicting, attributes. It is not surprising that, at times, the performance rating cannot be assessed precisely. It may be represent the subjectivity and/or imprecision in human behavior. A remedial means for modeling such uncertainty is the utilization of fuzzy data. Differing from the existing studies in the area of fuzzy MADM, the main purpose of this paper is concerned with the problem of how to efficiently select the optimal alternative for an MADM problem with fuzzy data, where the decision-maker's preference information (i.e., the attributes' weights) is completely known. First, an intuitively appealing selection rule is proposed. Next, under a minimum probability of correct selection of the proposed selection rule, the optimal design (i.e., the number of the values of attributes for each alternative) is obtained by minimizing the total cost of collecting data. A numerical example is provided to illustrate the proposed method.

並列關鍵字

multiple attritute decision making ； weights ； minimal probability of correct selection ； optimal design

參考文獻

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