模糊偏好關係與AHP在實施先進製造技術(AMT)預測上之比較研究

Comparing Fuzzy Preference Relations and AHP Methods on Implementing the AMT Prediction

王天津(Tien-Chin Wang) ； 陳盈秀(Ying-Hsiu Chen)

《中華管理學報》 6卷3期 (2005/09) Pp. 61-72

https://doi.org/10.30053/CHJM.200509.0004

摘要

傳統AHP在方法上有一些缺失，例如：層級數增加，導致效率降低，不精確問題，以至於有不少改進或相關方法被提出。本研究採用模糊偏好關係(fuzzy preference relations, Fuzzy PreRa)將其應用於Yusuff等［19］提出的AMT實施的預測上。分析結果發現，使用Fuzzy PreRa方法與傳統AHP方法獲得的結果一樣，但在成對比較次數方面，七個評估項目，AHP法需比較21次，而Fuzzy PreRa方法僅需比較6次，大量減少了成對比較次數，能有效改善評估結果不一致的問題。因此，使用Fuzzy PreRa的方法從n-1次的成對比較中建立一致性的模糊偏好關係，有簡化成對比較次數，有效改善評估結果不一致的問題，且運算簡易等優點，具參考應用的價值。

關鍵字

模糊偏好關係 ； Fuzzy PreRa ； AHP

並列摘要

Owing to the fact that AHP method must perform very complicated pairwise comparison amongst elements (attributes or alternatives), and since it is difficult to obtain a convincing consistency index with an increasing number of attributes or alternatives. Consequently, this work applies the fuzzy preference relation (Fuzzy PreRa) to solve the problems of [19]. The analyzed prediction outcome obtained by Fuzzy PreRa almost coincides with that produced by the AHP method. Notably, the ratio of the pairwise comparison times of the priority weight for the seven influential factors between Fuzzy PreRa and AHP is 6:21, because Fuzzy PreRa uses simple reciprocal additive transitivity from a set of preference data. An approach that facilitates the computation procedures as well as boosts the effectiveness and consistency of implementing the AMT decision problems.

並列關鍵字

Fuzzy preference relations ； Fuzzy PreRa ； AHP