An integrated approach for assessing criterion importance with interval type-2 fuzzy sets and signed distances

Abstract

Considering the decision-maker's point of view and circumstances in the multiple criteria decision-making process, subjective judgments of criterion importance are inherently imprecise and involve many uncertainties. Interval type-2 fuzzy sets are associated with greater imprecision and more ambiguities than type-1 fuzzy sets. In the context of interval type-2 trapezoidal fuzzy numbers, this article presents an integrated approach to combine the objective and subjective importances of decision criteria. In addition, the concept of signed distances has been extended to develop a new method for acquiring objective importance values of criteria with interval type-2 fuzzy data. Finally, the feasibility of the proposed methods is illustrated by a practical example of landfill site selection.

在多準則決策環境下 ， 準則重要性之主觀判斷存在不精確與不確定性。相較於型一模糊集合 ， 區間型二模糊集合可處理更多不精確與模糊性問題 。 基於區間型二梯形模糊數之決策背景 ， 本研究提出一個整合準則主觀與客觀重要性的求解方法 。 而且 ， 本研究拓展符號距離之概念 ， 針對區間型二模糊資料 ， 發展準則之客觀重要性求解方法 。 最後 ， 本研究以掩埋場場址選擇問題為例說明研提方法之可行性與有效性。

(*聯絡人： [email protected])

Keywords:

• multiple criteria decision-making
• criterion importance
• interval type-2 fuzzy set
• interval type-2 trapezoidal fuzzy numbers
• signed distance

Keywords:

• 關鍵詞： 多評準決策 ； 準則重要性 ； 區間型二模糊集合 ； 區間型二梯形模糊數 ； 符號距離

Acknowledgements

The author is very grateful to the respectful editor and the anonymous referees for their insightful and constructive comments and suggestions to improve the overall quality of this study.

Notes

(*聯絡人： [email protected])