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Extreme point-based multi-attribute decision analysis with incomplete information

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  • Ahn, Byeong Seok

Abstract

In this paper, we present a simple method for finding the extreme points of various types of incomplete attribute weights. Incomplete information about attribute weights is transformed by a sequence of change of variables to a set whose extreme points are readily found. This enhanced method fails to derive the extreme points of every type of incomplete attribute weights. Nevertheless, it provides us with a flexible method for finding the extreme points, including widely-used forms of incomplete attribute weights. Finally, incomplete attribute values, expressed in various forms, are also analyzed to find their characterizing extreme points by applying similar procedures carried out in the incomplete attribute weights.

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  • Ahn, Byeong Seok, 2015. "Extreme point-based multi-attribute decision analysis with incomplete information," European Journal of Operational Research, Elsevier, vol. 240(3), pages 748-755.
    • Handle: RePEc:eee:ejores:v:240:y:2015:i:3:p:748-755
    DOI: 10.1016/j.ejor.2014.07.037
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    Cited by:

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    3. Ahn, Byeong Seok, 2017. "Approximate weighting method for multiattribute decision problems with imprecise parameters," Omega, Elsevier, vol. 72(C), pages 87-95.
    4. Ahn, Byeong Seok, 2017. "The analytic hierarchy process with interval preference statements," Omega, Elsevier, vol. 67(C), pages 177-185.
    5. Li-zhu Yue & Jia-wei Zhang & Yue Lv, 2024. "Pyramid-Shaped Indicators: Evaluating the Robustness of Scheme Comparisons Under Weight Uncertainty," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 174(2), pages 631-656, September.
    6. Liu, Bingsheng & Shen, Yinghua & Zhang, Wei & Chen, Xiaohong & Wang, Xueqing, 2015. "An interval-valued intuitionistic fuzzy principal component analysis model-based method for complex multi-attribute large-group decision-making," European Journal of Operational Research, Elsevier, vol. 245(1), pages 209-225.
    7. Jianwei Gao & Huihui Liu, 2017. "Generalized Ordered Weighted Reference Dependent Utility Aggregation Operators and Their Applications to Group Decision-Making," Group Decision and Negotiation, Springer, vol. 26(6), pages 1173-1207, November.

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