Abstract
To solve a multi-criteria decision-making problem, many attempts have been made to alleviate difficulties of obtaining precise preference information attributed to time pressure, lack of data and domain knowledge, limited attention and information processing capabilities, etc. Structuring any decision problem hierarchically is known to be an efficient way of dealing with complexity and identifying the major components of the problem. In this paper, we propose the hierarchical VIKOR method that uses incomplete alternatives’ values as well as incomplete criteria weights, extending previous works that consider mostly intervals or fuzzy under a flat structure of criteria. It ranks alternatives using the aggregated scores of group utility and individual regret scores which are computed from the linear programs. To show how to use our proposed method, we exemplified an international supplier selection problem that affects the organization’s sustainable growth.
Highlights
Multi-criteria decision-making (MCDM) methods provide an effective means of assisting decision-makers to select the best alternative under various criteria
Incomplete information has been widely-used in MCDM problems because of the diverse difficulties the decision might need to be made under lack of time, the decision-maker might not want to provide precise data, or the decision-maker might have a limited scope of information [1,2]
The incomplete information has been widely-used in MCDM problems because of various difficulties associated with information acquisition the decision might need to be made under lack of time, the decision-maker might not want to provide precise data, or the decision-maker might have limited scope of information [1,2]
Summary
Multi-criteria decision-making (MCDM) methods provide an effective means of assisting decision-makers to select the best alternative under various criteria. Kim and Ahn [34] proposed the VIKOR method using incomplete criteria weights under the flat structure of criteria weights They provided new insights that shed light on the relationship between the VIKOR and the decision-making under uncertainty (DMUU) method. We propose a new VIKOR method that makes use of incomplete alternatives’ values, as well as incomplete criteria weights in the hierarchically structured problem. A number of studies [27,36,37,38,39,40], entitled the VIKOR with fuzzy AHP, are found in the literature on the VIKOR, but they use the hierarchical structure for determining the criteria weights and apply the classical VIKOR method to aggregate the scores. We present an information processing procedure under our hierarchical VIKOR method incorporated by incomplete alternatives’ values as well as incomplete criteria weights.
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