期刊
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
卷 239, 期 3, 页码 794-801出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.ejor.2014.06.019
关键词
Linear programming; Analytic hierarchy process (AHP); Group decision making (GDM); Hesitant judgment; Hesitant multiplicative preference relation (HMPR)
资金
- National Natural Science Foundation of China [61273209]
- Fundamental Research Funds for the Central Universities [CXZZ12_0132]
- excellent Ph.D. thesis Foundation of Southeast University
- excellent Ph.D. thesis Engagement Foundation of Southeast University
- Best New Ph.D. Foundation of China
In this paper, we consider that the judgments provided by the decision makers (DMs) cannot be aggregated and revised, then define them as hesitant judgments to describe the hesitancy experienced by the DMs in decision making. If there exist hesitant judgments in analytic hierarchy process-group decision making (AHP-GDM), then we call it AHP-hesitant group decision making (AHP-HGDM) as an extension of AHP-GDM. Based on hesitant multiplicative preference relations (HMPRs) to collect the hesitant judgments, we develop a hesitant multiplicative programming method (HMPM) as a new prioritization method to derive ratio-scale priorities from HMPRs. The HMPM is discussed in detail with examples to show its advantages and characteristics. The practicality and effectiveness of our methods are illustrated by an example of the water conservancy in China. (C) 2014 Elsevier B.V. All rights reserved.
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