PROMETHEE for prioritized criteria
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In most cases, PROMETHEE method just applies to traditional multicriteria decision making (MCDM) problems with independent criteria. However, there exist more or less interdependences among criteria in actual situations. A special case is MCDM with prioritizations among criteria, called prioritized MCDM. In recent years, how to deal with MCDM problems in the environment of prioritized criteria becomes hot topic increasingly. Lots of existing methods, especially some methods based on aggregated operators, are modified for the prioritized MCDM. However, up to now, PROMETHEE methods are not very mature when used into prioritized MCDM problems. Therefore, our purpose is to modify traditional PROMETHEE methods according to prioritized MCDM after considering the characteristics of both PROMETHEE methods and prioritized criteria. Firstly, preference information is not static any longer for prioritized criteria, so we design an approach to weight the criteria dynamically based on a new concept—preference expectations. Furthermore, an ordered weighted averaging operator is used to generate pseudo-criteria for the situation of weakly ordered prioritizations. In such a case, the situation of weakly ordered prioritizations is transformed into that of strictly ones. After quantifying preference information properly, we can then calculate aggregated preference indices which are important intermediate outcomes for PROMETHEE to rank alternatives. An example, for assessing the strategic status of islands and reefs, is taken to illustrate the practicability and feasibility of our method.
KeywordsDecision making Multicriteria Prioritization PROMETHEE Outranking method
This study was funded by the National Natural Science Foundation of China (Grant Nos. 71501186, 61702543, 61806221).
Compliance with ethical standards
Conflict of interest
Authors Xiuli Qi, Xiaohan Yu, Lei Wang, Xianglin Liao, Suojuan Zhang declare that they have no conflict of interest.
This article does not contain any studies with human participants or animals performed by any of the authors.
- Araz OU (2005) A simulation based multi-criteria scheduling approach of dual-resource constrained manufacturing systems with neural networks. In: Zhang S, Jarvis R (eds) AI 2005: advances in artificial intelligence—18th Australian joint conference on artificial intelligence, Sydney, Australia, December 5–9, 2005. Proceedings. Springer, Berlin, pp 1047–1052Google Scholar
- Brans JP (1982) L’ingénièrie de la décision; elaboration d’instruments d’aide à la décision. la méthode PROMETHEE. In: Nadeau R, Landry M (eds) L’aide à la décision: Nature, Instruments et Perspectives d’Avenir, Presses de l’Université Laval. Canada, Québec, pp 183–213Google Scholar
- Haq AN, Kannan G (2007) A hybrid normalised multi criteria decision making for the vendor selection in a supply chain model. Int J Manag Decis Mak 8(5/6):601–622Google Scholar
- O’Hagan M (1987) Fuzzy decision aids. In: Proceedings of 21st Asilomar conference on signal, systems and computers, vol II. IEEE and Maple Press, Pacific Grove, pp 624–628Google Scholar
- Sugeno M (1974) Theory of fuzzy integrals and its applications. PhD thesis, Tokyo Institute of TechnologyGoogle Scholar
- Wang YM (1998) Using the method of maximizing deviations to make decision for multi-indicies. J Syst Eng Electron 8(3):21–26Google Scholar
- Yager RR, Walker CL, Walker EA (2011) A prioritized measure for multi-criteria aggregation and its Shapley index. In: 2011 annual meeting of the North American Fuzzy Information Processing Society, pp 1–4. https://doi.org/10.1109/NAFIPS.2011.5751955
- Yu XH, Xu ZS, Ma Y (2013c) Prioritized multi-criteria decision making based on the idea of PROMETHEE. In: Shi Y, Xi Y, Wolcott P, Tian Y, Li J, Berg D, Chen Z, Herrera Viedma E, Kou G, Lee H, Peng Y, Yu L (eds) First international conference on information technology and quantitative management. Elsevier Science Bv, Procedia Computer Science, vol 17, pp 449–456. https://doi.org/10.1016/j.procs.2013.05.058 CrossRefGoogle Scholar