PromChoq: A Multicriteria Decision Aid Method for Actions Ranking

Ranking available actions or alternatives with respect to multiple, often conflicting criteria is a problem of a major interest in information and engineering. Methodologies for addressing this problem have been developed from a variety of research disciplines. An investigation of existing methods shows that most existing methods suffer various drawbacks. These shortcomings include the non consideration of interactions or dependencies between criteria. To avoid it, we present in this paper, a multicriteria decision aid method for alternatives ranking called PromChoq. PromChoq is based on Promethee method, a well known multicriteria outranking method. To consider interaction between criteria, we introduce Choquet integral and -fuzzy measure. In order to facilitate to decision maker using PromChoq, we developed a tool which supports its main concepts. Finally, to exploit our contribution and to show its effectiveness, an empirical study of a real selection problem (teacher’s selection in recruitment test) in the University of Tebessa in Algeria is presented.

[1]  Akbar Esfahanipour,et al.  Decision making in stock trading: An application of PROMETHEE , 2007, Eur. J. Oper. Res..

[2]  P. Vincke,et al.  Note-A Preference Ranking Organisation Method: The PROMETHEE Method for Multiple Criteria Decision-Making , 1985 .

[3]  Elisabeth Rakus-Andersson,et al.  The Choquet and Sugeno Integrals as Measures of Total Effectiveness of Medicines , 2007, IFSA.

[4]  Luis A. García,et al.  Comparison of different multicriteria evaluation methods for the Red Bluff diversion dam , 2000, Environ. Model. Softw..

[5]  BenayounR.,et al.  Linear programming with multiple objective functions , 1971 .

[6]  B. Roy Méthodologie multicritère d'aide à la décision , 1985 .

[7]  Wen Lea Pearn,et al.  Analytic network process (ANP) approach for product mix planning in semiconductor fabricator , 2005 .

[8]  T. Saaty,et al.  The Analytic Hierarchy Process , 1985 .

[9]  Da Ruan,et al.  Multi-Objective Group Decision Making - Methods, Software and Applications with Fuzzy Set Techniques(With CD-ROM) , 2007, Series in Electrical and Computer Engineering.

[10]  S. Zionts,et al.  An Interactive Programming Method for Solving the Multiple Criteria Problem , 1976 .

[11]  R. Benayoun,et al.  Linear programming with multiple objective functions: Step method (stem) , 1971, Math. Program..

[12]  Jean-Luc Marichal,et al.  An axiomatic approach of the discrete Choquet integral as a tool to aggregate interacting criteria , 2000, IEEE Trans. Fuzzy Syst..

[13]  P. Sridhar,et al.  Multi-Criteria Decision Making in Sensor Networks , 2008, IEEE Instrumentation & Measurement Magazine.

[14]  G. Choquet Theory of capacities , 1954 .

[15]  Eiichiro Takahagi,et al.  On Identification Methods of λ-Fuzzy Measures using Weights and λ , 2000 .

[16]  Marc Roubens,et al.  Fuzzy Preference Modelling and Multicriteria Decision Support , 1994, Theory and Decision Library.

[17]  B. Roy,et al.  L'aide multicritère à la décision , 1989 .

[18]  T. Saaty Analytic Hierarchy Process , 2005 .

[19]  S. Mena Introduction aux méthodes multicritères d’aide à la décision , 2000 .

[20]  Marco Furini,et al.  International Journal of Computer and Applications , 2010 .

[21]  J. Shanteau,et al.  Introduction: Where to decision making , 2003 .

[22]  菅野 道夫,et al.  Theory of fuzzy integrals and its applications , 1975 .

[23]  Alain Schärlig,et al.  Pratiquer Electre et Prométhée : un complément à Décider sur plusieurs critères , 1996 .

[24]  Philip Wolfe,et al.  Contributions to the theory of games , 1953 .

[25]  J. Siskos Assessing a set of additive utility functions for multicriteria decision-making , 1982 .

[26]  Johan Springael,et al.  PROMETHEE and AHP: The design of operational synergies in multicriteria analysis.: Strengthening PROMETHEE with ideas of AHP , 2004, Eur. J. Oper. Res..

[27]  Matthias Ehrgott,et al.  Multiple criteria decision analysis: state of the art surveys , 2005 .

[28]  Remo Guidieri Res , 1995, RES: Anthropology and Aesthetics.

[29]  Bernard Roy,et al.  Aide multicritère à la décision : méthodes et cas , 1993 .

[30]  L. Shapley A Value for n-person Games , 1988 .

[31]  M. Sugeno,et al.  A theory of fuzzy measures: Representations, the Choquet integral, and null sets , 1991 .

[32]  Ruth A. Schmidt,et al.  Introduction to Decision-making , 1996 .