Selecting the best statistical distribution with PROMETHEE and GAIA

Three methods have previously been presented in Computer and Industrial Engineering for the selection of a statistical distribution to describe a data-set: the weighted sum model, the weighted multiplication model and data envelopment analysis. These are based on distinctive preset of parameters and result in three different rankings. In these approaches there is no interaction with the decision-maker (DM). This leads to the question: which method should a DM choose? In this paper, we adopt another approach where the DM is the central actor. Based on the multi-criteria decision aid methods, PROMETHEE and GAIA, we will show that different preference parameters (given by the DM) lead to different rankings. Finally, a group decision can be reached using its extension: PROMETHEE GDSS.

[1]  Zilla Sinuany-Stern,et al.  Review of ranking methods in the data envelopment analysis context , 2002, Eur. J. Oper. Res..

[2]  Gerrit K. Janssens,et al.  Flash co-pyrolysis of biomass: The influence of biopolymers , 2009 .

[3]  Zacharoula S. Andreopoulou,et al.  Assessment and optimization of e-commerce websites of fish culture sector , 2009, Oper. Res..

[4]  Fred W. Glover,et al.  Contributions of Professor William W. Cooper in Operations Research and Management Science , 2009, Eur. J. Oper. Res..

[5]  IshizakaAlessio,et al.  Selecting the best statistical distribution with PROMETHEE and GAIA , 2011 .

[6]  Abdol S. Soofi,et al.  A new definition and framework for the development of a national technology strategy: The case of nanotechnology for Iran☆ , 2009 .

[7]  Bertrand Mareschal,et al.  The PROMCALC & GAIA decision support system for multicriteria decision aid , 1994, Decis. Support Syst..

[8]  J. Brans,et al.  A Preference Ranking Organisation Method: (The PROMETHEE Method for Multiple Criteria Decision-Making) , 2008 .

[9]  Reza Baradaran Kazemzadeh,et al.  PROMETHEE: A comprehensive literature review on methodologies and applications , 2010, Eur. J. Oper. Res..

[10]  B. Roy.  Two conceptions of decision aiding , 2010 .

[11]  Y. De Smet,et al.  Rank reversal in the PROMETHEE II method: Some new results , 2008, 2008 IEEE International Conference on Industrial Engineering and Engineering Management.

[12]  Toshiyuki Sueyoshi,et al.  Can R&D expenditure avoid corporate bankruptcy? Comparison between Japanese machinery and electric equipment industries using DEA-discriminant analysis , 2009, Eur. J. Oper. Res..

[13]  José I. Castillo-Manzano,et al.  Low-cost port competitiveness index: Implementation in the Spanish port system☆ , 2009 .

[14]  Vanessa B. S. Silva,et al.  A Multicriteria Group Decision Model to Support Watershed Committees in Brazil , 2010 .

[15]  Tarek Zayed,et al.  A stochastic diagnostic model for subway stations , 2010 .

[16]  Choonjong Kwak,et al.  A multicriteria approach to timeout collaboration protocol , 2009 .

[17]  R. Venkata Rao,et al.  Decision making in the manufacturing environment using an improved PROMETHEE method , 2010 .

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

[19]  S French,et al.  Multicriteria Methodology for Decision Aiding , 1996 .

[20]  I. Ozkarahan,et al.  Supplier evaluation and management system for strategic sourcing based on a new multicriteria sorting procedure , 2007 .

[21]  Serge Kokot,et al.  Multi-wavelength HPLC fingerprints from complex substances: An exploratory chemometrics study of the Cassia seed example. , 2009, Analytica chimica acta.

[22]  Amit Kumar,et al.  A conceptual framework for siting biorefineries in the Canadian Prairies , 2010 .

[23]  Habib Chabchoub,et al.  PROMETHEE-MD-2T method for project selection , 2009, Eur. J. Oper. Res..

[24]  Mona Anvari,et al.  Provident decision making by considering dynamic and fuzzy environment for FMS evaluation , 2010 .

[25]  Guoan Chen,et al.  Optimization on tribological properties of aramid fibre and CaSO4 whisker reinforced non-metallic friction material with analytic hierarchy process and preference ranking organization method for enrichment evaluations , 2010 .

[26]  B. J. C. Perera,et al.  Stakeholder preference elicitation and modelling in multi-criteria decision analysis - A case study on urban water supply , 2010, Eur. J. Oper. Res..

[27]  Philippe Vincke,et al.  Multicriteria Decision-aid , 1993 .

[28]  Naveed Ramzan,et al.  Multicriteria decision analysis for safety and economic achievement using PROMETHEE: A case study , 2009 .

[29]  Cecilio Mar-Molinero,et al.  Measuring DEA efficiency in Internet companies , 2005, Decis. Support Syst..

[30]  Chris Tofallis.  Selecting the best statistical distribution using multiple criteria , 2008, Comput. Ind. Eng..

[31]  Cengiz Kahraman,et al.  An integrated fuzzy multi-criteria decision making methodology for material handling equipment selection problem and an application , 2010, Expert Syst. Appl..

[32]  Taraneh Sowlati,et al.  A multicriteria approach to evaluate district heating system options , 2010 .

[33]  Jutta Geldermann,et al.  Modified PROMETHEE approach for assessing energy technologies , 2010 .

[34]  Hal R. Varian.  Intermediate Microeconomic A Modern Approach , 1999 .

[35]  Kazuyuki Sekitani,et al.  An occurrence of multiple projections in DEA-based measurement of technical efficiency: Theoretical comparison among DEA models from desirable properties , 2009, Eur. J. Oper. Res..

[36]  Alexis Tsoukiàs,et al.  From decision theory to decision aiding methodology , 2008, Eur. J. Oper. Res..

[37]  Živan Živković,et al.  Multi-criteria Analysis of Air Pollution with SO2 and PM10 in Urban Area Around the Copper Smelter in Bor, Serbia , 2009, Water, air, and soil pollution.

[38]  D. E. Bell,et al.  Decision Making: DESCRIPTIVE, NORMATIVE, AND PRESCRIPTIVE INTERACTIONS IN DECISION MAKING , 1988 .

[39]  Injun Choi,et al.  Efficiency evaluation of data warehouse operations , 2008, Decis. Support Syst..

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

[41]  Morteza Osanloo,et al.  Deriving preference order of post-mining land-uses through MLSA framework: application of an outranking technique , 2009 .

[42]  Dominique Derome,et al.  Multicriteria decision analysis applied to the design of light-frame wood wall assemblies , 2010 .

[43]  Ivan Mihajlović,et al.  Multi-criteria ranking of copper concentrates according to their quality--an element of environmental management in the vicinity of copper--smelting complex in Bor, Serbia. , 2009, Journal of environmental management.

[44]  Kejiang Zhang,et al.  Incorporating linguistic, probabilistic, and possibilistic information in a risk‐based approach for ranking contaminated sites , 2010, Integrated environmental assessment and management.

[45]  Gopal Achari,et al.  A Comparative Approach for Ranking Contaminated Sites Based on the Risk Assessment Paradigm Using Fuzzy PROMETHEE , 2009, Environmental management.

[46]  Evangelos Triantaphyllou,et al.  Two new cases of rank reversals when the AHP and some of its additive variants are used that do not occur with the multiplicative AHP , 2001 .

[47]  Constantin Zopounidis,et al.  A multicriteria decision support system for bank rating , 2010, Decis. Support Syst..

[48]  Ming Jian Zuo,et al.  A multi-criterion evaluation approach to selection of the best statistical distribution , 2004, Comput. Ind. Eng..

[49]  Ramakrishnan Ramanathan.  Selecting the best statistical distribution - a comment and a suggestion on multi-criterion evaluation , 2005, Comput. Ind. Eng..

[50]  Toshiyuki Sueyoshi,et al.  DEA-DA for bankruptcy-based performance assessment: Misclassification analysis of Japanese construction industry , 2009, Eur. J. Oper. Res..

[51]  Ying Luo,et al.  On rank reversal in decision analysis , 2009, Math. Comput. Model..

[52]  Claude Lamboray,et al.  ℱlow $\mathcal{S}$ ort: a flow-based sorting method with limiting or central profiles , 2008 .

[53]  Bertrand Mareschal,et al.  The GDSS PROMETHEE procedure: a PROMETHEE-GAIA based procedure for group decision support , 1998 .

[54]  Daniel Castro-Lacouture,et al.  Optimal decision making on urban renewal projects , 2010 .

[55]  Gisela Lanza,et al.  Multidimensional evaluation of value added networks , 2010 .

[56]  Amit Kumar,et al.  Development of a multi-criteria assessment model for ranking of renewable and non-renewable transportation fuel vehicles , 2009 .