Mutually dependent multi-criteria decision making

In this paper, a model to estimate the weights of mutually dependent criteria, based on cause-effect assessments of a group of professionals, is developed for problem of multiple criteria decision making (MCDM). Here, both DEMATEL (Decision Making Trial and Evaluation Laboratory) and TOPSIS (Technique for Order Performance by Similarity to Ideal Solution) models are combined and extended to handle fuzzy evaluations where the first is used to set the weights of the interdependent criteria and the second for drawing a decision from a group of professionals who use linguistic ratings in their evaluation.The presented model is characterized by the capability to estimate the criteria weights when the criteria are interrelated. The strict determination of the criteria weights prior to the assessment process is eliminated as they are computed by the DEMATEL part. A classical case-study of optimal sore throat treatment in primary care unit is used to demonstrate the efficiency of the proposed model.

[1]  Soroush Saghafian,et al.  Multi-criteria Group Decision Making Using A Modified Fuzzy TOPSIS Procedure , 2005, International Conference on Computational Intelligence for Modelling, Control and Automation and International Conference on Intelligent Agents, Web Technologies and Internet Commerce (CIMCA-IAWTIC'06).

[2]  Didier Dubois,et al.  Ranking fuzzy numbers in the setting of possibility theory , 1983, Inf. Sci..

[3]  M. Bohanec,et al.  The Analytic Hierarchy Process , 2004 .

[4]  Thomas L. Saaty What is the analytic hierarchy process , 1988 .

[5]  Hidetomo Ichihashi,et al.  Relative modalities and their use in possibilistic linear programming , 1990 .

[6]  H. Zimmermann,et al.  Fuzzy reasoning for solving fuzzy mathematical programming problems , 1993 .

[7]  Warren J McIsaac,et al.  Empirical validation of guidelines for the management of pharyngitis in children and adults. , 2004, JAMA.

[8]  Ronald R. Yager,et al.  A procedure for ordering fuzzy subsets of the unit interval , 1981, Inf. Sci..

[9]  R. Yager Fuzzy decision making including unequal objectives , 1978 .

[10]  J. Buckley,et al.  A fast method of ranking alternatives using fuzzy numbers , 1989 .

[11]  S. Orlovsky Decision-making with a fuzzy preference relation , 1978 .

[12]  Piero P. Bonissone,et al.  A fuzzy sets based linguistic approach: Theory and applications , 1980, WSC '80.

[13]  Sohail Asghar,et al.  A survey on multi-criteria decision making approaches , 2009, 2009 International Conference on Emerging Technologies.

[14]  Thomas Hanne,et al.  Nonessential objectives within network approaches for MCDM , 2006, Eur. J. Oper. Res..

[15]  Mahmoud A. Abo-Sinna,et al.  Extensions of TOPSIS for multi-objective large-scale nonlinear programming problems , 2005, Appl. Math. Comput..

[16]  Robert Fullér,et al.  On Weighted Possibilistic Mean and Variance of Fuzzy Numbers , 2002, Fuzzy Sets Syst..

[17]  Chi-Jen Lin,et al.  A causal analytical method for group decision-making under fuzzy environment , 2008, Expert Syst. Appl..

[18]  Guangtao Fu,et al.  A fuzzy optimization method for multicriteria decision making: An application to reservoir flood control operation , 2008, Expert Syst. Appl..

[19]  Sonal Singh,et al.  Optimal management of adults with pharyngitis – a multi-criteria decision analysis , 2006, BMC Medical Informatics Decis. Mak..

[20]  E. Lee,et al.  Comparison of fuzzy numbers based on the probability measure of fuzzy events , 1988 .

[21]  Richard Bellman,et al.  Decision-making in fuzzy environment , 2012 .

[22]  JOSEPH R. ALBERTS,et al.  SURVEY OF RECENT DEVELOPMENTS , 2011 .

[23]  Carlos Cruz Corona,et al.  A Survey of Fuzzy Convex Programming Models , 2010, Fuzzy Optimization.

[24]  Jian-Bo Yang,et al.  Introduction to Multi-Criteria Decision Making and the Evidential Reasoning Approach , 2004 .

[25]  Sheng-Hshiung Tsaur,et al.  The evaluation of airline service quality by fuzzy MCDM. , 2002 .

[26]  Ching-Lai Hwang,et al.  Multiple Attribute Decision Making: Methods and Applications - A State-of-the-Art Survey , 1981, Lecture Notes in Economics and Mathematical Systems.

[27]  Omar Bataineh,et al.  A fuzzy logic approach to the selection of the best silicon crystal slicing technology , 2009, Expert Syst. Appl..

[28]  Ta-Chung Chu,et al.  Facility Location Selection Using Fuzzy TOPSIS Under Group Decisions , 2002, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[29]  Christer Carlsson,et al.  Fuzzy multiple criteria decision making: Recent developments , 1996, Fuzzy Sets Syst..

[30]  Doraid Dalalah,et al.  A remote fuzzy multicriteria diagnosis of sore throat. , 2008, Telemedicine journal and e-health : the official journal of the American Telemedicine Association.

[31]  Chen-Tung Chen,et al.  Extensions of the TOPSIS for group decision-making under fuzzy environment , 2000, Fuzzy Sets Syst..

[32]  Doraid M. Dalalah,et al.  A fuzzy multi-criteria decision making model for supplier selection , 2011, Expert Syst. Appl..

[33]  Hidetomo Ichihashi,et al.  Fuzzy Programming: A Survey of Recent Developments , 1990 .

[34]  Constantin Virgil Negoita,et al.  The current interest in fuzzy optimization , 1981 .

[35]  Chung-Hsing Yeh,et al.  Inter-company comparison using modified TOPSIS with objective weights , 2000, Comput. Oper. Res..

[36]  Ching-Lai Hwang,et al.  Fuzzy Multiple Attribute Decision Making - Methods and Applications , 1992, Lecture Notes in Economics and Mathematical Systems.

[37]  Jingguo Wang,et al.  Negotiating wisely: Considerations based on MCDM/MAUT , 2008, Eur. J. Oper. Res..

[38]  Huibert Kwakernaak An algorithm for rating multiple-aspect alternatives using fuzzy sets , 1979, Autom..

[39]  Christer Carlsson,et al.  Multiple criteria decision making: The case for interdependence , 1995, Comput. Oper. Res..

[40]  Arie Tzvieli Possibility theory: An approach to computerized processing of uncertainty , 1990, J. Am. Soc. Inf. Sci..

[41]  Tien-Fu Liang,et al.  Application of fuzzy multi-objective linear programming to aggregate production planning , 2004, Comput. Ind. Eng..

[42]  Yujiro Shimizu,et al.  Designing methods of human interface for supervisory control systems , 1998 .

[43]  C. Carlsson,et al.  Interdependence in fuzzy multiple objective programming , 1994 .

[44]  Christer Carlsson,et al.  A fuzzy approach to R&D project portfolio selection , 2007, Int. J. Approx. Reason..

[45]  T. Stewart A CRITICAL SURVEY ON THE STATUS OF MULTIPLE CRITERIA DECISION MAKING THEORY AND PRACTICE , 1992 .