Veto Values Within MAUT for Group Decision Making on the basis of Dominance Measuring Methods with Fuzzy Weights

In this paper we extend the additive multi-attribute utility model to incorporate the concept of veto in a group decision-making context. Moreover, trapezoidal fuzzy numbers are used to represent the relative importance of criteria for each DM, and uncertainty about the alternative performances is considered by means of intervals. Although all DMs are allowed to provide veto values, the corresponding vetoes are effective for only the most important DMs. They are used to define veto ranges. Veto values corresponding to the other less important DMs are partially taken into account, leading to the construction of adjust ranges. Veto and an adjust function are then incorporated into the additive model, and a fuzzy dominance matrix is computed. A dominance measuring method is then used to derive a ranking of alternatives for each DM, which are then aggregated to account for the relative importance of DMs.

[1]  Bruce L. Stern,et al.  Research for Marketing Decisions , 1978 .

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

[3]  Lucien Duckstein,et al.  Comparison of fuzzy numbers using a fuzzy distance measure , 2002, Fuzzy Sets Syst..

[4]  Ruth Etzioni,et al.  Combining Results of Microarray Experiments: A Rank Aggregation Approach , 2006 .

[5]  Shili Lin,et al.  Rank aggregation methods , 2010 .

[6]  Richard J. Wallace,et al.  Fuzzy Fault Tree Representation and Maintenance based on Frames and Constraint Technologies: A Case Study , 2007 .

[7]  T. Stewart.  Robustness of Additive Value Function Methods in MCDM , 1996 .

[8]  P.-C.-F. Daunou,et al.  Mémoire sur les élections au scrutin , 1803 .

[9]  Antonio Jiménez-Martín,et al.  Dominance intensity measuring methods in MCDM with ordinal relations regarding weights , 2014, Knowl. Based Syst..

[10]  Z. Yue.  A method for group decision-making based on determining weights of decision makers using TOPSIS , 2011 .

[11]  Jie Ding,et al.  Integration of Ranked Lists via Cross Entropy Monte Carlo with Applications to mRNA and microRNA Studies , 2009, Biometrics.

[12]  Adiel Teixeira de Almeida,et al.  The Use of Ranking Veto Concept to Mitigate the Compensatory Effects of Additive Aggregation in Group Decisions on a Water Utility Automation Investment , 2012 .

[13]  S. Shapiro,et al.  Mathematics without Numbers , 1993 .

[14]  Antonio Jiménez-Martín,et al.  Risk analysis in information systems: A fuzzification of the MAGERIT methodology , 2014, Knowl. Based Syst..

[15]  K. Arrow,et al.  Social Choice and Multicriterion Decision-Making , 1986 .

[16]  Kwangsun Yoon,et al.  Systems selection by multiple attribute decision making , 1982 .

[17]  A. Mateos,et al.  Dominance intensity measure within fuzzy weight oriented MAUT: An application , 2013 .

[18]  Maciej Nowak,et al.  Preference and veto thresholds in multicriteria analysis based on stochastic dominance , 2004, Eur. J. Oper. Res..

[19]  C. B. E. Costa,et al.  Facilitating bid evaluation in public call for tenders: a socio-technical approach , 2002 .

[20]  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.

[21]  Jean-Luc Marichal,et al.  Tolerant or intolerant character of interacting criteria in aggregation by the Choquet integral , 2004, Eur. J. Oper. Res..

[22]  Giuseppe Munda,et al.  A conflict analysis approach for illuminating distributional issues in sustainability policy , 2009, Eur. J. Oper. Res..

[23]  Bernard Roy,et al.  Handling effects of reinforced preference and counter-veto in credibility of outranking , 2008, Eur. J. Oper. Res..

[24]  Divakaran Liginlal,et al.  Modeling attitude to risk in human decision processes: An application of fuzzy measures , 2006, Fuzzy Sets Syst..

[25]  Hervé Moulin,et al.  The Proportional Veto Principle , 1981 .

[26]  H. Raiffa.  The art and science of negotiation , 1983 .

[27]  Antonio Jiménez Martín,et al.  An interactive method of fuzzy probability elicitation in risk analysis , 2013 .

[28]  Alfonso Mateos,et al.  A new dominance intensity method to deal with ordinal information about a DM's preferences within MAVT , 2014, Knowl. Based Syst..