A conflict resolution approach for emergency decision of unconventional incidents

In multiple attribute group decision making (MAGDM) problems, the conflict-resolution process is a vital procedure to get an agreement with low degree of conflict. In this paper, we present a discrete model to support the conflict-resolution process. Firstly, according to the contribution index of each expert, a weight-updating model is constructed to reduce the effect of experts whose preferences are opposed to the group preference. In the preference adjustment process, an iterative algorithm is proposed to adjust the individual preferences which have the maximum deviation from the corresponding group ones to retain the original opinion of experts as much as possible. Then, the choice of the best alternative(s) from the group decision is obtained by the simple additive weighting (SAW) method. Finally, an illustrative example is given to verify the effectiveness of our model.

[1]  D. Lutz,et al.  Paradoxes of Rationality: Theory of Metagames and Political Behavior , 1973 .

[2]  David Ben-Arieh,et al.  Linguistic-labels aggregation and consensus measure for autocratic decision making using group recommendations , 2006, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[3]  K G Zografos,et al.  Methodological framework for developing decision support systems (DSS) for hazardous materials emergency response operations. , 2000, Journal of hazardous materials.

[4]  Luis Martínez-López,et al.  Integration of a Consistency Control Module within a Consensus Model , 2008, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[5]  Zeshui Xu,et al.  An automatic approach to reaching consensus in multiple attribute group decision making , 2009, Comput. Ind. Eng..

[6]  Nigel Howard,et al.  Confrontation Analysis: How to Win Operations Other Than War , 1999 .

[7]  Luis G. Vargas.  Conflict analysis: Models and resolutions: Niall M. FRASER and Keith W. HIPEL Volume 11 in: North-Holland Series in System Science and Engineering, North-Holland, New York, 1984, xx + 377 pages, $34.50 , 1985 .

[8]  Francisco Herrera,et al.  A Consensus Model for Group Decision Making With Incomplete Fuzzy Preference Relations , 2007, IEEE Transactions on Fuzzy Systems.

[9]  Constantin Zopounidis,et al.  Credit risk assessment using a multicriteria hierarchical discrimination approach: A comparative analysis , 2002, Eur. J. Oper. Res..

[10]  Hsuan-Shih Lee,et al.  Optimal consensus of fuzzy opinions under group decision making environment , 2002, Fuzzy Sets Syst..

[11]  T. Fung,et al.  Using GIS and Multi-criteria Decision Analysis for Conflict Resolution in Land Use Planning , 2012 .

[12]  Pavlos Moraitis,et al.  A distributed decision support system for strategic planning , 1997, Decis. Support Syst..

[13]  Varghese S. Jacob,et al.  A framework for supporting distributed group decision-making , 1992, Decis. Support Syst..

[14]  Tom Gilb,et al.  Interactive Decision Making: The Graph Model for Conflict Resolution , 1994 .

[15]  Yejun Xu,et al.  Distance-based consensus models for fuzzy and multiplicative preference relations , 2013, Inf. Sci..

[16]  Keung-Chi Ng,et al.  Consensus diagnosis: a simulation study , 1992, IEEE Trans. Syst. Man Cybern..

[17]  Chen-Tung Chen,et al.  Aggregation of fuzzy opinions under group decision making , 1996, Fuzzy Sets Syst..

[18]  Yejun Xu,et al.  A note on group decision-making procedure based on incomplete reciprocal relations , 2011, Soft Comput..

[19]  Shanlin Yang,et al.  The group consensus based evidential reasoning approach for multiple attributive group decision analysis , 2010, Eur. J. Oper. Res..

[20]  Zhibin Wu,et al.  Consensus reaching models of linguistic preference relations based on distance functions , 2012, Soft Comput..

[21]  Kin Keung Lai,et al.  A distance-based group decision-making methodology for multi-person multi-criteria emergency decision support , 2011, Decis. Support Syst..

[22]  Yin-Feng Xu,et al.  Consensus models for AHP group decision making under row geometric mean prioritization method , 2010, Decis. Support Syst..

[23]  Yejun Xu,et al.  Logarithmic least squares method to priority for group decision making with incomplete fuzzy preference relations , 2013 .

[24]  Yejun Xu,et al.  Incomplete interval fuzzy preference relations and their applications , 2014, Comput. Ind. Eng..

[25]  David L. Olson,et al.  Multiple Criteria Decision Making Models in Group Decision Support , 1993 .

[26]  Keith W. Hipel,et al.  The graph model for conflicts , 1987, Autom..

[27]  Kouichi Taji,et al.  Group decision support for hazards planning and emergency management: A Group Analytic Network Process (GANP) approach , 2007, Math. Comput. Model..

[28]  Yejun Xu,et al.  Some methods to deal with unacceptable incomplete 2-tuple fuzzy linguistic preference relations in group decision making , 2014, Knowl. Based Syst..

[29]  Zhifeng Chen,et al.  Linguistic group decision-making: opinion aggregation and measures of consensus , 2006, Fuzzy Optim. Decis. Mak..

[30]  Myron Hatcher.  A tool kit for multimedia supported group/organizational decision systems (MSGDS) , 1995, Decis. Support Syst..

[31]  Petr Ekel,et al.  A flexible consensus scheme for multicriteria group decision making under linguistic assessments , 2010, Inf. Sci..

[32]  Yejun Xu,et al.  Eigenvector method, consistency test and inconsistency repairing for an incomplete fuzzy preference relation , 2013 .

[33]  T. Saaty.  A ratio scale metric and the compatibility of ratio scales: The possibility of arrow's impossibility theorem , 1994 .

[34]  Keith W. Hipel,et al.  Conflict analysis: models and resolutions , 1984 .

[35]  D. Marc Kilgour.  Book review:Theory of moves , 1995 .

[36]  Keith W. Hipel,et al.  A matrix approach to status quo analysis in the graph model for conflict resolution , 2009, Appl. Math. Comput..