IMGD: an interactive method for multiobjective group decision aid

Multiobjective methods for group decision situations that are proposed in the literature do not generally model power and influence. On the other hand, papers dealing with influence and power in group decision support system (GDSS) are looking for the effects of GDSS on the distribution of power among the group members. This paper proposes an interactive method for group decision aid in multiobjective context integrating the concept of power and influence within the multiperson–multicriteria aspect. The method is designed to be used by a committee to solve a multiple criteria allocation problem. The method is tested on a resource allocation problem in the Municipality of Tunis.

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

[2]  S. Zionts,et al.  An Interactive Multiple Objective Linear Programming Method for a Class of Underlying Nonlinear Utility Functions , 1983 .

[3]  Ralph L. Keeney,et al.  Group Decision Making Using Cardinal Social Welfare Functions , 1975 .

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

[5]  Edward W. Packel,et al.  A new index of power for simplen-person games , 1978 .

[6]  J. French A formal theory of social power. , 1956, Psychology Review.

[7]  Susan Rebstock Williams,et al.  Group Support Systems, Power, and Influence in an Organization: A Field Study , 1997 .

[8]  Yacov Y. Haimes,et al.  Multiobjective Decision Making: Theory and Methodology , 1983 .

[9]  Carlos Henggeler Antunes,et al.  On the application of TRIMAP to problems with multiple decision makers , 1994, Ann. Oper. Res..

[10]  Timothy W. Butler,et al.  An Interactive Framework for Multi‐Person, Multiobjective Decisions , 1993 .

[11]  A. Delbecq,et al.  Nominal Versus Interacting Group Processes for Committee Decision-Making Effectiveness , 1971 .

[12]  Benjamin W. Lin,et al.  Some heuristics for the consensus ranking problem , 1983, Comput. Oper. Res..

[13]  Ilze Zigurs,et al.  A Study of Influence in Computer-Mediated Group Decision Making , 1988, MIS Q..

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

[15]  Martin Shubik,et al.  A Method for Evaluating the Distribution of Power in a Committee System , 1954, American Political Science Review.

[16]  Lee J. Krajewski,et al.  Comparative Evaluation Of Three Interactive Multiobjective Programming Techniques As Group Decision Suppport Tools , 1992 .

[17]  Jay Goldman,et al.  A Group Decision Process for Resource Allocation in the Health Setting , 1978 .

[18]  Pradeep Dubey,et al.  Mathematical Properties of the Banzhaf Power Index , 1979, Math. Oper. Res..

[19]  S. Bodily Note—A Delegation Process for Combining Individual Utility Functions , 1979 .

[20]  Ralph E. Steuer,et al.  An interactive weighted Tchebycheff procedure for multiple objective programming , 1983, Math. Program..

[21]  W. Cook,et al.  Ordinal Ranking with Intensity of Preference , 1985 .

[22]  L. A. Goodman,et al.  Social Choice and Individual Values , 1951 .

[23]  George W. Torrance,et al.  Application of Multi-Attribute Utility Theory to Measure Social Preferences for Health States , 1982, Oper. Res..

[24]  Jyrki Wallenius,et al.  An interactive approach to multiple criteria optimization with multiple decision‐makers , 1986 .

[25]  A. Wierzbicki A Mathematical Basis for Satisficing Decision Making , 1982 .

[26]  Risto Lahdelma,et al.  SMAA-2: Stochastic Multicriteria Acceptability Analysis for Group Decision Making , 2001, Oper. Res..

[27]  Lori S. Franz,et al.  A simplified interactive multiple objective linear programming procedure , 1985, Comput. Oper. Res..

[28]  Bernard M. Bass,et al.  Handbook of Leadership , 1990 .

[29]  R. L. Keeney,et al.  Decisions with Multiple Objectives: Preferences and Value Trade-Offs , 1977, IEEE Transactions on Systems, Man, and Cybernetics.