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Journal of Automation and Information Sciences
Bayesian Strategy for Group Decision Making and its Interval Generalization
Olga A. Zhukovskaya
National Technical University of Ukraine
"Igor Sikorsky Kiev Polytechnic Institute",
Leonid S. Fainzilberg
International Research and Training Center of Information Technologies and Systems of National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine, Kyiv
An original approach to formalize the process of group decision making based on integration of private decisions of independent experts is developed. Mathematical models of collective decisions under risk conditions based on
Bayesian strategy are proposed. Using the interval analysis methods there are constructed the suboptimal models providing with a given confidence probability the average risk minimum of the group decision on a set of possible situations.
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The Bayes scheme of team decision making under contradiction conditions, Problemy upravleniys i informatiki, 2002, No. 3, 112–122.
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Interval generalization of Bayesian model of group decision making in conflict situations, Kibernetika i sistemnyi analiz, 2005, No. 3, 133–144.
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Positive reactions to working in groups in a study of group and individual goal decision-making, Group Dynamics: Theory, Research, and Practice, 2004, 8, No. 4, 253–264.
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The Delphi Technique: Making sense of consensus, Practical Assessment, Research & Evaluation, 2007, 12, No. 10, 1–8.
Using experts’ opinions through Delphi Technique, Practical Assessment Research & Evaluation, 2007, 12, No. 4, 1–8.
Computerized argument Delphi Technique, IEEE Journals & Magazines, 2015, 3, 368-380.
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Twenty-Five years of hidden profiles in group decision making a meta-analysis, Personality and Social Psychology Review, 2012, 16, No. 1, 54-75.
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Extensions of the TOPSIS for group decision-making under fuzzy environment. Fuzzy Sets and Systems. 2000. N 114. P. 1–9.
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Zgurovsky M.Z., Totsenko V.G., Tsyganok V.V.,
Group incomplete paired comparisons with account of expert competence, Mathematical and Computer Modelling, 2004, 39, No. 4(5), 349– 361.
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Outcomes of collective decisions with externalities predicted, Journal of Theoretical Politics, 2008, No. 20, 415–442.
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The possibility of a preference-based power index, Journal of Theoretical Politics, 2005, 17, No. 3, 377–387.
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A group bargaining solution, Mathematical Social Sciences, 2004, 48, No. 1, 37–53.
Individually optimal equilibria of noncooperative games in preference relationships, Kibernetika i sistemnyi analiz, 2009, No. 1, 171–179.
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Ashtiani B., Haghighirad F., Montazer G.A.,
Extension of fuzzy topsis method based on intervalvalued fuzzy sets, Applied Soft Computing, 2009, No. 9, 457–461.
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A Multi-criteria Intuitionistic fuzzy group decision making for supplier selection with TOPSIS method, Expert System with Application, 2009, 36, No. 8, 11363-11368.
Chen S.M., Lee L.W.,
Fuzzy multiple attributes group decision-making based on the ranking values and the arithmetic operations of interval type-2 fuzzy sets, Expert Systems with applications, 2010, No. 37, 824–833.
Distances between Intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric, Fuzzy Set and Systems, 2004, No. 148, 319-328.
DOI: https://doi.org/ 10.1016/j.fss.2003.08.005
Hong D.H., Lee S.,
Some algebraic properties and a distance measure for interval-valued fuzzy numbers, Information Sciences, 2002, No. 148, 1-10.
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Multi-attribute decision making: a simulation of select methods, European Journal of Operational Research, 1998, 107, No. 3, 507–529.
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Mathematical models of group decision making [in Ukrainian], Osvita Ukrainy, Kyiv, 2018.
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