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Austrian Conference on Fuzzy Logic in Artificial Intelligence

FLAI 1993: Fuzzy Logic in Artificial Intelligence pp 91–102Cite as

Approximate reasoning in the modeling of consensus in group decisions

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 695))

Abstract

In this paper we propose an approach to consensus reaching based on linguistically expressed individual opinions and on so-called opinion changing aversion. We operate within this basic context: there is a group of experts which must choose a preferred alternative from a finite set of admissible ones according to several criteria. Each expert is called upon evaluate linguistically the alternatives in terms of their performance with respect to each criterion. The task of the experts is to reach some agreement during a consensus reaching process directed by a third person called the moderator. The experts are expected subsequently to change their testimonies until sufficient agreement (consensus) has been reached. The measure of consensus depends on a function estimated for each expert according to his/her aversion to opinion change.

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References

  1. Boatto, V., Fedrizzi, M., Furlani, P., Povellato, A.: Fuzzy logic in group decisions: an application to problems of environmental policies. Land and Resources Use Policy (1991) 62–82

    Google Scholar 

  2. Bonissone, P.P.: A fuzzy sets linguistic approach: theory and applications. In: Gupta, M.M., Sanchez, E. (Eds.) Approximate Reasoning in Decision Analysis. North-Holland (1982) 329–339

    Google Scholar 

  3. Bortolan, G., Degani, R.: A review of some methods for ranking fuzzy subsets. Fuzzy Sets and Systems. North-Holland 1 (1985) 1–19

    Google Scholar 

  4. Bui, T.X.: A Group Decision Support System for Cooperative Multicriteria Group Decision Making. Lecture Notes in Computer Science. Springer-Verlag 290 (1987)

    Google Scholar 

  5. Carlsson, C., Ehrenberg, D., Eklund, P., Fedrizzi, M., et al.: Consensus in distributed soft environments. European Journal of Operational Research 61 (1992) 165–185

    Google Scholar 

  6. Desanctis, G., Gallupe, B.: A foundation for the study of group decision support systems. Management Science 33 (1987) 589–609

    Google Scholar 

  7. Dreze, J.M.: Essays in Economic Decisions under Uncertainty. Cambridge University Press (1987)

    Google Scholar 

  8. Dubois, D., Prade, H. The use of fuzzy numbers in decision analysis. In: Gupta, M.M., Sanchez, E. (Eds.) Fuzzy Information and Decision Processes. North-Holland (1982) 309–321

    Google Scholar 

  9. Dubois, D., Prade, H.: Fuzzy numbers: an overview. In: Bezdek, J.C. (Ed.) Analysis of Fuzzy Information. CRC Press (1987) 3–39

    Google Scholar 

  10. Eom, H.B., Lee, S.M., Suh, E.-H.: Group decision support systems: an essential tool for resolving organizational conflicts. International Journal of Information Management 10 (1990) 215–227

    Google Scholar 

  11. Fedrizzi, M., Kacprzyk, J., Zadrozny, S.: An interactive multiuser decision support system for consensus reaching processes using fuzzy logic with linguistic quantifiers. Decision Support Systems 4 (1988) 313–327

    Google Scholar 

  12. Fedrizzi, M., Mich, L.: Decision using production rules. In: Proc. of Annual Conference of the Operational Research Society of Italy (AIRO'91). September 18–10. Riva del Garda. Italy (1991) 118–121

    Google Scholar 

  13. Fedrizzi, M., Fuller, R.: Stability under fuzzy production rules. In: Proc. of 11th European Meeting on Cybernetics and Systems Research (EMCSR'92). April 21–24. Vienna. Austria (1992)

    Google Scholar 

  14. Filev, D.P., Yager, R.R.: A generalized defuzzification method via bad distributions. International Journal of Intelligent Systems 6 (1991) 687–697

    Google Scholar 

  15. Garigliano, R., Long, D., Bokma, A.: A model for learning by source control. In: Bouchon, Saitta and Yager (Eds.) Uncertainty and Intelligent Systems. LNCS 313. Springer-Verlag (1988)

    Google Scholar 

  16. Garigliano, R., Bokma, A.: Heuristics for knowledge extraction in Source Control. International Conference on Information Processing and Management of Uncertainty (IPMU'92). July 6–10. Mallorca. Spain (1992) To be published in a LNCS volume

    Google Scholar 

  17. Gray, P.: Group decision support systems. Decision Support Systems 3 (1987) 233–242

    Google Scholar 

  18. Hellendoorn, H.: Design and development of fuzzy systems at Siemens R&D. Second IEEE International Conference on Fuzzy Systems. March 28–April 1. San Francisco. USA (1993) 1365–1370

    Google Scholar 

  19. Huber, G.P.: Issues in the design of group decision support systems. MIS Quarterly 8 (1984) 195–204

    Google Scholar 

  20. Jacob, V.S., Pirkul, H.: A framework for supporting distributed group decision-making. Decision Support Systems 8 (1992) 17–28

    Google Scholar 

  21. Kacprzyk, J., Fedrizzi, M.: A 'soft’ measure of consensus in the setting of partial (fuzzy) preferences. European Journal of Operational Research 34 (1988) 316–325

    Google Scholar 

  22. Karni, E.: Generalized expected utility analysis of risk aversion with state-dependent performances. International Economic Review 28 (1987) 229–240

    Google Scholar 

  23. Kelsey, D.: Risk and risk aversion for state-dependent utility. Theory and Decision 33 (1992) 71–82

    Google Scholar 

  24. Kowitz, A.C., Knutson, T.J.: Decision Making in Small Groups. Allyn and Bacon. Boston (1980)

    Google Scholar 

  25. Krämer, K.L., King, J.L.: Computer based systems for cooperative work and group decision making. ACM Computing Surveys 20 (1988) 115–146

    Google Scholar 

  26. Lee, N.: Environmental impact assessment: a review. Applied Geography 3 (1983)

    Google Scholar 

  27. Lefons, E., Pazienza, M.T., Silvestri, A., Tangorra, F., Corfiati, L., De Giacomo, P.: An algebraic model for systems of psychically interacting subjects. In: Dubuisson, B. (Ed.) Information and Systems. Oxfor. Pergamon Press (1977) 155–163

    Google Scholar 

  28. Levi, I.: On indeterminate probabilities. Journal of philosophy 71 (1974) 391–418

    Google Scholar 

  29. Löwer, B. (Guest ed.): Special Issue on Consensus. Synthese 62 (1985)

    Google Scholar 

  30. Martel, J.M., D'Avignon, G.R., Coillard, J.: A fuzzy outranking relation in multicriteria decision making. European Journal of Operational Research 25 (1986) 258–271

    Google Scholar 

  31. Nunamaker, J.F., Dennis, A.R., Valachic, J.S., Vogel, D.R., George, J.F.: Electronic meeting systems to support group work. Communications of the ACM 34 (1991) 40–61

    Google Scholar 

  32. Roy, B.: Partial preference analysis and decision aid: the fuzzy outraning relation concept. In: Bell, D., Keeney, R., Raiffa, H. (Eds.) Conflicting objectives in decision. AC-Press (1977)

    Google Scholar 

  33. Runkler, T.A., Glesner, M.: A set of axioms for defuzzification strategies — towards a theory of rational defuzzification operators. Second IEEE International Conference on Fuzzy Systems. March 28–April 1. San Francisco. USA (1993) 1161–1166

    Google Scholar 

  34. Saade, J.J., Schwarzlauder, H.: Ordering fuzzy sets over the real line: an approach Bbased on decision making under uncertainty. Fuzzy Sets and Systems 50 (1992) 237–246

    Google Scholar 

  35. Shakun, M.: Airline buyout: evolutionary system design and problem restructurinh in group decision and negotiation. Management Science 37 (1991) 1291–1303

    Google Scholar 

  36. Silvestri, A., Mich, L., Pereira Gouveia, O., Ferreira Pinto, C.: Simulation of the development of individual interactional patterns. Cybernetics and Systems: An International Journal 18 (1987) 489–515

    Google Scholar 

  37. Takahara, Y., Iijima, J., Shiba, N.: A hyerarchy of decision making concepts: conceptual foundation of decision support systems. International Journal of General Systems 20 (1992) 359–378

    Google Scholar 

  38. Tong, R.M., Bonissone, P.P.: A linguistic approach to decision making with fuzzy sets. IEEE Transactions on Systems Man and Cybernetics 10 (1980) 716–723

    Google Scholar 

  39. Zadeh, L.: Outline of a new approach to the analysis of complex systems and decision processes. IEEE Transactions on Systems Man and Cybernetics 3 (1973) 28–44

    Google Scholar 

  40. Zadeh, L.: The concept of a linguistic variable and its application to approximate reasoning. Information Sciences (Part I) 8 (1975) 199–249 (Part II) 8 301–357 (Part III) 9 (1976) 43–80

    Google Scholar 

  41. Zimmermann, H.J.: Fuzzy Set Theory and its Applications, 2nd Ed., Kluwer, Dordrecht-Boston, 1991

    Google Scholar 

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Authors and Affiliations

  1. Dipartimento di Informatica e Studi Aziendali, Università di Trento, Via Inama, 5, 38100, Trento, Italia

    Luisa Mich, Mario Fedrizzi & Loris Gaio

Authors
  1. Luisa Mich
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  2. Mario Fedrizzi
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  3. Loris Gaio
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Editor information

Erich P. Klement Wolfgang Slany

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© 1993 Springer-Verlag Berlin Heidelberg

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Mich, L., Fedrizzi, M., Gaio, L. (1993). Approximate reasoning in the modeling of consensus in group decisions. In: Klement, E.P., Slany, W. (eds) Fuzzy Logic in Artificial Intelligence. FLAI 1993. Lecture Notes in Computer Science, vol 695. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-56920-0_11

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  • DOI: https://doi.org/10.1007/3-540-56920-0_11

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56920-6

  • Online ISBN: 978-3-540-47782-2

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