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Consensus in Multiperson Decision Making Using Fuzzy Coalitions

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Soft Computing Applications for Group Decision-making and Consensus Modeling

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 357))

Abstract

We consider the problem of group decisions, in which decision-makers have different opinions or interests. This study proposes various metric spaces for representing the movements of decision-makers for reaching consensus. We also introduce the concept of fuzzy coalition for developing an algorithm for building a feasible fuzzy coalition, which is defined as the union of winning maximum coalitions which solve the issue of consensus among decision-makers.

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References

  1. Arrow KJ (1951) Social choice and individual value. Yale University Press, New Haven

    MATH  Google Scholar 

  2. Boudon R (1979) La logique du social. Hachette, Paris

    Google Scholar 

  3. Carlsson C, Ehrenberg D, Eklund P, Fedrizzi M, Gustafsson P, Lindholm P, Merkurieva G, Riissanen T, Ventre AGS (1992) Consensus in distributed soft environments. Eur J Oper Res 61:165–185

    Article  Google Scholar 

  4. Coletti G, Scozzafava R (2002) Probabilistic logic in a coherent setting. Kluwer Academic Publishers, Dordrecht

    Book  MATH  Google Scholar 

  5. de Finetti B (1974) Theory of probability. Wiley, New York

    MATH  Google Scholar 

  6. Delli Rocili L, Maturo A (2013) Teaching mathematics to children: social aspects, psychological problems and decision making models. In: Soitu, Gavriluta, Maturo (ed) Interdisciplinary approaches in social sciences, Editura Universitatii A.I. Cuza, Iasi, Romania.

    Google Scholar 

  7. Di Battista T, Fortuna F, Maturo F (2014) Parametric functional analysis of variance for fish biodiversity. In: Paper presented at the international conference on marine and freshwater environments, iMFE. www.scopus.com

  8. Di Battista T, Fortuna F, Maturo F (2016) Environmental monitoring through functional biodiversity tools. Ecol Indic 60:237–247. doi:10.1016/j.ecolind.2015.05.056

  9. Di Battista T, Fortuna F, Maturo F (2016) Parametric functional analysis of variance for fish biodiversity assessment. J Environ Inform. doi:10.3808/jei.201600348

  10. Di Battista T, Fortuna F, Maturo F (2017) BioFTF: an R package for biodiversity assessment with the functional data analysis approach. Ecol Indic 73:726–732. doi:10.1016/j.ecolind.2016.10.032

  11. Ehrenberg D, Eklund P, Fedrizzi M, Ventre AGS (1989) Consensus in distributed soft environments. Rep Comput Sci Math A 88:1–24

    Google Scholar 

  12. Eklund P, Rusinowska A, De Swart H. (2007) Consensus reaching in committees. Eur J Oper Res 178:185–193

    Google Scholar 

  13. Klir GJ, Yuan B (1995) Fuzzy sets and fuzzy logic. Prentice Hall, Jersey

    Google Scholar 

  14. Lindley DV (1985) Making decisions. Wiley, London

    Google Scholar 

  15. Luce RD, Raiffa H (1957) Games and decisions. Wiley, New York

    MATH  Google Scholar 

  16. March JG (1994) A primer on decision making: how decisions happen. The Free Press, New York

    Google Scholar 

  17. Maturo A (2009) Alternative fuzzy operations and applications to social sciences. Int J Intel Syst 24:1243–1264

    Article  MATH  Google Scholar 

  18. Maturo A, Ventre AGS (2008) Models for consensus in multiperson decision making. In: NAFIPS 2008 conference proceedings. Regular Papers 50014. IEEE Press, New York

    Google Scholar 

  19. Maturo A, Ventre AGS (2009) An application of the analytic hierarchy process to enhancing consensus in multiagent decision making. In: Proceeding of the international symposium on the analytic hierarchy process for multicriteria decision making, July 29–August 1, 2009, paper 48. University of Pittsburg, Pittsburgh, pp 1–12

    Google Scholar 

  20. Maturo A, Ventre AGS (2009) Aggregation and consensus in multi objective and multi person decision making. Int J Uncertain Fuzziness Knowl-Based Syst 17(4):491–499

    Article  MATH  Google Scholar 

  21. Maturo A, Ventre AGS (2009) Multipersonal decision making, concensus and associated hyperstructures. In: Proceeding of AHA 2008. University of Defence, Brno, pp 241–250

    Google Scholar 

  22. Maturo A, Squillante M, Ventre AGS (2006) Consistency for assessments of uncertainty evaluations in non-additive settings. In: Amenta P, D’Ambra L, Squillante M, Ventre AGS (eds) Metodi, modelli e tecnologie dell’informazione a supporto delle decisioni. Franco Angeli, Milano, pp 75–88

    Google Scholar 

  23. Maturo A, Squillante M, Ventre AGS (2006) Consistency for nonadditive measures: analytical and algebraic methods. In: Reusch B (ed) Computational intelligence, theory and applications. Springer, Berlin, pp 29–40

    Chapter  Google Scholar 

  24. Maturo A, Squillante M, Ventre AGS (2010) Coherence for fuzzy measures and applications to decision making. In: Greco S et al (eds) Preferences and decisions, STUDFUZZ 257 Springer, Heidelberg, pp 291–304

    Google Scholar 

  25. Maturo A, Squillante M, Ventre AGS (2010) Decision making, fuzzy measures, and hyperstructures. Adv Appl Stat Sci 2(2):233–253.

    Google Scholar 

  26. Maturo A, Maturo F (2013) Research in social sciences: fuzzy regression and causal complexity. In: Studies in fuzziness and soft computing. pp 237–249. doi:10.1007/978-3-642-35635-3_18

  27. Maturo A, Maturo F (2014) finite geometric spaces, steiner systems and cooperative games. Analele Universitatii “Ovidius” Constanta—Seria Matematica 22(1). doi:10.2478/auom-2014-0015

  28. Maturo A, Maturo F (2016) Fuzzy events, fuzzy probability and applications in economic and social sciences. In: Studies in systems, decision and control. pp 223–233. doi:10.1007/978-3-319-40585-8_20

  29. Maturo F (2016) Dealing with randomness and vagueness in business and management sciences: the fuzzy probabilistic approach as a tool for the study of statistical relationships between imprecise variables. Ratio Mathematica 30:45–58

    Google Scholar 

  30. Maturo F, Fortuna F (2016) Bell-shaped fuzzy numbers associated with the normal curve. In: Topics on methodological and applied statistical inference, pp 131–144. doi:10.1007/978-3-319-44093-4_13

  31. Maturo F, Hošková-Mayerová Š (2016) Fuzzy regression models and alternative operations for economic and social sciences. In: Studies in systems, decision and control, pp 235–247. doi:10.1007/978-3-319-40585-8_21

  32. Saaty TL (1980) The analytic hierarchy process. McGraw-Hill, New York

    MATH  Google Scholar 

  33. Saaty TL (2008) Relative measurement and its generalization in decision making, why pairwise comparisons are central in mathematics for the measurement of intangible factors, the analytic hierarchy/network process. Rev R Acad Cien Serie A Mat 102(2):251–318

    Article  MathSciNet  MATH  Google Scholar 

  34. Simon HA (1982) Models of bounded rationality. Mit Press, Cambridge (Mass.)

    Google Scholar 

  35. von Neumann J, Morgenstern O (1944) Theory of games and economic behavior. Princeton University Press, Princeton, Jersey

    MATH  Google Scholar 

  36. Yager R (1986) A characterization of the extension principle. Fuzzy Sets Syst 18:205–217

    Google Scholar 

  37. Zadeh L (1975) The concept of a linguistic variable and its application to approximate reasoning. Inf Sci, Part I 8:199–249, Part 2: 301–357

    Google Scholar 

  38. Zadeh L (1975) The concept of a linguistic variable and its applications to approximate reasoning, Part III. Inf Sci 9:43–80

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Management and Business Administration, University of Chieti-Pescara, Viale Pindaro 42, 65127, Pescara, Italy

    Fabrizio Maturo

  2. Department of Economics, Management and Quantitative Methods, University of Sannio at Benevento, Via delle Puglie 82, 82100, Benevento, Italy

    Viviana Ventre

Authors
  1. Fabrizio Maturo
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  2. Viviana Ventre
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Corresponding author

Correspondence to Fabrizio Maturo .

Editor information

Editors and Affiliations

  1. School of Business and Management, Lappeenranta University of Technology, Lappeenranta, Finland

    Mikael Collan

  2. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

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Maturo, F., Ventre, V. (2018). Consensus in Multiperson Decision Making Using Fuzzy Coalitions. In: Collan, M., Kacprzyk, J. (eds) Soft Computing Applications for Group Decision-making and Consensus Modeling. Studies in Fuzziness and Soft Computing, vol 357. Springer, Cham. https://doi.org/10.1007/978-3-319-60207-3_26

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  • DOI: https://doi.org/10.1007/978-3-319-60207-3_26

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-60206-6

  • Online ISBN: 978-3-319-60207-3

  • eBook Packages: EngineeringEngineering (R0)

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