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Measuring Consensus in Group Decision-Making Problems Through an Inequality Measure

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Intelligent Methods Systems and Applications in Computing, Communications and Control (ICCCC 2022)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1435))

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Abstract

Gini index, a measure of statistical dispersion intending to represent inequality within a group, used mainly in economics, becomes in this paper a tool to introduce a new index to measure the level of consensus in Group Decision Making problems. An empirical study reveals that the levels of consensus obtained by this index are similar to those derived through the use of a distance function when fuzzy preference relations are considered. The results obtained suggest that this new index can be satisfactorily used to measure the degree of consensus in this framework.

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References

  1. Herrera-Viedma, E., Cabrerizo, F.J., Kacprzyk, J., Pedrycz, W.: A review of soft consensus models in a fuzzy environment. Inf. Fusion 17, 4–13 (2014)

    Article  Google Scholar 

  2. Del Moral, M.J., Tapia, J.M., Chiclana, F., Al-Hmouz, A., Herrera-Viedma, E.: An analysis of consensus approaches based on different concepts of coincidence. J. Intell. Fuzzy Syst. 34(4), 2247–2259 (2018)

    Article  Google Scholar 

  3. Cabrerizo, F.J., Moreno, J.M., Perez, I.J., Herrera-Viedma, E.: Analyzing consensus approaches in fuzzy group decision making: advantages and drawbacks. Soft. Comput. 14(5), 451–463 (2010)

    Article  Google Scholar 

  4. Del Moral, M.J., Tapia, J.M., Chiclana, F., Herrera-Viedma, E.: Comparing two approaches for consensus computation in group decision making problems. Front. Artif. Intell. Appl. 303, 312–320 (2018)

    Google Scholar 

  5. Akiyama, Y., Nolan, J., Darrah, M., Rahem, M.A., Wang, L.: A method for measuring consensus within groups: an index of disagreement via conditional probability. Inf. Sci. 345, 116–128 (2016)

    Article  Google Scholar 

  6. Del Moral, M.J., Chiclana, F., Tapia, J.M., Herrera-Viedma, E.: An alternative calculation of the consensus degree in group decision making problems. In: Fifth International Conference on Information Technology and Quantitative Management, New Delhi (2017)

    Google Scholar 

  7. Lo, C.C., Wang, P.: Using fuzzy distance to evaluate the consensus of group decision-making – an entropy-based approach. In: IEEE International Conference on Fuzzy Systems, Budapest, pp. 1001–1006 (2004)

    Google Scholar 

  8. Falco, E., Garcia-Lapresta, J.L., Rosello, L.: Allowing agents to be imprecise: a proposal using multiple linguistic terms. Inf. Sci. 258, 249–265 (2014)

    Article  MathSciNet  Google Scholar 

  9. Gini, C.: Measurement of Inequality of Incomes. Econ. J. 31(121), 124–126 (1921)

    Article  Google Scholar 

  10. Pedrycz, W., Parreiras, R., Ekel, P.: Fuzzy Multicriteria Decision-Making. Models, Methods and Applications. Wiley, Chichester (2011)

    Google Scholar 

  11. Zadeh, L.A.: A computational approach to fuzzy quantifiers in natural languages. Comput. Math. Appl. 9(1), 149–184 (1983)

    Article  MathSciNet  Google Scholar 

  12. Yager, R.R.: On ordered weighted averaging aggregation operators in multicriteria decision making. IEEE Trans. Syst. Man Cybern. 18(1), 183–190 (1988)

    Article  Google Scholar 

  13. Deza, M.M., Deza, E.: Encyclopedia of Distances. Springer, Heidelberg (2009)

    Book  Google Scholar 

  14. Czarny, B., Czarny, E.: Efficiency and equity - the Swedish economy in comparison to other countries at the beginning of the 21st century. Int. J. Manag. Econ. 57(3), 255–267 (2021)

    Google Scholar 

  15. Drobotya, Y., Kulinich, T.: Overcoming poverty and social inequality in third world countries (Latin America, Africa). Int. J. Comput. Sci. Netw. Secur. 21(3), 295–303 (2021)

    Google Scholar 

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Acknowledgments

Supported by both the project PID2019-103880RB-I00 funded by MCIN/AEI/https://doi.org/10.13039/501100011033 and the project number P20 00673 funded by the Andalusian Government.

Author information

Authors and Affiliations

  1. Department of Quantitative Methods in Economic and Business, University of Granada, 18071, Granada, Spain

    J. M. Tapia

  2. DIGITS, Department of Informatics, Faculty of Technology, De Montfort University, Leicester, LE1 9BH, UK

    F. Chiclana

  3. University of Granada, 18071, Granada, Spain

    M. J. del Moral

  4. Department of Computer Science and A.I, University of Granada, 18071, Granada, Spain

    E. Herrera–Viedma

Authors
  1. J. M. Tapia
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  2. F. Chiclana
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  3. M. J. del Moral
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  4. E. Herrera–Viedma
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Corresponding author

Correspondence to J. M. Tapia .

Editor information

Editors and Affiliations

  1. University of Oradea, Oradea, Romania

    Simona Dzitac

  2. New York University Abu Dhabi, Abu Dhabi, United Arab Emirates

    Domnica Dzitac

  3. Romanian Academy, Member of the Romanian Academy, Bucharest, Romania

    Florin Gheorghe Filip

  4. Polish Academy of Sciences, Systems Research Institute, Warszawa, Poland

    Janusz Kacprzyk

  5. Agora University of Oradea, Oradea, Romania

    Misu-Jan Manolescu

  6. University of Oradea, Oradea, Romania

    Horea Oros

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Tapia, J.M., Chiclana, F., del Moral, M.J., Herrera–Viedma, E. (2023). Measuring Consensus in Group Decision-Making Problems Through an Inequality Measure. In: Dzitac, S., Dzitac, D., Filip, F.G., Kacprzyk, J., Manolescu, MJ., Oros, H. (eds) Intelligent Methods Systems and Applications in Computing, Communications and Control. ICCCC 2022. Advances in Intelligent Systems and Computing, vol 1435. Springer, Cham. https://doi.org/10.1007/978-3-031-16684-6_27

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