Single-Preference Consensus Measures Based on Models of Ecological Evenness

1. Alonso, S., Pérez, I.J., Cabrerizo, F.J., Herrera-Viedma, E.: A linguistic consensus model for web 2.0 communities. Applied Soft Computing 13(1), 149–157 (2013)

   Article  Google Scholar 

2. Beliakov, G., Calvo, T., James, S.: Consensus measures constructed from aggregation functions and fuzzy implications. Knowledge-Based Systems 55, 1–8 (2014)

   Article  Google Scholar 

3. Beliakov, G., James, S., Calvo, T.: Aggregating fuzzy implications to measure group consensus. In: Proc. Joint IFSA World Congress and NAFIPS Annual Meeting, Edmonton, Canada, pp. 1016–1021 (2013)

   Google Scholar 

4. Beliakov, G., James, S., Nimmo, D.: Can indices of ecological evenness be used to measure consensus? In: Proc. of FUZZIEEE, Beijing, China (2014)

   Google Scholar 

5. Bosch, R.: Characterizations of Voting Rules and Consensus Measures, Ph.D. Thesis. Universiteit van Tilburg (2006)

   Google Scholar 

6. Bulla, L.: An index of evenness and its associated diversity measure. Oikos 70, 167–171 (1994)

   Article  Google Scholar 

7. Cabrerizo, F., Moreno, J., Pérez, I., Herrera-Viedma, E.: Analyzing consensus approaches in fuzzy group decision making: advantages and drawbacks. Soft Computing 14, 451–463 (2010)

   Article  Google Scholar 

8. Cabrerizo, F.J., Alonso, S., Pérez, I.J., Herrera-Viedma, E.: On consensus measures in fuzzy group decision making. In: Torra, V., Narukawa, Y. (eds.) MDAI 2008. LNCS (LNAI), vol. 5285, pp. 86–97. Springer, Heidelberg (2008)

   Chapter  Google Scholar 

9. Cabrerizo, F.J., Chiclana, F., Uren̈a, M.R., Herrera-Videma, E.: Challenges and open questions in soft consensus models. In: Proc. Joint IFSA World Congress and NAFIPS Annual Meeting, Edmonton, Canada, pp. 944–949 (2013)

   Google Scholar 

10. Chiclana, F., Tapia García, J.M., del Moral, M.J., Herrera-Viedma, E.: A statistical comparative study of different similarity measures of consensus in group decision making. Information Sciences 221, 110–123 (2013)

    Article  MathSciNet  Google Scholar 

11. Dalton, H.: The measurement of the inequality of incomes. The Economic Journal 30, 348–361 (1920)

    Article  Google Scholar 

12. García-Lapresta, J.L., Pérez-Román, D.: Consensus measures generated by weighted Kemeny distances on weak orders. In: Proceedings of ISDA, Cairo, Egypt, pp. 463–468 (2010)

    Google Scholar 

13. García-Lapresta, J.L., Pérez-Román, D.: Measuring consensus in weak orders. In: Herrera-Viedma, E., García-Lapresta, J., Kacprzyk, J., Fedrizzi, M., Nurmi, H., Zadrożny, S. (eds.) Consensual Processes. STUDFUZZ, vol. 267, pp. 213–234. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

14. García-Lapresta, J.L., Pérez-Román, D.: Consensus-based hierarchical agglomerative clustering in the context of weak orders. In: Proceedings of IFSA World Congress, Edmonton, Canada, pp. 1010–1015 (2013)

    Google Scholar 

15. García-Lapresta, J.L., Román, D.P.: Some measures of consensus generated by distances on weak orders. In: Proceedings of XIV Congreso Español sobre Tecnologías y Lógica Fuzzy, Cuencas Mineras, September 17-19, pp. 477–483 (2008)

    Google Scholar 

16. Heip, C.: A new index measuring evenness. Journal of Marine Biological Association of the United Kingdom 54(3), 555–557 (1974)

    Article  Google Scholar 

17. Heiser, W.J., D’Ambrosio, A.: Clustering and prediction of rankings within a Kemeny distance framework. In: Algorithms from and for Nature and Life, pp. 19–31. Springer International Publishing (2013)

    Google Scholar 

18. Herrera-Viedma, E., Herrera, F., Chiclana, F.: A consensus model for multiperson decision making with different preference structures. IEEE Transactions on Systems, Man and Cybernetics – Part A: Systems and Humans 32, 394–402 (2002)

    Article  Google Scholar 

19. Krebs, C.J.: Ecological Methodology. Harper Collins, New York (1989)

    Google Scholar 

20. Martín, J., Mayor, G.: Multi-argument distances. Fuzzy Sets and Systems 167, 92–100 (2011)

    Article  MathSciNet  MATH  Google Scholar 

21. Pielou, E.C.: An Introduction to Mathematical Ecology. Wiley-Interscience, New York (1969)

    MATH  Google Scholar 

22. Ricotta, C.: A recipe for unconventional evenness measures. Acta Biotheoretica 52, 95–104 (2004)

    Article  Google Scholar 

23. Shannon, C.E., Weaver, W.: The mathematical theory of communication. Univ. of Illinois Press, Urbana (1949)

    MATH  Google Scholar 

24. Simpson, E.H.: Measurement of diversity. Nature 163, 688 (1949)

    Article  MATH  Google Scholar 

25. Smith, B., Wilson, J.B.: A consumer’s guide to evenness indices. Oikos 76, 70–82 (1996)

    Article  Google Scholar 

26. Szmidt, E., Kacprzyk, J.: Analysis of consensus under intuitionistic fuzzy preferences. In: Proc. Int. Conf. in Fuzzy Logic and Technology, Leicester, pp. 79–82, De Montfort University (2001)

    Google Scholar 

27. Taillie, C.: Species equitibility: a comparative approach. In: Ecological Diversity in Theory and Practice, pp. 51–62. Int. Coop. Publ. House, Fairland (1979)

    Google Scholar 

28. Tastle, W.J., Wierman, M.J., Dumdum, U.R.: Ranking ordinal scales using the consensus measure. Issues in Information Systems 185, 96–102 (2006)

    Google Scholar 

29. Tuomisto, H.: An updated consumer’s guide to evenness and related indices. Oikos 121, 1203–1218 (2012)

    Article  Google Scholar 

30. Williams, C.B.: Patterns in the balance of nature. Academic Press, London (1964)

    Google Scholar 

31. Xu, Z., Cai, X.: Group consensus algorithms based on preference relations. Information Sciences 181, 150–162 (2011)

    Article  MATH  Google Scholar 

32. Xu, Z., Cai, X.: On consensus of group decision making with interval utility values and interval preference orderings. Group Decision and Negotiation 22, 997–1019 (2013)

    Article  Google Scholar 

33. Yager, R.R.: On the specificity of a possibility distribution. Fuzzy Sets and Systems 50, 279–292 (1992)

    Article  MathSciNet  MATH  Google Scholar 

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