A Discriminative Dynamic Index Based on Bipolar Aggregation Operators for Supporting Dynamic Multi-criteria Decision Making

  • Yeleny Zulueta
  • Juan Martínez-Moreno
  • Luis Martínez
  • Macarena Espinilla
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 228)

Abstract

While Multi-Criteria Decision Making (MCDM) models are focus on selecting the best alternative from a finite number of feasible solutions according to a set of criteria, in Dynamic Multi-Criteria Decision Making (DMCDM) the selection process also takes into account the temporal performance of such alternatives during different time periods. In this contribution is proposed a new discriminative dynamic index to handling differences in temporal behavior of alternatives, which are not discriminated in preceding dynamic approaches. An example is provided to illustrate the feasibility and effectiveness of the proposed index.

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References

  1. 1.
    De Baets, B., Fodor, J.: Van melle’s combining function in mycin is a representable uninorm: An alternative proof. Fuzzy Sets and Systems 104, 133–136 (1998)CrossRefGoogle Scholar
  2. 2.
    Beliakov, G., Pradera, A., Calvo, T.: Aggregation Functions: A Guide for Practitioners. STUDFUZZ, vol. 221. Springer, Heidelberg (2008)Google Scholar
  3. 3.
    Campanella, G., Pereira, A., Ribeiro, R.A., Varela, M.L.R.: Collaborative dynamic decision making: A case study from B2B supplier selection. In: Hernández, J.E., Zarate, P., Dargam, F., Delibašić, B., Liu, S., Ribeiro, R. (eds.) EWG-DSS 2011. LNBIP, vol. 121, pp. 88–102. Springer, Heidelberg (2012)CrossRefGoogle Scholar
  4. 4.
    Campanella, G., Ribeiro, R.: A framework for dynamic multiple-criteria decision making. Decision Support Systems 52(1), 52–60 (2011)CrossRefGoogle Scholar
  5. 5.
    Dubois, D., Prade, H.: An introduction to bipolar representations of information and preference. Int. J. Intell. Syst. 23(8), 866–877 (2008)CrossRefMATHGoogle Scholar
  6. 6.
    Grabisch, M., De Baets, B., Fodor, J.: The quest for rings on bipolar scales. International Journal of Uncertainty, Fuzziness, and Knowledge-Based Systems 12(4), 499–512 (2004)CrossRefMATHMathSciNetGoogle Scholar
  7. 7.
    Grabisch, M.: Aggregation on bipolar scales. In: de Swart, H.C.M., Orlowska, E., Schmidt, G., Roubens, M. (eds.) Theory and Applications of Relational Structures as Knowledge Instruments II, pp. 355–371 (2006)Google Scholar
  8. 8.
    Lin, Y., Lee, P., Ting, H.: Dynamic multi-attribute decision making model with grey number evaluations. Expert Systems with Applications 35, 1638–1644 (2008)CrossRefGoogle Scholar
  9. 9.
    Pap, E.: g-calculus. Rad. Prirod.-Mat. Fak. Ser. Mat. 23(1), 145–156 (1993)Google Scholar
  10. 10.
    Pap, E.: Pseudo-additive measures and their applications. In: Handbook of Measure Theory. Elsevier Science (2002)Google Scholar
  11. 11.
    Pap, E.: Applications of the generated pseudo-analysis to nonlinear partial differential equations. Contemporary Mathematics 377, 239–259 (2005)CrossRefMathSciNetGoogle Scholar
  12. 12.
    Pedrycz, W., Ekel, P., Parreiras, R.: Models and algorithms of fuzzy multicriteria decisionmaking and their applications. Wiley, West Sussex (2011)Google Scholar
  13. 13.
    Ribeiro, R.A., Pais, T.C., Simões, L.F.: Benefits of Full-Reinforcement Operators for Spacecraft Target Landing. In: Greco, S., Pereira, R.A.M., Squillante, M., Yager, R.R., Kacprzyk, J. (eds.) Preferences and Decisions. STUDFUZZ, vol. 257, pp. 353–367. Springer, Heidelberg (2010)CrossRefGoogle Scholar
  14. 14.
    Saaty, T.: Time dependent decision-making; dynamic priorities in the ahp/anp: Generalizing from points to functions and from real to complex variables. Mathematical and Computer Modelling 46(78), 860–891 (2007)CrossRefMATHMathSciNetGoogle Scholar
  15. 15.
    Teng, D.: Topsis method for dynamic evaluation of hi-tech enterprises strategic performance with intuitionistic fuzzy information. Advances in Information Sciences and Service Sciences 3(11), 443–449 (2011)CrossRefGoogle Scholar
  16. 16.
    Triantaphyllou, E.: Multi-criteria decision making methods: A comparative study. In: Applied Optimization. Applied Optimization Series, vol. 44. Kluwer Academic (2000)Google Scholar
  17. 17.
    Tsadiras, A., Margaritis, K.: The mycin certainty factor handling function as uninorm operator and its use as a threshold function in artificial neurons. Fuzzy Sets and Systems 93, 263–274 (1998)CrossRefMathSciNetGoogle Scholar
  18. 18.
    Xu, Z.: On multi-period multi-attribute decision making. Knowledge-Based Systems 21(2), 164–171 (2008)CrossRefGoogle Scholar
  19. 19.
    Xu, Z., Yager, R.: Dynamic intuitionistic fuzzy multi-attribute decision making. International Journal of Approximate Reasoning 48(1), 246–262 (2008)CrossRefMATHMathSciNetGoogle Scholar
  20. 20.
    Yager, R., Rybalov, A.: Uninorm aggregation operators. Fuzzy Sets and Systems 80, 111–120 (1996)CrossRefMATHMathSciNetGoogle Scholar
  21. 21.
    Yager, R., Rybalov, A.: A note on the incompatibility of openness and associativity. Fuzzy Sets and Systems 89, 125–127 (1997)CrossRefMATHMathSciNetGoogle Scholar
  22. 22.
    Yager, R., Rybalov, A.: Full reinforcement operators in aggregation techniques. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 28(6), 757–769 (1998)CrossRefGoogle Scholar
  23. 23.
    Yager, R., Rybalov, A.: Bipolar aggregation using the Uninorms. Fuzzy Optimi Decis Making 10(1), 59–70 (2010)CrossRefMathSciNetGoogle Scholar
  24. 24.
    Yao, S.: A distance method for multi-period fuzzy multi-attribute decision making, pp. 1–4 (2010)Google Scholar
  25. 25.
    Zhang, L., Zou, H., Yang, F.: A dynamic web service composition algorithm based on TOPSIS. Journal of Networks 6(9), 1296–1304 (2011)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Yeleny Zulueta
    • 1
  • Juan Martínez-Moreno
    • 2
  • Luis Martínez
    • 2
  • Macarena Espinilla
    • 2
  1. 1.Carretera San Antonio de los BañosUniversity of Informatics ScienceHavanaCuba
  2. 2.University of JaenJaenSpain

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