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

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Aggregation Functions in Theory and in Practise

Part of the book series: Advances in Intelligent Systems and Computing ((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. 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)

    Article  Google Scholar 

  2. Beliakov, G., Pradera, A., Calvo, T.: Aggregation Functions: A Guide for Practitioners. STUDFUZZ, vol. 221. Springer, Heidelberg (2008)

    Google Scholar 

  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)

    Chapter  Google Scholar 

  4. Campanella, G., Ribeiro, R.: A framework for dynamic multiple-criteria decision making. Decision Support Systems 52(1), 52–60 (2011)

    Article  Google Scholar 

  5. Dubois, D., Prade, H.: An introduction to bipolar representations of information and preference. Int. J. Intell. Syst. 23(8), 866–877 (2008)

    Article  MATH  Google Scholar 

  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)

    Article  MATH  MathSciNet  Google Scholar 

  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. Lin, Y., Lee, P., Ting, H.: Dynamic multi-attribute decision making model with grey number evaluations. Expert Systems with Applications 35, 1638–1644 (2008)

    Article  Google Scholar 

  9. Pap, E.: g-calculus. Rad. Prirod.-Mat. Fak. Ser. Mat. 23(1), 145–156 (1993)

    Google Scholar 

  10. Pap, E.: Pseudo-additive measures and their applications. In: Handbook of Measure Theory. Elsevier Science (2002)

    Google Scholar 

  11. Pap, E.: Applications of the generated pseudo-analysis to nonlinear partial differential equations. Contemporary Mathematics 377, 239–259 (2005)

    Article  MathSciNet  Google Scholar 

  12. Pedrycz, W., Ekel, P., Parreiras, R.: Models and algorithms of fuzzy multicriteria decisionmaking and their applications. Wiley, West Sussex (2011)

    Google Scholar 

  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)

    Chapter  Google Scholar 

  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)

    Article  MATH  MathSciNet  Google Scholar 

  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)

    Article  Google Scholar 

  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. 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)

    Article  MathSciNet  Google Scholar 

  18. Xu, Z.: On multi-period multi-attribute decision making. Knowledge-Based Systems 21(2), 164–171 (2008)

    Article  Google Scholar 

  19. Xu, Z., Yager, R.: Dynamic intuitionistic fuzzy multi-attribute decision making. International Journal of Approximate Reasoning 48(1), 246–262 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  20. Yager, R., Rybalov, A.: Uninorm aggregation operators. Fuzzy Sets and Systems 80, 111–120 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  21. Yager, R., Rybalov, A.: A note on the incompatibility of openness and associativity. Fuzzy Sets and Systems 89, 125–127 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  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)

    Article  Google Scholar 

  23. Yager, R., Rybalov, A.: Bipolar aggregation using the Uninorms. Fuzzy Optimi Decis Making 10(1), 59–70 (2010)

    Article  MathSciNet  Google Scholar 

  24. Yao, S.: A distance method for multi-period fuzzy multi-attribute decision making, pp. 1–4 (2010)

    Google Scholar 

  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 

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Correspondence to Yeleny Zulueta .

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Zulueta, Y., Martínez-Moreno, J., Martínez, L., Espinilla, M. (2013). A Discriminative Dynamic Index Based on Bipolar Aggregation Operators for Supporting Dynamic Multi-criteria Decision Making. In: Bustince, H., Fernandez, J., Mesiar, R., Calvo, T. (eds) Aggregation Functions in Theory and in Practise. Advances in Intelligent Systems and Computing, vol 228. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39165-1_25

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  • DOI: https://doi.org/10.1007/978-3-642-39165-1_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39164-4

  • Online ISBN: 978-3-642-39165-1

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