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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
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)
Beliakov, G., Pradera, A., Calvo, T.: Aggregation Functions: A Guide for Practitioners. STUDFUZZ, vol. 221. Springer, Heidelberg (2008)
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)
Campanella, G., Ribeiro, R.: A framework for dynamic multiple-criteria decision making. Decision Support Systems 52(1), 52–60 (2011)
Dubois, D., Prade, H.: An introduction to bipolar representations of information and preference. Int. J. Intell. Syst. 23(8), 866–877 (2008)
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)
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)
Lin, Y., Lee, P., Ting, H.: Dynamic multi-attribute decision making model with grey number evaluations. Expert Systems with Applications 35, 1638–1644 (2008)
Pap, E.: g-calculus. Rad. Prirod.-Mat. Fak. Ser. Mat. 23(1), 145–156 (1993)
Pap, E.: Pseudo-additive measures and their applications. In: Handbook of Measure Theory. Elsevier Science (2002)
Pap, E.: Applications of the generated pseudo-analysis to nonlinear partial differential equations. Contemporary Mathematics 377, 239–259 (2005)
Pedrycz, W., Ekel, P., Parreiras, R.: Models and algorithms of fuzzy multicriteria decisionmaking and their applications. Wiley, West Sussex (2011)
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)
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)
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)
Triantaphyllou, E.: Multi-criteria decision making methods: A comparative study. In: Applied Optimization. Applied Optimization Series, vol. 44. Kluwer Academic (2000)
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)
Xu, Z.: On multi-period multi-attribute decision making. Knowledge-Based Systems 21(2), 164–171 (2008)
Xu, Z., Yager, R.: Dynamic intuitionistic fuzzy multi-attribute decision making. International Journal of Approximate Reasoning 48(1), 246–262 (2008)
Yager, R., Rybalov, A.: Uninorm aggregation operators. Fuzzy Sets and Systems 80, 111–120 (1996)
Yager, R., Rybalov, A.: A note on the incompatibility of openness and associativity. Fuzzy Sets and Systems 89, 125–127 (1997)
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)
Yager, R., Rybalov, A.: Bipolar aggregation using the Uninorms. Fuzzy Optimi Decis Making 10(1), 59–70 (2010)
Yao, S.: A distance method for multi-period fuzzy multi-attribute decision making, pp. 1–4 (2010)
Zhang, L., Zou, H., Yang, F.: A dynamic web service composition algorithm based on TOPSIS. Journal of Networks 6(9), 1296–1304 (2011)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
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
Download citation
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
eBook Packages: EngineeringEngineering (R0)