Publication Cover
Cybernetics and Systems
An International Journal
Volume 47, 2016 - Issue 6
152
Views
17
CrossRef citations to date
0
Altmetric
Articles

Decision Making in Reinsurance with Induced OWA Operators and Minkowski Distances

, &
Pages 460-477 | Published online: 05 Aug 2016

References

  • Beliakov, G., A. Pradera, and T. Calvo. 2007. Aggregation functions: A guide for practitioners. Berlin: Springer-Verlag.
  • Belles-Sampera, J., J. M. Merigó, M. Guillén, and M. Santolino. 2013. The connection between distortion risk measures and ordered weighted averaging operators. Insurance: Mathematics and Economics 52:411–20. doi:10.1016/j.insmatheco.2013.02.008
  • Bolton, J., P. Gader, and J. N. Wilson. 2008. Discrete Choquet integral as a distance measure. IEEE Transactions on Fuzzy Systems 16:1107–10. doi:10.1109/tfuzz.2008.924347
  • De Andrés, J., and A. T. Gómez. 2002. Actuarial applications of the theory of fuzzy subsets. CIMBAGE 5:1–39. (In Spanish).
  • Figueira, J., S. Greco, and M. Ehrgott. 2005. Multiple criteria decision analysis: State of the art surveys. Boston, MA: Springer.
  • Gil-Aluja, J. 1999. Elements for a theory of decision in uncertainty. Dordrecht: Kluwer Academic Publishers.
  • Grabisch, M., J. L. Marichal, R. Mesiar, and E. Pap. 2011. Aggregation functions: Means. Information Sciences 181:1–22.
  • Hamming, R. W 1950. Error-detecting and error-correcting codes. Bell Systems Technical Journal 29:147–60. doi:10.1002/j.1538-7305.1950.tb00463.x
  • He, Y., H. Chen, L. Zhou, J. Liu, and Z. Tao. 2014. Intuitionistic fuzzy geometric interaction averaging operators and their application to multi-criteria decision making. Information Sciences 259:142–59. doi:10.1016/j.ins.2013.08.018
  • Kaufmann, A. 1975. Introduction to the theory of fuzzy subsets. New York, NY: Academic Press.
  • Lemaire, J. 1990. Fuzzy insurance. ASTIN Bulletin 20:33–55. doi:10.2143/ast.20.1.2005482
  • Linares-Mustarós, S., J. M. Merigó, and J. C. Ferrer-Comalat. 2015. Processing extreme values in sales forecasting. Cybernetics and Systems 46:207–29. doi:10.1080/01969722.2015.1012891
  • Merigó, J. M. 2013. The probabilistic weighted averaging distance and its application in group decision making. Kybernetes 42:686–97. doi:10.1108/k-06-2013-0107
  • Merigó, J. M., and M. Casanovas. 2011a. A new Minkowski distance based on induced aggregation operators. International Journal of Computational Intelligence Systems 4:123–33. doi:10.1080/18756891.2011.9727769
  • Merigó, J. M., and M. Casanovas. 2011b. Decision-making with distance measures and induced aggregation operators. Computers & Industrial Engineering 60:66–76. doi:10.1016/j.cie.2010.09.017
  • Merigó, J. M., and M. Casanovas. 2011c. Induced aggregation operators in the Euclidean distance and its application in financial decision making. Expert Systems with Applications 38:7603–08. doi:10.1016/j.eswa.2010.12.103
  • Merigó, J. M., and A. M. Gil-Lafuente. 2010. New decision-making techniques and their application in the selection of financial products. Information Sciences 180:2085–94. doi:10.1016/j.ins.2010.01.028
  • Merigó, J. M., and A. M. Gil-Lafuente. 2012. Decision-making techniques with similarity measures and OWA operators. SORT-Statistics and Operations Research Transactions 36:81–101.
  • Merigó, J. M., and A. M. Gil-Lafuente. 2013. A method for decision making based on generalized aggregation operators. International Journal of Intelligent Systems 28:453–73. doi:10.1002/int.21585
  • Merigó, J. M., A. M. Gil-Lafuente, and R. R. Yager. 2015. An overview of fuzzy research with bibliometric indicators. Applied Soft Computing 27:420–33. doi:10.1016/j.asoc.2014.10.035
  • Merigó, J. M., Y. Xu, and S. Zeng. 2013. Group decision making with distance measures and probabilistic information. Knowledge-Based Systems 40:81–87. doi:10.1016/j.knosys.2012.11.014
  • Merigó, J. M., and R. R. Yager. 2013. Generalized moving averages, distance measures and OWA operators. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 21:533–59. doi:10.1142/s0218488513500268
  • Mondragón, J. R. 2009. Economic optimization of the ceded reinsurance: Decision models. Madrid, Spain: Fundación Mapfre (In Spanish).
  • Su, W., W. Peng, S. Zeng, B. Peng, and T. Pan. 2013. A method for fuzzy group decision making based on induced aggregation operators and Euclidean distance. International Transactions in Operational Research 20:579–94. doi:10.1111/itor.12015
  • Tao, Z., H. Chen, L. Zhou, and J. Liu. 2014. A generalized multiple attributes group decision making approach based on intuitionistic fuzzy sets. International Journal of Fuzzy Systems 16:184–95.
  • Xu, Z. 2012. Fuzzy ordered distance measures. Fuzzy Optimization and Decision Making 11:73–97. doi:10.1007/s10700-011-9113-6
  • Xu, Z., and J. Chen. 2008. Ordered weighted distance measures. Journal of Systems Science and Systems Engineering 17:432–45.
  • Yager, R. R. 1988. On ordered weighted averaging aggregation operators in multicriteria decision-making. IEEE Transactions on Systems, Man and Cybernetics 18:183–90. doi:10.1109/21.87068
  • Yager, R. R. 1993. Families of OWA operators. Fuzzy Sets and Systems 59:125–48. doi:10.1016/0165-0114(93)90194-m
  • Yager, R. R. 1998. Including importances in OWA aggregations using fuzzy systems modeling. IEEE Transactions on Fuzzy Systems 6:286–94. doi:10.1109/91.669028
  • Yager, R. R., and D. P. Filev. 1999. Induced ordered weighted averaging operators. IEEE Transactions on Systems, Man and Cybernetics B 29:141–50. doi:10.1109/3477.752789
  • Yager, R. R, J. Kacprzyk, and G. Beliakov. 2011. Recent developments on the ordered weighted averaging operators: Theory and practice. Berlin: Springer-Verlag.
  • Zadeh, L. A 1965. Fuzzy sets. Information and Control 8:338–53.
  • Zavadskas, E. K, and Z. Turskis. 2011. Multiple criteria decision making (MCDM) methods in economics: An overview. Technological and Economic Development of Economy 17:397–427. doi:10.3846/20294913.2011.593291
  • Zeng, S. 2013a. Decision making with the uncertain IMOWAD operator. Kybernetes 42:785–99. doi:10.1108/k-03–2013-0059
  • Zeng, S. 2013b. Some intuitionistic fuzzy weighted distance measures and their application to group decision making. Group Decision and Negotiation 22:281–98. doi:10.1007/s10726-011-9262-6
  • Zhao, X., R. Lin, and G. Wei. 2014. Hesitant triangular fuzzy information aggregation based on Einstein operations and their application to multiple attribute decision making. Expert Systems with Applications 41:1086–94. doi:10.1016/j.eswa.2013.07.104
  • Zhou, L., H. Chen, and J. Liu. 2013. Continuous ordered weighted distance measure and its application to multiple attribute group decision making. Group Decision and Negotiation 22:739–58. doi:10.1007/s10726-012-9289-3

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.