Geometric Operators in the Selection of Human Resources

We study the possibility of using geometric operators in the selection of human resources. We develop three new methods that use the ordered weighted geometric (OWG) operator in different indexes used for the selection of human resources. The objective of these models is to manipulate the neutrality of the old methods so the decision maker is able to select human resources according to his particular attitude. In order to develop these models, first a short revision of the OWG operator is developed. Second, we briefly explain the general process for the selection of human resources. Then, we develop the three new indexes. They will use the OWG operator in the Hamming distance, in the adequacy coefficient and in the index of maximum and minimum level. Finally, an illustrative example about the new approach is given.




References:
[1] A. Kaufmann, and J. Gil Aluja, Introducción de la teoría de los
subconjuntos borrosos a la gesti├│n de las empresas, Ed. Milladoiro,
Spain, 1986, in Spanish.
[2] A. Kaufmann, and J. Gil Aluja, Técnicas operativas de gesti├│n para el
tratamiento de la incertidumbre, Ed. Hispano-europea, Spain, 1987, in
Spanish.
[3] J. Gil Aluja, The interactive management of human resources in
uncertainty, Kluwer Academic Publishers, Dordrecht, 1998.
[4] A.M. Gil-Lafuente, Fuzzy logic in financial analysis, Springer, Berlin,
2005.
[5] J.M. Merig├│, and A.M. Gil-Lafuente, "Unification point in methods for
the selection of financial products", Fuzzy Economic Review, vol. 12,
pp. 35-50, 2007.
[6] J.M. Merig├│, and A.M. Gil-Lafuente, "Using the OWA operators in the
selection of financial products", in Proc. 41th CLADEA Conf.,
Montpellier, France, 2006, CD-ROM.
[7] J.M. Merig├│, and A.M. Gil-Lafuente, "Using the OWG operators in the
selection of financial products", Lectures on Modelling and Simulation,
vol. 2006 (3), pp. 49-55, 2006.
[8] A.M. Gil-Lafuente, and J.M. Merig├│, "Acquisition of financial products
that adapt to different environments", Lectures on Modelling and
Simulation, vol. 2006 (3), pp. 42-48, 2006.
[9] J. Gil-Lafuente, "El "índice del máximo y mínimo nivel" en la
optimizaci├│n del fichaje de un deportista", in 10th AEDEM Int.
Congress, Reggio Calabria, Italy, 2001, pp. 439-443.
[10] J. Gil-Lafuente, Algoritmos para la excelencia. Claves para el éxito en
la gesti├│n deportiva, Ed. Milladoiro, Vigo, Spain, 2002, in Spanish.
[11] F. Chiclana, F. Herrera, and E. Herrera-Viedma, "The ordered weighted
geometric operator: Properties and application", in Proc. 8th Conf.
Inform. Processing and Management of Uncertainty in Knowledgebased
Systems (IPMU), Madrid, Spain, 2000, pp. 985-991.
[12] F. Chiclana, F. Herrera, E. Herrera-Viedma, "Integrating multiplicative
preferente relations in a multipurpose decision-making model based on
fuzzy preference relations", Fuzzy Sets and Systems, vol. 122, pp. 277-
291, 2001.
[13] F. Chiclana, F. Herrera, E. Herrera-Viedma, "Multiperson Decision
Making Based on Multiplicative Preference Relations", European J.
Operational Research, vol. 129, pp. 372-385, 2001.
[14] Z.S. Xu, and Q.L. Da, "The Ordered Weighted Geometric Averaging
Operators", Int. J. Intelligent Systems, vol. 17, pp. 709-716, 2002.
[15] F. Herrera, E. Herrera-Viedma, and F. Chiclana, "A study of the origin
and uses of the ordered weighted geometric operator in multicriteria
decision making", Int. J. Intelligent Systems, vol. 18, pp. 689-707,
2003.
[16] Z.S. Xu, and Q.L. Da, "An Overview of Operators for Aggregating
Information", Int. J. Intelligent Systems, vol. 18, pp. 953-969, 2003.
[17] F. Chiclana, F. Herrera, E. Herrera-Viedma, and S. Alonso, "Induced
ordered weighted geometric operators and their use in the aggregation of
multiplicative preference relations", Int. J. Intelligent Systems, vol. 19,
pp. 233-255, 2004.
[18] J.M. Merig├│, and M. Casanovas, "Ordered weighted geometric
operators in decision making with Dempster-Shafer belief structure", in
Proc. 13th Congress Int. Association for Fuzzy Set Management and
Economy (SIGEF), Hammamet, Tunisia, 2006, pp 709-727.
[19] J.M. Merig├│, and M. Casanovas, "Geometric operators in decision
making with minimization of regret", International Journal of
Computer Systems Science and Engineering, vol. 1, pp. 111-118, 2008.
[20] R.R. Yager, and Z.S. Xu, "The continuous ordered weighted geometric
operator and its application to decision making", Fuzzy Sets and
Systems, vol. 157, pp. 1393-1402, 2006.
[21] Z.S. Xu, and R.R. Yager, "Some geometric aggregation operators based
on intuitionistic fuzzy sets", Int. J. General Systems, vol. 35, pp. 417-
433, 2006.
[22] R.R. Yager, "On Ordered Weighted Averaging Aggregation Operators
in Multi-Criteria Decision Making", IEEE Trans. Systems, Man and
Cybernetics, vol. 18, pp. 183-190, 1988.
[23] R.R. Yager, and J. Kacprzyck, The Ordered Weighted Averaging
Operators: Theory and Applications, Kluwer Academic Publishers,
Norwell, MA, 1997.
[24] T. Calvo, G. Mayor, and R. Mesiar, Aggregation Operators: New
Trends and applications, Physica-Verlag, New York, 2002.
[25] Z.S. Xu, "An Overview of Methods for Determining OWA Weights",
Int. J. Intelligent Systems, vol. 20, pp. 843-865, 2005.
[26] J.M. Merig├│, New Extensions to the OWA Operators and its application
in business decision making, Thesis (in Spanish), Dept. Business
Administration, Univ. Barcelona, Barcelona, Spain, 2007.
[27] J.M. Merig├│, and M. Casanovas, "Decision making using maximization
of negret", International Journal of Computational Intelligence, vol. 4,
pp. 171-178, 2008.