Journal article Open Access

A Method under Uncertain Information for the Selection of Students in Interdisciplinary Studies

José M. Merigó; Pilar López-Jurado; M.Carmen Gracia; Montserrat Casanovas

We present a method for the selection of students in interdisciplinary studies based on the hybrid averaging operator. We assume that the available information given in the problem is uncertain so it is necessary to use interval numbers. Therefore, we suggest a new type of hybrid aggregation called uncertain induced generalized hybrid averaging (UIGHA) operator. It is an aggregation operator that considers the weighted average (WA) and the ordered weighted averaging (OWA) operator in the same formulation. Therefore, we are able to consider the degree of optimism of the decision maker and grades of importance in the same approach. By using interval numbers, we are able to represent the information considering the best and worst possible results so the decision maker gets a more complete view of the decision problem. We develop an illustrative example of the proposed scheme in the selection of students in interdisciplinary studies. We see that with the use of the UIGHA operator we get a more complete representation of the selection problem. Then, the decision maker is able to consider a wide range of alternatives depending on his interests. We also show other potential applications that could be used by using the UIGHA operator in educational problems about selection of different types of resources such as students, professors, etc.
Files (887.7 kB)
Name Size
887.7 kB Download
  • G. Beliakov, A. Pradera, and T. Calvo, Aggregation Functions: A guide for practitioners, Springer-Verlag, Berlin, 2007.

  • J.M. Merig├│, New Extensions to the OWA Operators and its application in decision making, PhD Thesis (in Spanish), Dept. Business Administration, Univ. Barcelona, Barcelona, Spain, 2008.

  • J.M. Merig├│, and M. Casanovas, "Induced aggregation operators in decision making with Dempster-Shafer belief structure", Int. J. Intelligent Systems (to be published).

  • J.M. Merig├│, M. Casanovas, "The induced generalized hybrid averaging operator and its application in financial decision making", International Journal of Business, Economics, Finance and Management Sciences (submitted for publication).

  • J.M. Merig├│, M. Casanovas, "Uncertain decision making with Dempster-Shafer theory", In Proceedings of the IPMU International Conference, Torremolinos - M├ílaga, Spain, 2008, pp. 425-432.

  • J.M. Merig├│, and A.M. Gil-Lafuente, "The induced generalized OWA operator", Information Sciences, vol. 179, pp. 729-741, 2009.

  • Z.S. Xu, "A Note on Linguistic Hybrid Arithmetic Averaging Operator in Multiple Attribute Group Decision Making with Linguistic Information", Group Decision and Negotiation, vol. 15, pp. 593-604, 2006.

  • Z.S. Xu, "An approach based on the uncertain LOWG and induced uncertain LOWG operators to group decision making with uncertain multiplicative linguistic preference relations", Decision Support Systems, vol. 41, pp. 488-499, 2006.

  • R.R. Yager, and J. Kacprzyck, The Ordered Weighted Averaging Operators: Theory and Applications, Kluwer Academic Publishers, Norwell, MA, 1997. [10] 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. [11] Z.S. Xu, and Q.L. Da, "An Overview of Operators for Aggregating Information", Int. J. Intelligent Systems, vol. 18, pp. 953-969, 2003. [12] R.R. Yager, and D.P. Filev, "Induced ordered weighted averaging operators", IEEE Trans. Syst. Man Cybern., vol. 29, pp. 141-150, 1999. [13] Z.S. Xu, and Q.L. Da, "The Uncertain OWA Operator", Int. J. Intelligent Systems, vol. 17, pp. 569-575, 2002. [14] N. Karayiannis, "Soft Learning Vector Quantization and Clustering Algorithms Based on Ordered Weighted Aggregation Operators", IEEE Trans. Neural Networks, vol. 11, 1093-1105, 2000. [15] R.R. Yager, "Generalized OWA Aggregation Operators", Fuzzy Opt. Decision Making, vol. 3, pp.93-107, 2004. [16] G. Beliakov, "Learning Weights in the Generalized OWA Operators", Fuzzy Opt. Decision Making, vol. 4, pp. 119-130, 2005. [17] T. Calvo, G. Mayor, and R. Mesiar, Aggregation Operators: New Trends and applications, Physica-Verlag, New York, 2002. [18] J. Fodor, J.L. Marichal, and M. Roubens, "Characterization of the ordered weighted averaging operators", IEEE Trans. Fuzzy Systems, vol. 3, pp. 236-240, 1995. [19] J.M. Merig├│, and M. Casanovas, "The fuzzy generalized OWA operator", In Proceedings of the Conference SIGEF 2007, pp. 504-517, Poiana-Brasov, Romania, 2007. [20] J.M. Merig├│, M. Casanovas, "The uncertain generalized OWA operator and its application in the selection of financial strategies", In Proceedings of the International Conference AEDEM 2007, pp. 547- 556, Krakow, Poland, 2007. [21] J.H. Wang, and J. Hao, "A new version of 2-tuple fuzzy linguistic representation model for computing with words", IEEE Trans. Fuzzy Systems, vol. 14, pp. 435-445, 2006. [22] P.A. Schaefer, and H.B. Mitchell, "A generalized OWA operator", Int. J. Intelligent Systems, vol. 14, pp. 123-143, 1999. [23] Z.S. Xu, "A method based on linguistic aggregation operators for group decision making with linguistic preference relations", Information Sciences, vol. 166, pp. 19-30, 2004. [24] R.R. Yager, "On generalized measures of realization in uncertain environments", Theory and Decision, vol. 33, pp. 41-69, 1992. [25] R.R. Yager, "Families of OWA operators", Fuzzy Sets and Systems, vol. 59, pp. 125-148, 1993. [26] R.R. Yager, "Quantifier Guided Aggregation Using OWA operators", Int. J. Intelligent Systems, vol. 11, pp. 49-73, 1996. [27] R.R. Yager, E-Z OWA weights, In Proceedings of the 10th International Fuzzy Systems Association (IFSA) World Congress, Istanbul, Turkey, pp. 39-42, 2003. [28] R.R. Yager, "Induced aggregation operators", Fuzzy Sets and Systems, vol. 137, pp. 59-69, 2003. [29] R.R. Yager, "Centered OWA operators", Soft Computing, vol. 11, pp. 631-639, 2007. [30] R.R. Yager, and D.P. Filev, "Parameterized "andlike" and "orlike" OWA operators", Int. J. General Systems, vol. 22, pp. 297-316, 1994. [31] R. Moore, Interval analysis, Prentice-Hall, Englewood Cliffs, NJ, 1966.

All versions This version
Views 2525
Downloads 1818
Data volume 16.0 MB16.0 MB
Unique views 2424
Unique downloads 1616


Cite as