Attitudinal Character Involved Educational Evaluation Models Under Different OWA Aggregation Operators
International Journal of Management and Fuzzy Systems
Volume 2, Issue 1, February 2016, Pages: 1-5
Received: Apr. 4, 2016;
Accepted: May 10, 2016;
Published: Jun. 3, 2016
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Cheng Zhu, School of Mathematical Science, Nanjing Normal University, Nanjing, China
OWA operators, introduced by Yager, are very important non linear aggregation functions in both academic studies and a myriad of applications. In this study, we use two dimensional OWA aggregation function into pedagogical evaluation practice, which will involve the preferences and experiences of decision makers and teachers. In addition, we also introduce a long time educational evaluation model based on Stancu OWA operators with two same parameters. The model involves time orness degree given by teachers and is useful for monitoring long time teaching and learning process in schools.
Attitudinal Character Involved Educational Evaluation Models Under Different OWA Aggregation Operators, International Journal of Management and Fuzzy Systems.
Vol. 2, No. 1,
2016, pp. 1-5.
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/
) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
O. Aristondo, J. L. García-Lapresta, C. Lasso de la Vega, R. A. Marques Pereira, Classical inequality indices, welfare and illfare functions, and the dual decomposition, Fuzzy Sets Syst. 228 (2013) 114–136.
M. Grabisch, J. L. Marichal, R. Mesiar, E. Pap, Aggregation Functions, Cambridge University Press 2009, ISBN: 1107013429.
L. Jin, Some properties and representation methods for Ordered Weighted Averaging operators, Fuzzy Sets Syst. 261 (2015) 60–86.
L. Jin, G. Qian, OWA Generation Function and some adjustment methods for OWA operators with Application, IEEE Trans. Fuzzy Syst. 24 (1) (2016) 168–178.
L. Jin, M. Kalina, G. Qian, Discrete and continuous recursive forms for OWA operators, (submitted paper)
A. Kolesárová, R. Mesiar, On linear and quadratic constructions of aggregation functions, Fuzzy Sets Syst. 268 (2014) 1–14.
T. Leon, P. Zuccarello, G. Ayala, E. de Ves, J. Domingo, Applying logistic regression to relevance feedback in image retrieval systems, Pattern Recognit. 40 (2007) 2621–2632.
X. W. Liu, S. L. Han, Orness and parameterized RIM quantifier aggregation with OWA operators: A summary, Int. J. Approx. Reasoning 48 (2008) 77–97.
J. M. Merigo, A. M. Gil-Lafuente, The induced generalized OWA operator, Inf. Sci. 179 (6) (2009) 729–741.
R. Mesiar, A. Stupňanová, R. R. Yager, Generalizations of OWA operators, IEEE Trans. Fuzzy Syst. 23 (6) (2015) 2154–2162.
R. Mesiar, E. Pap, Aggregation of infinite sequences, Inf. Sci. 178 (2008) 3557–3564.
A. K. Singh, A. Kishor, N. R. Pal. Stancu OWA Operator, IEEE Trans. Fuzzy Syst. 23 (4) (2015) 1306–1313.
J. Špirková, Weighted operators based on dissimilarity function, Inf. Sci. 281 (2014) 172–181.
V. Torra, The weighted OWA operator, Int. J. Intell. Syst. 12 (1997) 153–166.
L. Troiano, R. R. Yager, Recursive and iterative OWA operators, Int. J. Uncertainty Fuzziness Knowl.-Based Syst. 13(6) (2005) 579–599.
R. R. Yager, On ordered weighted averaging aggregation operators in multicriteria decision making, IEEE Trans. Syst. Man Cybern. 18 (1) (1988) 183–190.
R. R. Yager, Time series smoothing and OWA aggregation, IEEE Trans. Fuzzy Syst. 16 (4) (2008) 994–1007.
R. R. Yager, Families of OWA operators, Fuzzy Sets Syst. 59 (1993) 125–143.
R. R. Yager, J. Kacprzyk, G. Beliakov, Recent Developments on the Ordered Weighted Averaging Operators: Theory and Practice, Springer-Verlag, Berlin, 2011.
R. R. Yager, R. Mesiar, On the Transformation of Fuzzy Measures to the Power Set and its Role in Determining the Measure of a Measure, IEEE Trans. Fuzzy Syst. 23 (4) (2015) 842–849.