Abstract
The OWA (Ordered Weighted Averaging) aggregation operators have been extensively adopted to assign the relative weights of numerous criteria. However, previous aggregation operators (including OWA) are independent of aggregation situations. To solve the problem, this study proposes a new aggregation model – dynamic fuzzy OWA operators based on situation model, which can modify the associated dynamic weight based on the aggregation situation and can work like a “magnifying lens” to enlarge the most important attribute dependent on minimal information, or can obtain equal attribute weights based on maximal information. We also apply proposed model to evaluate the service quality of airline.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Beliakov, G., Warren, J.: Appropriate Choice of Aggregation Operators in Fuzzy Decision Support Systems. IEEE Transactions on Fuzzy Systems 9(6), 773–784 (2001)
Borcherding, K., Epple, T., Winterfeldt, D.V.: Comparison of weighting judgments in multi-attribute utility measurement. Management Science 37(12), 1603–1619 (1991)
Carbonell, M., Mas, M., Mayor, G.: On a class of Monotonic Extended OWA Operators. In: Proceedings of the Sixth IEEE International Conference on Fuzzy Systems (IEEEFUZZ 1997) Barcelona, Catalunya, Spain, pp. 1695–1699 (1997)
Chen, S.M.: Fuzzy group decision making for evaluating the rate of aggregative risk in software development. Fuzzy Sets and Systems 118, 75–88 (2001)
Choi, D.Y.: A new aggregation method in a fuzzy environment. Decision Support Systems 25, 39–51 (1999)
Filev, D., Yager, R.R.: On the issue of obtaining OWA operator weights. Fuzzy Sets and Systems 94, 157–169 (1998)
Fuller, R., Majlender, P.: An analytic approach for obtaining maximal entropy OWA operator weights. Fuzzy Sets and Systems 124, 53–57 (2001)
Jaynes, E.T.: Cleaning up mysteries: The original goal, Maximum Entropy and Bayesian Methods. Kluwer, Dordrecht (1989)
Klir, G.J.: Fuzzy Sets, Uncertainly and information. Prentice Hall, Englewood Cliffs (1988)
Klir, G.J., Wierman, M.J.: Uncertainty-Based Information, 2nd edn. Physica-Verlag, Germany (1999)
Lee, H.M.: Group decision making using fuzzy sets theory for evaluating the rate of aggregative risk in software development. Fuzzy Sets and Systems 80, 261–271 (1996)
Mendel, J.M.: Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Prentice Hall PTR, Upper Saddle River (2000)
Mesiar, R., Saminger, S.: Domination of ordered weighted averaging operators over tnorms. Soft Computing 8, 562–570 (2004)
Moshkovich, H.M., Schellenberger, R.E., Olson, D.L.: Data influences the result more than preferences: Some lessons from implementation of multiattribute techniques in a real decision task. Decision Support Systems 22, 73–84 (1998)
O’Hagan, M.: Aggregating template or rule antecedents in real-time expert systems with fuzzy set logic. In: Proc. 22nd Annu. IEEE Asilomar Conf. On Signals, Systems, Computers, Pacific Grove, CA, pp. 681–689 (1988)
Ribeiro, R.A., Pereira, R.A.M.: Generalized Mixture Operators using weighting functions: A comparative study with WA and OWA. European Journal of Operational Research 145, 329–342 (2003)
Shannon, C.E.: A Mathematical Theory of Communication. Bell Systems Technical Journal 27, 379–423 (1948)
Shoemaker, P.J.H., Carter, W.C.: An Experimental Comparison of different approaches to determining Weights in Additive Utility Models. Management Science 28, 182–196 (1982)
Smolikova, R., Wachowiak, M.P.: Aggregation operators for selection problems. Fuzzy Sets and Systems 131, 23–34 (2002)
Solymosi, T., Dombi, J.: A method for determining the weights of criteria: the centralized weights. European Journal of Operational Research 26, 35–41 (1986)
Torra, V.: Learning weights for the Quasi-Weighted Mean. IEEE Transactions on Fuzzy Systems 10(5), 653–666 (2002)
Torra, V.: On the learning of weights in some aggregation operators. Mathware and Soft Computing 6, 249–265 (1999)
Torra, V.: OWA operators in data modeling and re-identification. IEEE Transactions on Fuzzy Systems 12(5), 652–660 (2004)
Tsaur, S.-H., Chang, T.Y., Yen, C.-H.: The evaluation of airline service quality by fuzzy MCDM. Tourism management 23, 107–115 (2002)
Weber, M., Eisenfhr, F., von Winterfeldt, D.: The effects of splitting attributes on weights in multiattribute utility measurement. Management Science 34, 431–445 (1988)
Yager, R.R.: Connectives and quantifiers in fuzzy sets. Fuzzy Sets and Systems 40, 39–75 (1991)
Yager, R.R.: On a general class of fuzzy connectives. Fuzzy Sets and Systems 4, 235–242 (1980)
Yager, R.R.: Ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Trans. Systems Man. and Cybernetics 18, 183–190 (1988)
Yager, R.R., Kacprzyk, J.: The Ordered Weighted Averaging Operators. Kluwer Academic Publishers, Boston (1997)
Zadeh, L.A.: Fuzzy Sets. Information and Control 8, 338–353 (1965)
Zhang, D., Yu, P.L., Wang, P.Z.: State-dependent weights in multicriteria value functions. Journal of Optimization Theory and Applications 74(1), 1–21 (1992)
Zimmermann, H.J., Zysno, P.: Latent connectives in human decision making. Fuzzy Sets and Systems 4, 37–51 (1980)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Cheng, CH., Chang, JR., Ho, TH., Chen, AP. (2005). Evaluating the Airline Service Quality by Fuzzy OWA Operators. In: Torra, V., Narukawa, Y., Miyamoto, S. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2005. Lecture Notes in Computer Science(), vol 3558. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11526018_9
Download citation
DOI: https://doi.org/10.1007/11526018_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-27871-9
Online ISBN: 978-3-540-31883-5
eBook Packages: Computer ScienceComputer Science (R0)