Abstract
Aggregation operators play a fundamental role in decision making, especially when there are numerous (conflicting) criteria present. In case of uncertain data, an important task is to develop appropriate solutions for the aggregation process. In many applications the knowledge and data provided by the experts tend to be vague, as experts express their knowledge in non-structured and ambiguous ways, for instance by using linguistic terms. We combine interval-valued fuzzy sets and OWA operators to create new aggregation methods and we prove that the new operators satisfy some important properties. In this article we present novel approaches for aggregating vague and imprecise information.
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References
Chiclana, F., Herrera-Viedma, E., Herrera, F., Alonso, S.: Some induced ordered weighted averaging operators and their use for solving group decision-making problems based on fuzzy preference relations. European Journal of Operational Research 182(1), 383–399 (2007)
Xu, Z., Da, Q.: An overview of operators for aggregating information. International Journal of Intelligent Systems 18(9), 953–969 (2003)
Yager, R.R.: On ordered weighted averaging aggregation operators in multicriteria decision making. IEEE Transactions on Systems, Man, and Cybernetics 18(1), 183–190 (1988)
Yager, R.R., Kacprzyk, J., Beliakov, G. (eds.): Recent Developments in the Ordered Weighted Averaging Operators: Theory and Practice. STUDFUZZ, vol. 265. Springer, Heidelberg (2011)
Zhou, S., John, R., Chiclana, F., Garibaldi, J.: On aggregating uncertain information by type-2 owa operators for soft decision making. International Journal of Intelligent Systems 25(6), 540–558 (2010)
Zadeh, L.A.: The concept of a linguistic variable and its applications to approximate reasoning. Information Sciences, Part I, II, III, 8, 8, 9,199–249, 301–357, 43–80 (1975)
Zhang, Z.: On characterization of generalized interval type-2 fuzzy rough sets. Information Sciences 219(0), 124–150 (2013)
Machacha, L., Bhattacharya, P.: A fuzzy-logic-based approach to project selec¬tion. IEEE Transactions on Engineering Management 47(1), 65–73 (2000)
Gutjahr, W., Katzensteiner, S., Reiter, P., Stummer, C., Denk, M.: Multi-objective decision analysis for competence-oriented project portfolio selection. European Journal of Operational Research 205(3), 670–679 (2010)
Lin, C., Hsieh, P.: A fuzzy decision support system for strategic portfolio man-agement. Decision Support Systems 38(3), 383–398 (2004)
Gorzałczany, M.: A method of inference in approximate reasoning based on interval-valued fuzzy sets. Fuzzy sets and systems 21(1), 1–17 (1987)
Wu, D., Mendel, J.: A comparative study of ranking methods, similarity measures and uncertainty measures for interval type-2 fuzzy sets. Information Sciences 179(8), 1169–1192 (2009)
Mitchell, H.: Ranking type-2 fuzzy numbers. IEEE Transactions on Fuzzy Systems 14(2), 287–294 (2006)
Carlsson, C., Fuller, R., Mezei, J.: Project selection with interval-valued fuzzy numbers. In: 2011 IEEE 12th International Symposium on Computational Intelligence and Informatics (CINTI), pp. 23–26. IEEE (2011)
Yager, R.R., Filev, D.P.: Induced ordered weighted averaging operators. IEEE Transactions on Systems, Man, and Cybernetics 29(2), 141–150 (1999)
Merigó, J., Gil-Lafuente, A.: Fuzzy induced generalized aggregation operators and its application in multi-person decision making. Expert Systems with Applications 38(8), 9761–9772 (2011)
Merigó, J., Casanovas, M.: The fuzzy generalized owa operator and its application in strategic decision making. Cybernetics and Systems: An International Journal 41(5), 359–370 (2010)
Chen, S.J., Chen, S.M.: A new method for handling multicriteria fuzzy decision -making problems using fn-iowa operators. Cybernetics & Systems 34(2), 109–137 (2003)
Lee, Y., Kim, S., Lee, H.: The impact of service r&d on the performance of Korean information communication technology small and medium enterprises. Journal of Engineering and Technology Management 28(1), 77–92 (2011)
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Mezei, J., Wikström, R. (2013). Aggregation Operators and Interval-Valued Fuzzy Numbers in Decision Making. In: Rocha, Á., Correia, A., Wilson, T., Stroetmann, K. (eds) Advances in Information Systems and Technologies. Advances in Intelligent Systems and Computing, vol 206. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36981-0_49
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DOI: https://doi.org/10.1007/978-3-642-36981-0_49
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-36980-3
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