Abstract
A summary on the linguistic OWA operators existing in the literature is presented. To deal with linguistic information with equal importance the LOWA and ordinal OWA operators are studied. To deal with weighted linguistic information two extensions of the LOWA operator are analyzed, the LWA operator when the weights have linguistic nature and the L-WOWA operator if they have numerical nature.
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References
P.P. Bonissone and K.S. Decker, Selecting Uncertainty Calculi and Granularity: An Experiment in Trading-off Precision and Complexity, in: L.H. Kanal and J.F. Lemmer, Eds., Uncertainty in Artificial Intelligence (North-Holland, 1986) 217–247.
G. Bordogna and G. Pasi, A Fuzzy Linguistic Approach Generalizing Boolean Information Retrieval; a Model and Its Evaluation, Journal of the American Society for Information Science 44 (1993) 70–82.
W. Cholewa, “Aggregation of Fuzzy Opinions: An Axiomatic Approach,” Fuzzy Sets and Systems 17 (1985) 249–259.
R. Degani and G. Bortolan, The Problem of Linguistic Approximation in Clinical Decision Making, Inter. J. of Approximate Reasoning 2 (1988) 143–162.
M. Delgado, J.L. Verdegay and M.A. Vila, On Aggregation Operations of Linguistic Labels, Int. Journal of Intelligent Systems 8 (1993) 351–370.
F. Herrera and E. Herrera-Viedma, Aggregation Operators for Linguistic Weighted Information, IEEE Transactions on Systems, Man, and Cybernetics (1996). To appear.
F. Herrera and J.L. Verdegay, Linguistic Assessments in group decision, Proc. 1th European Congress on Fuzzy and Intelligent Technologies, Aachen, 1993, 941–948.
F. Herrera, E. Herrera-Viedma and J.L. Verdegay, A Sequential Selection Process in Group Decision Making with Linguistic Assessment, Information Sciences 85 (1995) 223–239.
F. Herrera, E. Herrera-Viedma and J.L. Verdegay, Aggregating Linguistic Preferences: Properties of LOWA Operator, Proc. 5th IFSA World Congress, Sao Paulo, 1995, 153–156.
F. Herrera, E. Herrera-Viedma and J.L. Verdegay, A Linguistic Decision Process in Group Decision Making, Group Decision and Negotiation 5 (1996) 165–176.
F. Herrera, E. Herrera-Viedma and J.L. Verdegay, A Model of Consensus in Group Decision Making under Linguistic Assessments, Fuzzy Sets and Systems 78 (1996) 73–87.
F. Herrera, E. Herrera-Viedma and J.L. Verdegay, Direct Approach Processes in Group Decision Making Using Linguistic OWA Operators, Fuzzy Sets and Systems 79 (1996) 175–190.
F. Herrera, E. Herrera-Viedma and J.L. Verdegay, Choice Processes for Non-Homogeneous Group Decision Making in Linguistic Setting, Fuzzy Sets and Systems (1996). To appear.
E.H. Maradani and S. Assilian, An experiment in linguistic synthesis with a fuzzy logic controller, Inter. Journal of Man Machine Studies 7 (1975) 1–13.
J. Montero, Aggregation of Fuzzy Opinions in a Non-Homogeneous Group,” Fuzzy Sets and Systems 25 (1988) 15–20.
M. Tong and P. P. Bonissone, A Linguistic Approach to Decision Making with Fuzzy Sets, IEEE Transactions on Systems, Man and Cybernetics 11 (1980) 716–723.
V. Torra, The Weighted OWA Operator, Int. Journal of Intelligent Systems (1996). To appear.
V. Torra, Weighted OWA Operators for Synthesis of Information, Proc. 5th IEEE Inter. Conference on Fuzzy Systems, New Orleans, USA, 1996, 966–971.
R.R. Yager, A New Methodology for Ordinal Multiple Aspect Decision Based on Fuzzy Sets, Decision Sciences 12 (1981) 589–600.
R.R. Yager, A Note on Weighted Queries in Information Retrieval Systems, J. of the American Society of Information Sciences 38 (1987) 23–24.
R.R. Yager, On Ordered Weighted Averaging Aggregation Operators in Mul-ticriteria Decision Making, IEEE Transactions on Systems, Man, and Cybernetics 18 (1988) 183–190.
R.R. Yager, Applications and Extension of OWA Aggregation, Int. Journal of Man-Machine Studies 37 (1992) 103–132.
R.R. Yager, Families of OWA Operators, Fuzzy Sets and Systems 59 (1993) 125–148.
R.R. Yager, Fuzzy Screening Systems, in Fuzzy Logic: State of the Art, R. Lowen, Ed. Kluwer Academic Publishers, 1993, pp. 251–261.
R.R. Yager, On Weighted Median Aggregation, Int. J. Uncertainty, Fuzzines and Knowledge-Based Systems 2 (1994) 101–113.
R.R. Yager, An Approach to Ordinal Decision Making, Int. Journal of Approximate Reasoning 12 (1995) 237–261.
R.R. Yager, Fusion of Ordinal Information Using Weighted Median Aggregation, Machine Intelligence Institute, Technical Report #MII-1520.
L. A. Zadeh, The Concept of a Linguistic Variable and its Applications to Approximate Reasoning. Part I, Information Sciences 8 (1975) 199–249, Part II, Information Sciences 8 (1975) 301-357, Part III, Information Sciences 9 (1975) 43-80.
L. A. Zadeh, A Computational Approach to Fuzzy Quantifiers in Natural Languages, Computers and Mathematics with Applications 9 (1983) 149–184.
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© 1997 Springer Science+Business Media New York
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Herrera, F., Herrera-Viedma, E. (1997). On the Linguistic OWA Operator and Extensions. In: Yager, R.R., Kacprzyk, J. (eds) The Ordered Weighted Averaging Operators. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-6123-1_6
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DOI: https://doi.org/10.1007/978-1-4615-6123-1_6
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