Abstract
The class of weighting lists with a prefixed minimum and maximum values is studied. It is introduced the concept of degree of Dominance of a weighting list as a generalization of the degree of Orness. It is proved that, with good conditions, there always exist two unique lists with minimum and maximum dominance respectively. From the concepts of dominance and dispersion, it is solved the problem of obtaining the weighting list in the class considered here of maximum dispersion with a given degree of dominance.
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References
Yager, R. R. (1988) On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Trans. Systems Man Cybernetics 18, 183–190
O’Hagan, M. (1990) Using maximum entropy-ordered averaging operator to construct a fuzzy neuron. Proceedings 24th Annual IEEE Asilomar Conf. on Signals, Systems and Computers. Pacific Grove. CA, 618–623
Carbonell M., Mas M., Mayor G. (1997) On a class of Monotonic Extended OWA Operators. Proceedings Sixth International Conference on Fuzzy Systems 3, 1695–1700
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© 2002 Springer-Verlag Berlin Heidelberg
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Calvo, T., Martín, J., Mayor, G., Suñer, J. (2002). On Dominance and Dispersion of a Class of Weighting Lists. In: Bouchon-Meunier, B., Gutiérrez-Ríos, J., Magdalena, L., Yager, R.R. (eds) Technologies for Constructing Intelligent Systems 2. Studies in Fuzziness and Soft Computing, vol 90. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1796-6_15
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DOI: https://doi.org/10.1007/978-3-7908-1796-6_15
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-2504-6
Online ISBN: 978-3-7908-1796-6
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