Abstract
The preceding chapters have presented the theoretical material for the application of fuzzy measures and integrals to various domains, along with concrete examples. We have seen that the fuzzy integral, as an aggregation operator, is a powerful tool. Perhaps the general formulation of fuzzy integrals using t-conorms provides the widest known family of averaging operators since they include most of the weighted quasi-arithmetic means (that is, decomposable averaging operators), all associative averaging operators, OWA, and so forth. Of course, the whole family is considerably larger than that.
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© 1995 Springer Science+Business Media Dordrecht
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Grabisch, M., Nguyen, H.T., Walker, E.A. (1995). Identification and Interpretation of Fuzzy Measures. In: Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference. Theory and Decision Library, vol 30. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8449-4_10
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DOI: https://doi.org/10.1007/978-94-015-8449-4_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4477-8
Online ISBN: 978-94-015-8449-4
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