Abstract
In this work two approaches for extending set functions to fuzzy set functions are presented. The first approach describes an extension mechanism based on a random set interpretation of fuzzy sets. In the second approach fuzzy sets are interpreted on the basis of random trivalued sets. Examples showing that both techniques exhibit behaviours that are well-suited for modelling different tasks such as fuzzy quantification, fuzzy cardinality and fuzzy temporal operators are presented.
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Díaz-Hermida, F., Cariñena, P., Bugarín, A., Barro, S. (2003). Random Set-Based Approaches for Modelling Fuzzy Operators. In: Lawry, J., Shanahan, J., L. Ralescu, A. (eds) Modelling with Words. Lecture Notes in Computer Science(), vol 2873. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39906-3_1
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DOI: https://doi.org/10.1007/978-3-540-39906-3_1
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