Fuzzy Measure Spaces Generated by Fuzzy Sets

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Abstract

In this paper we study fuzzy measures which are defined on algebras of fuzzy subsets of a given fuzzy set. Subsequently, we use these fuzzy measures to define a fuzzy integral. We show basic properties of these fuzzy measures and integrals. We are motivated by our research on fuzzy quantifiers, where this fuzzy integral is used. © Springer-Verlag Berlin Heidelberg 2010.

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Dvořák, A., & Holčapek, M. (2010). Fuzzy Measure Spaces Generated by Fuzzy Sets. In Communications in Computer and Information Science (Vol. 80 PART 1, pp. 490–499). https://doi.org/10.1007/978-3-642-14055-6_51

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