Multidimensional generalized fuzzy integral

Authors:
Yasuo Narukawa;Vicenç Torra
Affiliations:
Toho Gakuen, 3-1-10 Naka, Kunitachi, Tokyo 186-0004, Japan;IIIA-CSIC, Institut d'Investigació en Intel.ligència Artificial, Campus de Bellaterra, 08193 Bellaterra (Catalonia), Spain
Venue:
Fuzzy Sets and Systems
Year:
2009

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Abstract

In this paper, we study multidimensional integrals. We introduce a generalized fuzzy integral and we present a Fubini-like theorem for this generalized fuzzy integral. As this research was partly motivated by the definition of citation indices, we also describe how such multidimensional integrals can be used to define such indices.