The interpretation of fuzzy integrals and their application to fuzzy systems

Authors:
Vicenç Torra;Yasuo Narukawa
Affiliations:
Institut d'Investigació en Intelligència Artificial, Campus de Bellaterra, E-08193 Bellaterra, Catalonia, Spain;Toho Gakuen, 3-1-10 Naka, Kunitachi, Tokyo 186-0004, Japan
Venue:
International Journal of Approximate Reasoning
Year:
2006

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Abstract

Fuzzy integrals, in general, and Sugeno integrals, in particular, are well known aggregation operators. They can be used in a great variety of decision making applications. Nevertheless, their use is not easy as their interpretation is not straightforward. In this paper we study the interpretation of fuzzy integrals, focusing on Sugeno ones, and we show their application to fuzzy inference systems when the rules are not independent.