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An extension of Sugeno integral

✍ Scribed by Wu Congxin; Mamadou Traore

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
251 KB
Volume
138
Category
Article
ISSN
0165-0114

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✦ Synopsis

In this paper, we extend the concept of Sugeno fuzzy integral from nonnegative fuzzy measurable functions to extended real-valued fuzzy measurable functions and discuss the lost genuine properties for this extension; several necessary and su cient conditions of absolute (S)-integrability for extended real-valued fuzzy measurable functions are given. Moreover, the space (S( ); (:; :)) of all fuzzy measurable functions will be proved to be a pseudo-metric space under a necessary and su cient condition. Finally, as an application of this extension the Pettis integral will be established for this kind of fuzzy integral.

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