标题：Extension on the fuzzy integral based on <mml:math alttext="$\oplus$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mo>⊕</mml:mo></mml:math>-decomposable measure
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2001
卷号：28
DOI：10.1155/S0161171201007281
出版社：Hindawi Publishing Corporation
摘要：We extend the concept of fuzzy integral based on ⊕-decomposable measure from nonnegative fuzzy measurable
function to extended real-valued fuzzy measurable function.
Further investigations of fuzzy integrals based on pseudo-additive
decomposable measure are carried out. Meanwhile, the space (S(μ),σ(⋅,⋅)) of all fuzzy measurable function
will be proved to be a pseudo-metric space. Finally, as an
application of this extension the Pettis integral will be
obtained for that kind of fuzzy integral.
