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Choquet integral and fuzzy measures on locally compact space

โœ Scribed by Michio Sugeno; Yasuo Narukawa; Toshiaki Murofushi

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
372 KB
Volume
99
Category
Article
ISSN
0165-0114

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โœฆ Synopsis

The concept of outer regular fuzzy measures is proposed, and it is shown that a functional of certain type on the cone of positive continuous functions with compact supports is represented as a Choquet integral with respect to a outer regular fuzzy measure. It is also shown that the Choquet integral of positive continuous functions with compact supports is represented as a Lebesgue integral with the same integrands. This representation is a generalization of certain previous results of others, which are useful for computation of the upper and lower expected value.

๐Ÿ“œ SIMILAR VOLUMES

FN-closed sets and fuzzy locally nearly
FN-closed sets and fuzzy locally nearly compact spaces
โœ M.Y. Bakier ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 369 KB

We define a fuzzy subset FN-closed relative to r and study the special properties of such sets in fuzzy nearly compact spaces and in fuzzy Hausdorff spaces; the definition and characterizations of fuzzy locally nearly compact spaces are introduced. Finally, effects on semi-regularization of r are di