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Regular non-additive measure and Choquet integral

✍ Scribed by Yasuo Narukawa; Toshiaki Murofushi

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
182 KB
Volume
143
Category
Article
ISSN
0165-0114

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✦ Synopsis

The regular non-additive measure is deΓΏned. It is shown that the Choquet integral of a Choquet integrable function can be approximated by the integral of a continuous function with compact support.

πŸ“œ SIMILAR VOLUMES

Regular fuzzy measure and representation
Regular fuzzy measure and representation of comonotonically additive functional
✍ Yasuo Narukawa; Toshiaki Murofushi; Michio Sugeno πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 110 KB

This paper discusses the functional I deΓΏned on the class of continuous functions, which is comonotonically additive and monotone. The notion of regular fuzzy measure is proposed and the uniqueness theorem of regular fuzzy measure is shown. It is also shown that I can be represented by the di erence

Choquet integral and fuzzy measures on l
Choquet integral and fuzzy measures on locally compact space
✍ Michio Sugeno; Yasuo Narukawa; Toshiaki Murofushi πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 372 KB

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