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Non-monotonic fuzzy measures and the Choquet integral

✍ Scribed by Toshiaki Murofushi; Michio Sugeno; Motoya Machida

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
714 KB
Volume
64
Category
Article
ISSN
0165-0114

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πŸ“œ SIMILAR VOLUMES

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

Regular non-additive measure and Choquet
Regular non-additive measure and Choquet integral
✍ Yasuo Narukawa; Toshiaki Murofushi πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 182 KB

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.

Application of the Choquet integral to m
Application of the Choquet integral to measures of information in possibility theory
✍ TomΓ‘Ε‘ Kroupa πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 125 KB

Possibility measures are analyzed from the information-theoretic point of view. The significant role of the Choquet integral is argued in this context. The main result of the article is a representation theorem for the nonspecificity of possibility distribution and a new definition of divergence for