𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the representation of Choquet integrals of set-valued functions, and null sets

✍ Scribed by L.C. Jang; J.S. Kwon

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
97 KB
Volume
112
Category
Article
ISSN
0165-0114

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we consider the deΓΏnition of set-valued Choquet integrals. We obtain some properties and the representation of set-valued Choquet integrals. And also, we discuss some fundamental relations between null sets and set-valued Choquet integrals.

πŸ“œ SIMILAR VOLUMES

Integrals of set-valued functions
Integrals of set-valued functions
✍ Robert J Aumann πŸ“‚ Article πŸ“… 1965 πŸ› Elsevier Science 🌐 English βš– 621 KB
On Henstock integrals of interval-valued
On Henstock integrals of interval-valued functions and fuzzy-valued functions
✍ Congxin Wu; Zengtai Gong πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 130 KB

In this paper, the (H ) integrals of interval-valued functions and fuzzy-valued functions are deΓΏned and discussed; several necessary and su cient conditions of (H ) integrability for fuzzy-number-valued functions are given by means of abstract Henstock-Pettis integral theory.

Convergences of sequences of set-valued
Convergences of sequences of set-valued and fuzzy-set-valued functions
✍ Lee-Chae Jang; Joong-Sung Kwon πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 409 KB

We define some metrics on the space of integrably bounded multivalued functions and the space of integrably bounded fuzzy random variables with values in a separable Banach space. We also define various convergence of sequences of setvalued and fuzzy-set-valued functions. We investigate relationship