A note on convergence properties of interval-valued capacity functionals and Choquet integrals
β Scribed by Lee-Chae Jang
- Book ID
- 113662225
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 221 KB
- Volume
- 183
- Category
- Article
- ISSN
- 0020-0255
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π SIMILAR VOLUMES
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.
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.
For a diffusion type process dX, = d w + a(t, X) dt and a sequence (f,) of nonnegative functions necessary and sufficient conditions to the f, are established which guarantee the as. convergence of fn(X,) dt to zero. This result is applied to derive simple necessary and sufficient conditions for the