On a convergence in measure theorem for the seminormed and semiconormed fuzzy integrals

In this paper, we study convergence in measure theorems without the continuity of the measure with respect to seminormed and semiconormed fuzzy integrals. By using the obtained results, we achieve results about pointwise convergence and almost uniform convergence for seminormed fuzzy integrals.

Saved in:
Bibliographic Details
Published in:Fuzzy sets and systems 2023-04, Vol.457, p.156-168
Main Authors: Hoang, Do Huy, Son, Pham Thanh, Duc, Ho Quang, Van Duong, Dao, Luan, Tran Nhat
Format: Article
Language:English
Subjects:
Convergence in mean
Convergence in measure
Convergence strictly in measure
Monotone measure
Semicopula
The smallest semicopula-based integral
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we study convergence in measure theorems without the continuity of the measure with respect to seminormed and semiconormed fuzzy integrals. By using the obtained results, we achieve results about pointwise convergence and almost uniform convergence for seminormed fuzzy integrals.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2022.08.008