Work

On convergence in measure for seminormed fuzzy integrals without the continuity of measure

Year: 2026

Type: article

Abstract: The key result in this paper shows that autocontinuity is a sufficient and necessary condition on a monotone measure such that convergence in measure of a sequence of measurable functions implies convergence of the corresponding sequence of seminormed fuzzy integrals of those measurable functions. Our work is an improvement of several previously published results.

Source: Analysis

DOI: 10.1515/anly-2025-0070

Authors: Do Huy Hoang, Truong Thi Nhan, Huynh Van Dung, Dao Van Duong, Tran Nhat Luan

Institutions: University of Economics Ho Chi Minh City, Học viện Hải quân, Quy Nhon University, VinUniversity

Language: English

Topic: Fuzzy Systems and Optimization

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,712

OpenAlex ID: W7140793208

FWCI: 5.475

Cites: 12

Cited by: 1

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