Document Type : Research Paper
Institute for Computational Science and Technology, Ho Chi Minh City, Vietnam
Eastern International University, Vietnam
Faculty of Mathematics and Statistics, University of Economics Ho Chi Minh City, Vietnam
In this paper, we introduce the concept of pseudo-continuous semicopula. We show its relationship with continuity in the second variable and provide a characterization of all semicopulas S such that the smallest semicopula-based universal integral is S-homogeneous. This completely solves Open problem 2.29 proposed by J. Borzov´a-Moln´arov´a et al. in the paper .