On homogeneity of the smallest semicopula-based universal integral in the class of pseudo-continuous semicopulas
نویسندگان
1 Institute for Computational Science and Technology, Ho Chi Minh City, Vietnam
2 Faculty of Mathematics and Statistics, University of Economics Ho Chi Minh City, Vietnam
3 Eastern International University, Vietnam
doi
10.22111/ijfs.2021.6263چکیده
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 [2].
