Title of article :
On homogeneity of the smallest semicopula-based universal integral in the class of pseudo-continuous semicopulas
Author/Authors :
Luan, T. N. Institute for Computational Science and Technology Ho Chi Minh City, Vietnam , Hoang, D. H. Eastern International University, Vietnam , Thuyet, T. M. Faculty of Mathematics and Statistics - University of Economics Ho Chi Minh City, Vietnam
Abstract :
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].
Keywords :
Semicopula , the smallest semicopula-based universal integral , homogeneity
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
