On homogeneity of the smallest semicopula-based universal integral in the class of pseudo-continuous semicopulas

Document Type : Research Paper

Authors

1 Institute for Computational Science and Technology, Ho Chi Minh City, Vietnam

2 Eastern International University, Vietnam

3 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

Iranian Journal of Fuzzy Systems
Volume 18, Issue 5
September and October 2021
Pages 173-180

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