On homogeneity of the smallest semicopula-based universal integral in the class of pseudo-continuous semicopulas
Publish place: Iranian Journal of Fuzzy Systems، Vol: 18، Issue: 5
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJFS-18-5_012
تاریخ نمایه سازی: 30 مرداد 1400
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 ۲.۲۹ proposed by J. Borzov´a-Moln´arov´a et al. in the paper [۲].
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Authors
T. N. Luan
Institute for Computational Science and Technology, Ho Chi Minh City, Vietnam
D. H. Hoang
Eastern International University, Vietnam
T. M. Thuyet
Faculty of Mathematics and Statistics, University of Economics Ho Chi Minh City, Vietnam