Inequalities in Triangular Norm-Based ∗-fuzzy ( L + ) p Spaces

Abbas Ghaffari, Reza Saadati and Radko Mesiar
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Abbas Ghaffari: Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 1477893855, Iran
Reza Saadati: School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 1311416846, Iran
Radko Mesiar: Department of Algebra and Geometry, Faculty of Science, Palacký University Olomouc, 17. listopadu 12, 771 46 Olomouc, Czech Republic

Mathematics, 2020, vol. 8, issue 11, 1-22

Abstract: In this article, we introduce the ∗-fuzzy ( L + ) p spaces for 1 ≤ p < ∞ on triangular norm-based ∗-fuzzy measure spaces and show that they are complete ∗-fuzzy normed space and investigate some properties in these space. Next, we prove Chebyshev’s inequality and Hölder’s inequality in ∗-fuzzy ( L + ) p spaces.

Keywords: fuzzy measure space; fuzzy integration; t-norm; Chebyshev’s inequality; Hölder’s inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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