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

Author

Listed:
  • 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
    Department of Mathematics Radlinského 11, Faculty of Civil Engineering, 810 05 Bratislava, Slovakia)

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.

Suggested Citation

  • Abbas Ghaffari & Reza Saadati & Radko Mesiar, 2020. "Inequalities in Triangular Norm-Based ∗-fuzzy ( L + ) p Spaces," Mathematics, MDPI, vol. 8(11), pages 1-22, November.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:11:p:1984-:d:441232
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