Far East Journal of Mathematical Sciences (FJMS)

The Far East Journal of Mathematical Sciences (FJMS) publishes original research papers and survey articles in pure and applied mathematics, statistics, mathematical physics, and other related fields. It welcomes application-oriented work as well.

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ON CHEBYSHEV TYPE INEQUALITY FOR INTERVAL-VALUED GENERALIZED FUZZY INTEGRALS

Authors

  • Hyun-Mee Kim

Keywords:

Chebyshev type inequalities, generalized fuzzy integral

DOI:

https://doi.org/10.17654/0972087124015

Abstract

We study Chebyshev type inequality for interval-valued generalized fuzzy integrals as an extended concept of generalized special integrals.

Received: May 3, 2024
Accepted: June 24, 2024

References

J. Caballero and K. Sadarangani, Chebyshev inequalities for Sugeno integrals, Fuzzy Sets and Systems 161 (2010), 1480-1487.

L. C. Jang, A note on the interval-valued generalized fuzzy integral by means of an interval-representable pseudo-multiplication and their convergence properties, Fuzzy Sets and Systems 222 (2013), 45-57.

H. M. Kim, A note on the interval-valued generalized fuzzy integral representation, J. Korean Institute of Intelligent Syst. 33 (2023), 207-213.

R. Mesiar and Y. Ouyang, General Chebyshev type inequalities for Sugeno integrals, Fuzzy Sets and Systems 160 (2009), 58-64.

C. Wu, M. Ma, S. Song and D. Zhang, Generalized fuzzy integrals. III. Convergent theorems, Fuzzy Sets and Systems 70 (1995), 75-87.

D. Zhang and C. Guo, Generalized fuzzy integrals of set-valued functions, Fuzzy Sets and Systems 76 (1995), 365-373.

Published

2024-07-13

Issue

Section

Articles

How to Cite

ON CHEBYSHEV TYPE INEQUALITY FOR INTERVAL-VALUED GENERALIZED FUZZY INTEGRALS. (2024). Far East Journal of Mathematical Sciences (FJMS), 141(3), 255-266. https://doi.org/10.17654/0972087124015

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