Some Properties of Fuzzy Ideals of Unit Regular Semigroups

Authors

  • A'laa Fadhel Hameed Tikrit University's Department of Mathematics, College of Computer Science and Mathematics in Tikrit, Iraq
  • Akram S. Mohammed Tikrit University's Department of Mathematics, College of Computer Science and Mathematics in Tikrit, Iraq

DOI:

https://doi.org/10.29304/jqcsm.2023.15.41349

Keywords:

unit regular, fuzzy ideal, fuzzy bi-ideal

Abstract

This paper introduces the concept of unit-regular fuzzy ideals of semi groups, which is a generalization of regular fuzzy ideals. Several of their significant related properties have been examined. According to the unit-regular semi group, the fuzzy-interior-ideal, fuzzy-ideal, fuzzy-bi-ideal, and fuzzy-generalized-bi-ideal have all been described.

Downloads

Download data is not yet available.

References

Mohammed, A. S., Asaad, S. H., & Ahmed, I. S. (2022). New properties of strongly regular left almost semi-group. Journal of Discrete Mathematical Sciences and Cryptography, 25(2), 615-622.‏

Howie, J. M. (1976). An introduction to semigroup theory, Academic Press, New YORK .

Mordeson, J. N., Malik, D. S., & Kuroki, N. (2012). Fuzzy semigroups (Vol. 131). Springer.‏

Kuroki, N. (1981). On fuzzy ideals and fuzzy bi-ideals in semigroups. Fuzzy sets and systems, 5(2), 203-215.‏

Rosenfeld, A. (1971). Fuzzy groups. Journal of mathematical analysis and applications, 35(3), 512-517.‏

McFadden, R. B. (1984). Unit-regular orthodox semigroups. Glasgow Mathematical Journal, 25(2), 229-240.‏

Asaad, S. H., Ahmed, I. S., & Mohammed, A. S. (2020, November). Generalization Fuzzy Completely Intra Γ-ideals in Γ-Semi Groups. In Journal of Physics: Conference Series (Vol. 1664, No. 1, p. 012028). IOP Publishing.‏

Zadeh, L. A. (1965). Fuzzy sets. Information and control, 8(3), 338-353.‏

Downloads

Published

2023-12-30

How to Cite

Fadhel Hameed, A., & S. Mohammed, A. (2023). Some Properties of Fuzzy Ideals of Unit Regular Semigroups. Journal of Al-Qadisiyah for Computer Science and Mathematics, 15(4), math. 1–10. https://doi.org/10.29304/jqcsm.2023.15.41349

Issue

Section

Math Articles