The characterization of regular ordered Gamma semigroups in terms of (E,EVq_k)-fuzzy Gamma ideals

Authors

  • Ibrahim Gambo Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor, Malaysia.
  • Nor Haniza Sarmin Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor, Malaysia.
  • Hidayat Ullah Khan Department of Mathematics, University of Malakand, Khyber Pukhtunkhwa, 18800 Pakistan.
  • Muhammad Faiz Khan Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhwa, 19130 Pakistan.

DOI:

https://doi.org/10.11113/mjfas.v0n0.608

Abstract

The advancement in the fascinating area of fuzzy set theory has become area of much interest, generalization of the existing fuzzy subsystems of other algebraic structures is very important to tackle more current real life problems. In this paper, we give more generalized form of regular ordered gamma semigroups in terms of (E,EVq_k)-fuzzy gamma ideals. Particularly, we characterized left regular, right regular, simple and completely regular ordered gamma semigroups in terms of this new notion. Some necessary and sufficient conditions for ordered gamma semigroup to be completely regular are provided in this paper.

Author Biographies

Ibrahim Gambo, Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor, Malaysia.

PhD Student,
Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia,
81310 UTM Johor, Malaysia.

Nor Haniza Sarmin, Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor, Malaysia.

A Professor of Mathematics,
Department of Mathematical Sciences,
Faculty of Science, Universiti Teknologi Malaysia,
81310 UTM Johor, Malaysia.

Hidayat Ullah Khan, Department of Mathematics, University of Malakand, Khyber Pukhtunkhwa, 18800 Pakistan.

Assistant Professor,
Department of Mathematics,
University of Malakand,
Khyber Pukhtunkhwa, 18800 Pakistan.

Muhammad Faiz Khan, Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhwa, 19130 Pakistan.

Assistant Professor and In charge,
Department of Mathematics and Statistics,
University of Swat,
Khyber Pakhtunkhwa, 19130 Pakistan.

References

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Published

26-12-2017

Issue

Vol. 13 No. 4 (2017): October - December

Section

Article