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J. Math. Comput. Sci. 11 (2021), 3613–3636

On generalized interval valued bipolar fuzzy ideals in ordered semigroups

Hataikhan Sanpan, Nareupanat Lekkoksung, Somsak Lekkoksung

Abstract

We introduce the notion of interval valued bipolar (λ~, δ~)-fuzzy left (resp., right, bi-) ideals in ordered semigroups. This concept is a generalized concept of interval valued bipolar fuzzy left (resp., right, bi-) ideals in ordered semigroups. We discuss some basic properties of our initialed notions. Furthermore, we characterize regular and intra-regular ordered semigroups in terms of such concepts.

Published
11 May 2021
Volume
11 (2021)
License
CC BY 3.0

Copyright © 2021 Hataikhan Sanpan, Nareupanat Lekkoksung, Somsak Lekkoksung. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

H. Sanpan, N. Lekkoksung, S. Lekkoksung, On generalized interval valued bipolar fuzzy ideals in ordered semigroups, J. Math. Comput. Sci. 11 (2021), 3613–3636. https://doi.org/10.28919/jmcs/5626

BibTeX
@article{Sanpan2021,
  author  = {Sanpan, Hataikhan and Lekkoksung, Nareupanat and Lekkoksung, Somsak},
  title   = {On generalized interval valued bipolar fuzzy ideals in ordered semigroups},
  journal = {J. Math. Comput. Sci.},
  volume  = {11},
  year    = {2021},
  pages   = {3613--3636},
  doi     = {10.28919/jmcs/5626}
}