Research Article
Bipolar Fuzzy Magnified Translations in Groups
* Corresponding author
Abstract
In this paper, we define a bipolar fuzzy magnified translation (BFMT) of a bipolar fuzzy subgroup (BFSG) of a group. Based on this concept we have also developed some important results and theorems on bipolar fuzzy groups.
How to Cite
U. V. Kalyani, T. Eswarlal, K. V. N. Rao, A. Iampan, Bipolar Fuzzy Magnified Translations in Groups, Int. J. Anal. Appl. 20 (2022), 55. https://doi.org/10.28924/2291-8639-20-2022-55
BibTeX
@article{Kalyani2022,
author = {Kalyani, U. Venkata and Eswarlal, T. and Rao, K. V. Narasimha and Iampan, A.},
title = {Bipolar Fuzzy Magnified Translations in Groups},
journal = {Int. J. Anal. Appl.},
volume = {20},
year = {2022},
pages = {55},
doi = {10.28924/2291-8639-20-2022-55}
}References
- [1] K.M. Lee, Bipolar-Valued Fuzzy Sets and Their Operations, In: Proc. Int. Conf. on Intelligent Technologies, Bangkok, Thailand, (2000), 307–312. https://cir.nii.ac.jp/crid/1573105975701596416.
- [2] H.A. Alshehri, Fuzzy Translation and Fuzzy Multiplication in BRK-Algebras, Eur. J. Pure Appl. Math. 14 (2021), 737–745. https://doi.org/10.29020/nybg.ejpam.v14i3.3971.
- [3] P. Khamrot, N. Deetae, On Right Weakly Regular Semigroups of Generalized Bipolar Fuzzy Subsemigroups, Missouri J. Math. Sci. 33 (2021), 195-205. https://doi.org/10.35834/2021/3302195.
- [4] N. Udten, N. Songseang, A. Iampan, Translation and Density of a Bipolar-Valued Fuzzy Set in UP-Algebras, Ital. J. Pure Appl. Math. 41 (2019), 469-496.
- [5] R. Anggraenil, Bipolar Fuzzy Translation, Extention, and Multiplication on Bipolar Anti Fuzzy Ideals of K-Algebras, Amer. J. Eng. Res. 8 (2019), 69-78.
- [6] U.V. Kalyani, T. Eswarlal, Homomorphism on Bipolar Vague Normal Groups, Adv. Math., Sci. J. 9 (2020), 3315–3324. https://doi.org/10.37418/amsj.9.6.11.
- [7] U.V. Kalyani, T. Eswarlal, Bipolar Vague Cosets, Adv. Math., Sci. J. 9 (2020), 6777–6787. https://doi.org/10.37418/amsj.9.9.36.
- [8] U.V. Kalyani, T. Eswarlal, J. KaviKumar, A. Iampan, Bipolar Fuzzy Sublattices and Ideals, Int. J. Anal. Appl. 20 (2022), 45. https://doi.org/10.28924/2291-8639-20-2022-45.
- [9] U.V. Kalyani, T. Eswarlal, Y. Bhargavi, Application of Bipolar Vague Sets on MCDM Problems, Mater. Today: Proc. (2020). https://doi.org/10.1016/j.matpr.2020.10.088.
- [10] U.V. Kalyani, T. Eswarlal, Bipolar Vague ELECTRE 1 Method for MCDM Problems, AIP Conf. Proc. 2375 (2021), 020024. https://doi.org/10.1063/5.0066365.
- [11] M.S. Anitha, K.L. Muruganantha Prasad, K. Arjunan, Notes on Bipolar-Valued Fuzzy Subgroups of a Group, Bull. Soc. Math. Services Standards. 7 (2013), 40–45. https://doi.org/10.18052/www.scipress.com/bsmass.7.40.
- [12] P.K. Sarma, On Intuitionistic Fuzzy Magnified Translation In Groups, Int. J. Math. Sci. Appl. 2 (2012), 139-146.
- [13] S.K. Sardar, S.K. Majumder, P. Pal, Bipolar Valued Fuzzy Translationin Semigroups, Math. Aeterna, 2 (2012), 597-607.
- [14] Y.B. Jun, H.S. Kim, K.J. Lee, Bipolar Fuzzy Translations in BCK/BCI-Algebras, J. Chungcheong Math. Soc. 22 (2009), 399-408.
- [15] S.K. Majumder, S.K. Sardar, Fuzzy Magnified Translation on Groups, J. Math., North Bengal Univ. 1 (2008), 117-124.
- [16] L.A. Zadeh, Fuzzy Sets, Inform. Control. 8 (1965), 338–353. https://doi.org/10.1016/s0019-9958(65)90241-x.