Volume 24 , Issue 3 , PP: 165-171, 2024 | Cite this article as | XML | Html | PDF | Full Length Article
Mourad Oqla Massa’deh 1 * , Ahlam omar Fallatah 2
Doi: https://doi.org/10.54216/IJNS.240314
In this article, homomorphism and anti-homomorphism bipolar valued multi normal fuzzy HX subgroup of a HX group is studied, discussed and their properties are introduced. The theorems presented in this article are considered a generalization of what has been publishedthrough the concept of fuzzy sets. As the concept of fuzzy sets was introduced by Zadeh in 1965, after that this concept, we expanded into more than one types, intuitionistic fuzzy set, bipolar fuzzy sets, tripolar fuzzy set, and bipolar valued multi fuzzy set are one of this.
Fuzzy sets , bipolar valued fuzzy set , bipolar valued multi fuzzy set , bipolar valued multi fuzzy HX subgroup , bipolar valued multi fuzzy normal HX subgroup homomorphism , antihomomorphism.
[1] L. A. Zadeh., Fuzzy sets, information and control, 8 (1965) 338-353.
[2] Prahibir Bhattacharya, Fuzzy subgroups, Some characterizations, J. Math. Anal. Appl., 128 (1981) 241- 252.
[3] Mehmet Sait Eroglu, The homomorphic image of fuzzy subgroup is always a fuzzy subgroup, fuzzy set and system, 33(1989) 255-296.
[4] M.O. Massa’deh, Some properties of upper fuzzy order, African Journal of mathematic and computer science research, 3(2010) 192-194.
[5] M.O. Massa’deh, On M-fuzzy subrings, Far East Journal of Mathematical Sciences, 62 (2012) 41-49.
[6] M.O. Massa’deh and A.K. Baarch, Some contribution on isomorphic fuzzy graphs, Advances and Applications in discrete mathematics, 11(2013) 199-206.
[7] M.Akram andW.A. Dudek, Znterval-valued fuzzy graphs, Computer and mathematics with applications, 61(2011) 289-299.
[8] M.F. Marashdeh and A.R. Salleh, Intuitionistic fuzzy rings, International journal of algebra, 5(2011)37- 47.
[9] M.O. Massa’deh., Some contribution on Intuitionistic Q-fuzzy Ku-ideals, JP journal of Algebra, Number Theory and Applications 42(1), (2019), 95-110.
[10] M.O. Massa’deh. and A. Fallatah, Some properties on Intuitionistic Q-fuzzy K-ideals and K-Q-fuzzy ideals in Γ−semirings, Africa Matematika, 31, (2019), 1145-1152.
[11] M.O. Massa’deh. and A. Fallatah, On hyper Q-fuzzy normal HX subgroup, Conjugate and it normal level, Italian Journal of pure and applied mathematics, 42(2019)624-634.
[12] W. R. Zhang., Bipolar fuzzy sets, Proc. of fuzzy IEEE (1998) pp. 835-840.
[13] Li Hongxing, HX group, BUSEFAL, (1987)31-37.
[14] M. S. Anitha, K. L. Muruganantha prasad and K. Arjunan, Note on bipolar valued fuzzy subgroups of a group, Bullatan of society for mathematical services and standards, 2(2013) 52-59.
[15] S. Sahaya arockia Selvi, S. Naganathan and K. Arjunan, Homomorphism on bipolar valued Q-fuzzy subgroup of a group, Applied mathematical science, 8(2014) 3043-3049.
[16] M.O. Massa’deh. and A. A. Fora, Bipolar valued Q-fuzzy HX subgroup on a HX group, Journal of applied computer science and mathematics, 11(2017)20-24.
[17] M.O. Massa’deh, A Study on anti bipolarQ−fuzzy normal semigroups, Journal of Mathematical sciences Applications, 6(2018) 1-5.
[18] S. Sebastian and T. V. Ramakrishnan, Multi fuzzy sets, internatinal Mathematical forum, 5(2010) 2471- 2476.
[19] V. K. Santhl and K. Anbarasi, Advances in fuzzy mathematics, 10(2015)55-62.
[20] M.O. Massa’deh. and A. Fallatah, On bipolar M − N Multi Q-fuzzy subgroups, Journal of applied mathematics and informatics, 41(2023) 781-799.
