Browse > Article
http://dx.doi.org/10.11568/kjm.2020.28.1.89

ON KU-ALGEBRAS CONTAINING (α, β)-US SOFT SETS  

Ansari, Moin A. (Department of Mathematics, College of Science, Post Box 2097 New Campus, Jazan University)
Koam, Ali N.A. (Department of Mathematics, College of Science, Post Box 2097 New Campus, Jazan University)
Haider, Azeem (Department of Mathematics, College of Science, Post Box 2097 New Campus, Jazan University)
Publication Information
Korean Journal of Mathematics / v.28, no.1, 2020 , pp. 89-104 More about this Journal
Abstract
In this paper, we connect (α, β) union soft sets and their ideal related properties with KU-algebras. In particular, we will study (α, β)-union soft sets, (α, β)-union soft ideals, (α, β)-union soft commutative ideals and ideal relations in KU-algebras. Finally, a characterization of ideals in KU-algebras in terms of (α, β)-union soft sets have been provided.
Keywords
KU-algebra; (${\alpha}$, ${\beta}$)-US sets; (${\alpha}$, ${\beta}$)-US subalgebras; (${\alpha}$, ${\beta}$)-US commutative ideals;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 H. Aktas and Cagmass N, soft sets and soft groups, Inf. Sci. 177 (13) (2007), 2726-2735.   DOI
2 Moin A. Ansari and Ali N. A. Koam, Rough approximations in KU-algebras, Italian Journal of Pure and Applied Mathematics, N. 40-2018 (679-691).
3 Muhammad Gulistan and Muhammad Shahzad, Soft KU-algebras, Journal of Algebra, Number Theory: Advances and Applications 11 (1) (2014), pg 1-20.
4 Mohammad Gulistan, Mohammad Shahzad, and Sarfaraz A., On (${\alpha},{\beta}$) fuzzy KU-ideals of KU-algebras, Afrika Matematika 26 (2015), 651-661.   DOI
5 Y. B. Jun, KyoungJa Lee and Min Su Kang, Ideal theory in BCK/BCI-algebras based on soft sets and N-structures, Discrete Dynamics in Nature and Society, Volume 2012, Article ID 910450, 13 pages.
6 Chiranjibe Jana and Madhumangal Pal, On (${\alpha},{\beta}$)-US sets in BCK/BCI-Algebras, Mathematics 7 (3) (2019), 252.   DOI
7 Ali N. A. Koam, Azeem Haider and Moin A. Ansari, Pseudo-metric on KU-algebras, The Korean J. Math. 27 (1) (2019), 131-140.   DOI
8 Ali N. A. Koam, Moin A. Ansari and Azeem Haider, n-ary block codes related to KU-algebras, Journal of Taibah University for Science 14 (1) (2020), 172-176.   DOI
9 P. K. Maji, R. Biswas and A. R. Roy, An application of soft sets in a decision making problems, Computers and Mathematics with applications 44 (2002), 1077-1083.   DOI
10 D. Molodotsov, Soft Set Theory-First Results, Computers and Mathematics with Applications 37 (1999), 19-31.   DOI
11 S. M. Mostafa, M.A. Abd-Elnaby and M.M.M. Yousef, Fuzzy ideals of KU-Algebras, Int. Math. Forum. 6 (63), (2011), 3139-3149.
12 Cagman N. and Enginoglu S. Soft set theory and uni-int decision making, Eur. J. Oper. Res. 207 (2010), 848-855.   DOI
13 C. Prabpayak and U. Leerawat, On ideals and congruences in KU-algebras, Scientia Magna J. 5 (1) (2009), 54-57.
14 Yue Xi., Zu-hua Liao, Xiao-hao, Xin-meng chen, wei Song, Shu-zhong Wu, Yong Li, A new type of soft prime ideals of KU-algebras, ICFIE 2017: Fuzzy sets and Operation Research pp 81-90.
15 Daneshpayeh, Roohallah, Arsham Saeid Borumand and Saeed Mirvakili, A representation for radicals in pseudo BL-algebras, Journal of Intelligent & Fuzzy Systems 36 (2) (2019), 1443-1454.   DOI
16 Tapan Senapati, and K.P. Shum, Atanassov's intuitionistic fuzzy bi-normed KU-ideals of a KU-algebra, Journal of Intelligent & Fuzzy Systems 30 (2016), 1169-1180.   DOI
17 Xi Y., Liao Z.H. and Chen X.M., A new type of soft ideal of KU-algebras, Fuzzy Syst. Math. 31 (2) (2017), 13-21.
18 Xiaohong Zhang, Choonkil Park and Supeng Wu, Soft set theoretical approach to pseudo-BCI algebras, Journal of Intelligent & Fuzzy Systems 34 (1) (2018), 559-568.   DOI
19 C. Prabpayak and U. Leerawat, On isomorphism of KU-algebras, Scientia Magna J. 5 (3) (2009), 25-31.