پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شمارهها | 702 |
| تعداد مقالات | 10,131 |
| تعداد مشاهده مقاله | 71,399,301 |
| تعداد دریافت فایل اصل مقاله | 63,119,043 |
Fuzzy $\alpha$-ideals and $\alpha$-congruences | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 118، دوره 13، شماره 2، مهر 2022، صفحه 1455-1464 اصل مقاله (409.22 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23032.2463 | ||
| نویسنده | ||
| Natnael Teshale Amare* | ||
| Department of Mathematics, College of Natural and Computational Sciences, University of Gondar, Ethiopia | ||
| تاریخ دریافت: 12 فروردین 1400، تاریخ بازنگری: 08 خرداد 1400، تاریخ پذیرش: 22 خرداد 1400 | ||
| چکیده | ||
| In this paper, we introduce $L$-fuzzy $\alpha-$ideals and $L$-fuzzy $\alpha-$congruences on ADL $A$ and we discuss the properties of these. Also, we prove that the homomorphic image and pre-image of an $L$-fuzzy $\alpha-$congruence is also an $L$-fuzzy $\alpha-$congruence on $A$ under certain conditions. Finally, we establish a one-to-one correspondence between $L$-fuzzy $\alpha-$ideals and $L$-fuzzy $\alpha-$congruences on $A$. | ||
| کلیدواژهها | ||
| Almost Distributive Lattice (ADL)؛ $L$-fuzzy $alpha-$ideal؛ $L$-fuzzy $alpha-$congruence | ||
| مراجع | ||
|
[1] P.S.R.K. Das, Fuzzy groups and level subgroups, J. Math. Anal. Appl. 84 (1981), 264–269. [2] T.K. Dutta, On fuzzy pseudo-ideals in semigroups, Proc. Seminar Fuzzy Syst. Non-Standard Logic, Calcutta, India, 1984. [3] L. Filep, Study on fuzzy algebra and relations from a general view point, Acta Math. Acad. Paedagog. Nyh´azi.(NS) 14 (1998), 49–55. [4] J.A. Goguen, L-fuzzy sets, J. Math. Anal. Appl. 18 (1967) 145–174. [5] A.K. Katsaras and D.B. Liu, Fuzzy vector spaces and fuzzy topological vector spaces, J. Math. Anal. Appl. 58 (1977), 135–146. [6] N. Kuroki, Fuzzy ideals and fuzzy bi-ideals in semi-groups, Fuzzy Sets Syst. 5 (1981), 203–215. [7] S. Lehmke, Some properties of fuzzy ideals of lattices, Fuzzy-IEEE 97 (1997), 813–818. [8] W.J. Liu, Fuzzy invariant subgroups and fuzzy ideals, Fuzzy Set Syst. 8 (1982), 133–139. [9] D.S. Malik and J.N. Mordeson, Extensions of fuzzy subrings and fuzzy ideals, Fuzzy Set Syst. 45 (1992), 245–251. [10] T.K. Mukharjee and M.K. Sen, On fuzzy ideals of a ring, Proc. Seminar Fuzzy Syst. Non-Standard Logic, Calcutta, India, 1984. [11] G.C. Ro and M.S. Rao, α−ideals in almost distributive lattices, Int. J. Contemp. Math, Sci. 4 (2009), no. 10, 457–466. [12] A. Rosenfeld, Fuzzy groups, J. Maths. Anal. Appl. 35 (1971), 512–517. [13] U.M. Swamy, C.S.S. Raj and N. Teshale, Fuzzy ideals of almost distributive lattices, Ann. Fuzzy Math. Inf. 14 (2017), no. 4, 371–379. [14] U.M. Swamy and D.V. Raju, Fuzzy ideals and congruences of lattices, Fuzzy Sets Syst. 95 (1998), 249–253. [15] U.M. Swamy and D.V. Raju, Algebraic Fuzzy systems, Fuzzy Sets Syst. 41 (1991), 187–194. [16] U.M. Swamy and D.V. Raju, Irreducibility in algebraic fuzzy systems, Fuzzy Sets Syst. 41 (1991), 233–241. [17] U.M. Swamy and G.C. Rao, Almost distributive lattices, J. Aust. Math. Soc. 31 (1981), 77–91. [18] U.M. Swamy, T. Rama Rao and Ch. Prabhakara Rao, On the Truth values of fuzzy statements, Int. J. Appl. Comput. Sci. Math. 3 (2013), 1–6. [19] L.A. Zadeh, Fuzzy set, Inf. Control 8 (1965), 338–353. | ||
|
آمار تعداد مشاهده مقاله: 44,445 تعداد دریافت فایل اصل مقاله: 50,761 |
||