Bipolar Fuzzy (T,S)-Norm Hyper KU–Ideals (Sub Algebras)

Yıl 2019, Cilt: 11 Sayı: 1, 29 - 39, 30.06.2019

Samy M. Mostafa , Naim Cagman

Öz

In this paper, the concepts of $(\sigma,\tau)$- bipolar fuzzy $(T,S)$- norm of the notions (strong, weak, $s$-weak) hyper  $KU$-ideals in hyper $KU$-algebras are introduced and some properties are discussed.

Anahtar Kelimeler

KU-algebra, hyper KU-algebra, Fuzzy (T

Kaynakça

• Jun, Y.B., Xin, X.L., Roh, E.H., Zahedi, M.M., Strong hyper BCK-ideals of hyper BCK-algebra, Math. Jap., 51(3)(2000), 493--498.
• Jun, Y.B., Zahedi, M.M., Xin, X.L., Borzooei, R.A., On hyper BCK-algebra, Italian J. Pure App. Math., Oxford Ser., 10(2000), 127--136.
• Jun Y.B., Xin, X.L., Fuzzy hyper BCK-ideals of hyper BCK-algebras, Scientiae Mathematicae Japonicae Online, 4(2001), 415--422.
• Jun, Y.B., Kang, M.S., Kim, H.S., Bipolar fuzzy hyper BCK-ideals in hyper BCK-algebras, Iranian Journal of Fuzzy Systems, 8(2)(2011), 105--120.
• Jun, Y.B., Shim, W.H., Fuzzy implicative hyper BCK-ideals of hyper BCK-algebras, Internat. J. Math. Math. Sci., 29(2)(2002), 63--70.
• Jun, Y.B., Xin, X.L., Fuzzy hyper BCK-ideals of hyper BCK-algebras, Sci. Math. Jpn., 53(2)(2001), 353--360.
• Jun, Y.B., Zahedi, M.M., Xinand, X.L., Borzooei, R.A., On hyper BCK-algebras, Italian J. of Pure and Appl. Math., 8(2000), 127--136.
• Lee, K.M., Bipolar-valued fuzzy sets and their operations, Proc. Int. Conf. on Intelligent Technologies, Bangkok, Thailand, (2000), 307--312.
• Li, X., Zheng, C., {The direct product characteristics of the intuitionistic fuzzy groups with respect to t-s norms", Mathematics in Practice and Theory, 38(2008), 109--114.
• Lin, M.L., Some properties on the intuitionistic fuzzy group with respect to trigonal norms, Journal of Zhangzhou Normal University (Nat. Sci.), 2(2007), 1--5.
• Marty, F., Sur une generalization de la notion de groupe, 8th Congress Math. Scandinaves, Stockholm, (1934), 45--49.
• Mostafa, S.M., Abd-Elnaby, M.A., Yousef, M.M.M., Fuzzy ideals of KU-algebras, Int. Math. Forum, 63(6)(2011), 3139--3149.
• Mostafa, S.M., Kareem, F., Davvaz, B., Hyper structure theory applied to KU-algebras, Journal of Hyper Structures, 6(2)(2017), 82--95.
• Mostafa, S.M., Hameed, A.T., Ghanem, R.A., Hyper structures of KU-algebras: Theorems & fuzzy Applications, submitted.
• Prabpayak, C., Leerawat, U., On ideals and congruence in KU-algebras, Scientia Magna Journal, 5(1)(2009), 54--57.
• Prabpayak, C., Leerawat, U., On isomorphisms of KU-algebras, Scientia Magna Journal, 5(3)(2009), 25--31.
• Yaqoob, N., Mostafa, S.M., Ansari, M. A., On cubic KU-ideals of KU-algebras, ISRN Algebra, (2013) Article ID935905, 10 pages.
• Zadeh, L.A., Fuzzy sets, Inform. And Control, 8(1965), 338--353.