TY - JOUR T1 - Fuzzy Sub Implicative Ideals of KU-Algebras AU - Mostafa, Samy Mohammed AU - Baseer, Ola Wageeh PY - 2018 DA - June JF - Journal of New Theory JO - JNT PB - Naim ÇAĞMAN WT - DergiPark SN - 2149-1402 SP - 1 EP - 12 IS - 23 LA - en AB - We consider the fuzzification of sub-implicative (sub-commutative) ideals in KU-algebras, andinvestigate some related properties. We give conditions for a fuzzy ideal to be a fuzzy sub-implicative (subcommutative)ideal. We show that any fuzzy sub-implicative (sub-commutative) ideal is a fuzzy ideal, butthe converse is not true. Using a level set of a fuzzy set in a KU-algebra; we give a characterization of a fuzzysub-implicative (sub-commutative) ideal.  KW - KU-algebras KW - fuzzy sub implicative ideals KW - fuzzy sub-commutative CR - [1] Hong S.M. and Jun Y.B. , Fuzzy and level subalgebras of BCK (BCI) algebras Pusan Kyongnam Math. J. (Presently , East Asain Math . J.) , 7(2) (1991) , 185-190 . CR - [2] Iseki. K. On BCI-algebras. Math. Sem. Notes 8 (1980) 125 – 130 CR - [3] Jun Y. B., Hong A.M.T, Kim A. T. and Song S. Z., Fuzzy ideals and fuzzy subalgebras of BCK-algebras , J.fuzzy Math ,7(2) (1999) , 411-418 . CR - [4] Liu Y. L, Meng J. and Xu Y., BCI-implicative ideals of BCI-algebras, Information Sciences (2007) 1 - 10. CR - [5] Liu Y. L., S. Y. Liu S. Y., Meng J. FSI-ideals and FSC-ideals of BCl-algebras Bull. Korean Math. Soc. 41 (2004), No.1, pp. 167-179 CR - [6] Senapati, T. and Shum K. P., Atanassov’s intuitionistic fuzzy bi-normed KUsubalgebrs of a KU-algebra, Missouri J. Math. Sci., Volume 29, Issue 1 (2017), 92-112. CR - [7] Senapati T.,T-fuzzy KU-ideals of KU-algebras, June 2018, Volume 29, Issue 3–4, pp 591–600 Afrika Matematika. CR - [8] Mostafa S. M., Abd-Elnaby M. and Yousef M. M., Fuzzy ideals of KU-Algebras, International Math.Forum, Vol.6, (2011), no.63, 3139-3149. CR - [9] Mostafa S. M., Kareem F. F., N-Fold Commutative KU-Algebras International Journal of Algebra, Vol. 8, 2014, no. 6, 267 – 275 CR - [10] Mostafa S. M., Omar R. A. K, Abd El- Baseer, O. W., Sub implicative ideals of KUAlgebras, International Journal of Modern Science and Technology Vol. 2, No. 5, 2017. Page 223-227. CR - [11] Radwan A. E., Mostafa S. M., Ibrahem F. A. & Kareem F. F., Topology spectrum of a KU-Algebra. Journal of New Theory 5 (2015) Year: 2015, Number: 8, Pages: 78-91 CR - [12] Prabpayak C. and Leerawat U., On ideals and congruence in KU-algebras, Scientia Magna Journal, Vol. 5(2009), No.1, 54-57. CR - [13] Prabpayak C. and Leerawat U., On isomorphisms of KU-algebras, Scientia Magna Journal, 5(2009), no. 3, 25-31 CR - [14] Xi O. G., Fuzzy BCK-algebras, Math. Japan, 36 (1991) 935-942. CR - [15] Zadeh L. A., Fuzzy sets, Inform. and Control, 8 (1965) 338-353. UR - https://dergipark.org.tr/en/pub/jnt/issue//429866 L1 - https://dergipark.org.tr/en/download/article-file/482447 ER -