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INTUITIONISTIC FUZZY HYPER BCK-IDEALS OF HYPER BCK-ALGEBRAS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 8، دوره 1، شماره 1، تیر 2004، صفحه 65-77 | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2004.495 | ||
| نویسندگان | ||
| Rajab Ali Borzooei1؛ Young Bae Jun* 2 | ||
| 1Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran | ||
| 2Department of Mathematics Education, Gyeongsang National University, Chinju (Jinju) 660-701, Korea | ||
| چکیده | ||
| The intuitionistic fuzzification of (strong, weak, s-weak) hyper BCK-ideals is introduced, and related properties are investigated. Characterizations of an intuitionistic fuzzy hyper BCK-ideal are established. Using a collection of hyper BCK-ideals with some conditions, an intuitionistic fuzzy hyper BCK-ideal is built. | ||
| کلیدواژهها | ||
| Hyper BCK-algebra؛ inf-sup property؛ Intuitionistic Fuzzy (Weak؛ s-weak؛ Strong) Hyper BCK-ideal | ||
| مراجع | ||
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[1] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 , No. 1 (1986) 87-96. [2] K. Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61 (1994) 137-142. [3] Y. B. Jun and W. H. Shim, Fuzzy implicative hyper BCK-ideals of hyper BCK-algebras, Internat. J. Math. & Math. Sci., 29 , No. 2 (2002) 63–70. [4] Y. B. Jun and X. L. Xin, Scalar elements and hyperatoms of hyper BCK-algebras, Scientiae Mathematicae, Vol. 2 , No. 3 (1999) 303–309. [5] Y. B. Jun and X. L. Xin, Fuzzy hyper BCK-ideals of hyper BCK-algebras, Scientiae Mathematicae Japonicae, Vol. 53 , No. 2 (2001) 353–360. [6] Y. B. Jun, X. L. Xin, E. H. Roh and M. M. Zahedi, Strong hyper BCK-ideals of hyper BCK-algebras, Math. Japonica, Vol. 51 , No. 3 (2000), 493–498. [7] Y. B. Jun, M. M. Zahedi, X. L. Xin and R. A. Borzooei, On hyper BCK-algebras, Italian J. of Pure and Appl. Math., 8 (2000) 127-136. [8] F. Marty, Sur une generalization de la notion de groupe, 8th Congress Math. Scandinaves, Stockholm (1934) 45-49. [9] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965) 338–353. | ||
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