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SOME RESULTS OF INTUITIONISTIC FUZZY WEAK DUAL HYPER K-IDEALS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 6، دوره 5، شماره 1، بهار 2008، صفحه 65-78 اصل مقاله (219.33 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2008.317 | ||
| نویسندگان | ||
L. Torkzadeh  1؛ M. Abbasi1؛ M. M. Zahedi Zahedi2
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| 1Department Of Mathematics, Islamic Azad University of Kerman, Kerman, Iran | ||
| 2Department Of Mathematics, Shahid Bahonar University Of Kerman, Kerman, Iran | ||
| چکیده | ||
| In this note we consider the notion of intuitionistic fuzzy (weak) dual hyper K-ideals and obtain related results. Then we classify this notion according to level sets. After that we determine the relationships between intuitionistic fuzzy (weak) dual hyper K-ideals and intuitionistic fuzzy (weak) hyper K-ideals. Finally, we define the notion of the product of two intuitionistic fuzzy (weak) dual hyper K-ideals and prove several Decomposition Theorems. | ||
| کلیدواژه‌ها | ||
| Dual hyper K-ideal؛ Intuitionistic fuzzy dual hyper K-ideal | ||
| مراجع | ||
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[1] K. Atanassov,Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1) (1986), 87-96. [2] R. A. Borzooei and M. M. Zahedi,Positive implicative hyper K-ideals, Scientiae Mathematicae Japonicae,53(3) (2001), 525-533. [3] R. A. Borzooei, A. Hasankhani, M. M. Zahedi and Y. B. Jun,On hyper K-algebras, Math. Japon.,52(1) (2000), 113-121. [4] P. Corsini and V. Leoreanu,Applications of hyper structure theory, Kluwer Academic Publishers, 2003. [5] Y. Imai and K. Iseki,On axiom systems of propositional calculi, XIV Proc. Japan Academy, 42(1966), 19-22. [6] K. Iseki and S. Tanaka,An introduction to the theory of BCK-algebras, Math. Japon, 23 (1978), 1-26. [7] F. Marty,Sur une generalization de la notion de groups, 8th congress Math. Scandinaves, Stockholm, (1934), 45-49. [8] J. Meng and Y. B. Jun,BCK-algebras, Kyung Moonsa, Seoul, Korea, 1994. [9] L. Torkzadeh and M. M. Zahedi,Dual positive implicative hyper K-ideals of type 4, J. Quasigroups and Related Systems,9 (2002), 85-106. [10] L. Torkzadeh and M. M. Zahedi,(Weak) dual hyper K-ideals , Soft Computing, to appear. [11] L. Torkzadeh and M. M. Zahedi,(Anti) fuzzy dual positive implicative hyper K-ideals, Italian Journal of Pure and Applied Mathematics,17 (2005), 69-82. [12] L. Torkzadeh and M. M. Zahedi,Intuitionistic fuzzy commutative hyper K-ideals, J. Appl. Math. & Computing, to appear. [13] L. A. Zadeh,Fuzzy sets, Information and Control, 8 (1965), 338-353. | ||
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