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ON ANTI FUZZY IDEALS IN NEAR-RINGS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 9، دوره 2، شماره 2، دی 2005، صفحه 71-80 اصل مقاله (158.97 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2005.484 | ||
| نویسندگان | ||
| Kyung Ho Kim1؛ Young Bae Jun2؛ Yong Ho Yon3 | ||
| 1Department of Mathematics, Chungju National University, Chungju 380-702, Korea | ||
| 2Department of Mathematics Education, Gyeongsang National University, Chinju 660-701, Korea | ||
| 3Department of Mathematics, Chungbuk National University, Cheongju 361-763, Korea | ||
| چکیده | ||
| In this paper, we apply the Biswas’ idea of anti fuzzy subgroups to ideals of near-rings. We introduce the notion of anti fuzzy ideals of near-rings, and investigate some related properties. | ||
| کلیدواژه‌ها | ||
| near-ring؛ anti fuzzy subnear-ring؛ anti (fuzzy) right (resp. left) ideals؛ anti level right (resp. left) ideals | ||
| مراجع | ||
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[1] S. Abou-Zaid, On fuzzy subnear-rings and ideals, Fuzzy Sets and Sys 44, (1991), 139-146. [2] R. Biswas, Fuzzy subgroups and anti fuzzy subgroups, Fuzzy Sets and Sys 35, (1990), 121-124. [3] P. S. Das, Fuzzy groups and level subgroups, J. Math. Anal. and Appl. 84 , (1981), 264-269. [4] V. N. Dixit, R. Kumar and N. Ajmal, Fuzzy ideals and fuzzy prime ideals of a ring, Fuzzy Sets and Sys 44 , (1991), 127-138. [5] V. N. Dixit, R. Kumar and N. Ajmal, On fuzzy rings, Fuzzy Sets and Systems 49 , (1992), 205-213. [6] S. M. Hong, Y. B. Jun and H. S. Kim, Fuzzy ideals in near-rings, Bull. Korean Math. Soc. 35 (No. 3), (1998), 455-464. [7] C. K. Hur and H. S. Kim, On fuzzy relations of near-rings, Far East J. Math. Sci. (to appear). [8] Y. B. Jun and H. S. Kim, On fuzzy prime ideals under near-ring homomorphisms, (submitted). [9] K. H. Kim and Y. B. Jun, Anti fuzzy R-subgroups of near-rings, Scientiae Mathematicae 2 (No.2 ) , (1999), 147-153. [10] S. D. Kim and H. S. Kim , On fuzzy ideals of near-rings, Bull. Korean Math. Soc. 33, (1996), 593-601. [11] C. K. Kim and H. S. Kim, On normalized fuzzy ideals of near-rings, Far East J. Math. Sci. , (), . [12] R. Kumar , Fuzzy irreducible ideals in rings, Fuzzy Sets and Systems 42, (1991), 369-379. [13] R. Kumar, Certain fuzzy ideals of rings redefined, Fuzzy Sets and Systems 46, (1992), 251- 260. [14] W. Liu, Fuzzy invariant subgroups and fuzzy ideals, Fuzzy Sets and Systems 8, (1982), 133- 139. [15] D. S. Mailk, Fuzzy ideals of artinian rings, Fuzzy Sets and Systems 37, (1990), 111-115. [16] J. D. P. Meldrum, Near-rings and their links with groups, Pitman, Boston , (1985). [17] A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35, (1971), 512-517. [18] L. A. Zadeh, Fuzzy sets, Inform. and Control. 8, (1965), 338-353. | ||
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