Browse > Article
http://dx.doi.org/10.14403/jcms.2010.23.2.237

ON FUZZY SUBHYPERNEAR-RINGS OF HYPERNEAR-RINGS WITH t-NORMS  

Lee, Jong Geol (Department of Mathematics Chungju National University)
Kim, Kyung Ho (Department of Mathematics Chungju National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.23, no.2, 2010 , pp. 237-243 More about this Journal
Abstract
In this paper, we investigate some properties of T-fuzzy subhypernear-rings of a hypernear-ring.
Keywords
hypernear-ring; subhypernerar-ring; T-fuzzy subhypernear-ring; anti T-fuzzy subhypernear-ring; uniformity; uniform space;
Citations & Related Records
연도 인용수 순위
  • Reference
1 M. T. Abu Osman, On some product of fuzzy subgroups, Fuzzy Sets and Sys, 24, (1987), 79-86.   DOI   ScienceOn
2 S. Abou-Zaid, On fuzzy subnear-rings and ideals, Fuzzy Sets and Sys. 44, (1991), 139-146.   DOI   ScienceOn
3 R. Ameri and M. M. Zahedi, T-fuzzy hyperalgebraic systems, AFSS 2002, LNAI 2275, (2002), 509-514.
4 J.M. Anthony and H. Shewood, Fuzzy groups redifined, 69 (1979), 124-130.   DOI
5 P. Corsini and V. Leoreanu, Applications of hyperstructure theory, Advanced in Mathematics, Vol. 5, Klower Academic Publishers, 2003.
6 V. Dasic, Hypernear-rings, Proceedings of the Forth International Congress on A. H. A., Xanthi, Greece, World Scientific, (1990), 75-85.
7 B. Davvaz, On hypernear-rings and fuzzy hyperideals, The Journal of Fuzzy Mathematics, 7 (1999), no. 3, 745-753.
8 B. Davvaz, $H_v$-Near-Rings, Math. Japonica, 52 (2000), no. 2, 387-392.
9 B. Davvaz, T-fuzzy $H_v$-subrings of an $H_v$-ring, The Journal of Fuzzy Mathematics, 11 (2003), no. 1, 215-224.
10 B. Davvaz, Fuzzy R-subgroups with thresholds of near-ings and implication operators, Soft Computing (to appear)   DOI   ScienceOn
11 V. M. Gontineac, On hypernear-rings and H-hypergroups, Proceedings of the Forth International Congress on A. H. A. 1993, Hadronic Press, Inc., USA, (1994), 171-179.
12 K. H. Kim, B. Davvaz and E. H. Roh, On Hyper R-subgroups of Hypernear-rings, Scientiae Mathematicae Japoniciae (submitted).
13 K. H. Kim, B. Davvaz and E. H. Roh, On fuzzy hyper R-subgroups of hypernear- rings, Italian Journal of Pure and Applied Mathematics, 20 (2006), 177-192.
14 M. Krasner, A class of hyperrings and hyperfields, Int. J. Math. and Math. Sci. 2 (1983), 307-312.
15 O. Kazanci, S. Yamark and S. Yilmaz, On intuitionistic Q-fuzzy R-subgroups of Near-rings, International Mathematical Forum, 2 (No. 59) (2007), 2899-2910.   DOI
16 F. Matry, Sur une generalization de la notion de groupe, $8^{iem}$ congress Math. Scandenaves, Stoockholm, (1934), 45-49.
17 G. Pllz, Near-rings, North-Holland Publ., Co, 1977.
18 A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl., 35 (1971), 512-517.   DOI
19 B. Schweizer and A. Sklar, Statistical metric spaces, Pacific J. Math. 10 (1960), 313-334.   DOI
20 T. Vougiouklis, Hyperstructures and their representations, Hadronic Press, Inc. 115, Palm Harber, USA, 1994.
21 S. Willard, General Topology, Addison-Wesley Publ., USA, 1970.
22 Y. H. Yon, On intuitionistic fuzzy R-subgroups of near-rings, Soochow Journal of Mathematics 27 (3), (2001), 243-253.
23 L. Zadeh, Fuzzy sets, Inform. and Contral 8, (1965), 338-353.   DOI