On fuzzy h-ideals of hemirings

Journal of Systems Science and Complexity

Volumn 20, Issue 3, 2007, Pages 470-478

  Ma, Xueling ^a   Zhan, Jianming ^a  

^a HUBEI UNIVERSITY FOR NATIONALITIES   (China)

Author keywords

H ideals; Hemirings; Interval valued ( V q) fuzzy h ideals; Interval valued fuzzy h ideals with thresholds

Indexed keywords

H-IDEALS; HEMIRINGS; INTERVAL VALUED FUZZY H-IDEALS; SUBGROUPS;

COMPUTATIONAL METHODS; FUZZY SETS; NUMERICAL METHODS; PROBLEM SOLVING; THEOREM PROVING;

LINEAR ALGEBRA;

EID: 35348956474     PISSN: 10096124     EISSN: 15597067     Source Type: Journal    
DOI: 10.1007/s11424-007-9043-0     Document Type: Article

References (28)

1. L. A. Zadeh, Fuzzy sets, Inform. Control, 1965, 8(1): 338-353.
2. A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl., 1971, 35(2): 512-517.
3. J. N. Mordeson and M. S. Malik, Fuzzy Commutative Algebra, World Publishing, Singapore, 1998.
4. L. A. Zadeh, The concept of a linguistic variable and its application to approximate reason, Inform. Control, 1975, 18(2): 199-249.
5. R. Biswas, Rosenfeld's fuzzy subgroups with interval valued membership functions, Fuzzy Sets Syst., 1994, 63(1): 87-90.
6. q)-fuzzy subgroups, Fuzzy Sets Syst., 1996, 80(3): 359-368.
7. P. M. Pu and Y.M. Liu, Fuzzy topology I: Neighourhood struture of a fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl., 1980, 76(2): 571-599.
8. q)-fuzzy normal, quasinormal and maximal subgroups, Fuzzy Sets Syst., 2000, 112(2): 299-312.
9. q)-level subsets, Fuzzy Sets Syst., 1999, 103(3): 529-533.
10. S. K. Bhakat and P. Das, On the definition of a fuzzy subgroup, Fuzzy Sets Syst., 1992, 51(2): 235-241.
11. S. K. Bhakat and P. Das, Fuzzy subrings and ideals redefined, Fuzzy Sets Syst., 1996, 81(3): 383-393.
12. X. H. Yuan, C. Zhang, and Y. H. Ren, Generalized fuzzy groups and many valued applications, Fuzzy Sets Syst., 2003, 138(1): 205-211.
13. A. W. Aho and J. D. Ullman, Introduction to Automata Theory, Languages and Computation, Addison-Wesley, Reading, MA, 1979.
14. K. Glazek, A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences: With Complete Bibliography, Kluwer Acad. Publ., Dodrecht, 2002.
15. W. Wechler, The Concept of Fuzziness in Automata and Language Theory, Akademie-Verlag, Berlin, 1978.
16. M. Henriksen, Ideals in semirings with commutative addition, Amer. Math. Soc. Notices, 1958, 6(1): 321.
17. Iizuka K. (1959). On the Jacobson radical of a semiring. Tohuku Math. J. 11(2): 409-421
18. D. R. La Torre, On h-ideals and k-ideals in hemirings, Publ. Math. Debrecen, 1965, 12(2): 219-226.
19. J. M. Zhan and W. A. Dudek, Fuzzy h-ideals of hemirings, Inform. Sci., 2007, 117(3): 876-886.
20. S. I. Baik and H. S. Kim, On fuzzy k-ideals in semirings, Kangweon-Kyunki Math. J., 2000, 8(2): 147-154.
21. S. Ghosh, Fuzzy k-ideals of semirings, Fuzzy Sets Syst., 1998, 95(1): 103-108.
22. D. S. Malik and J. N. Mordeson, Extensions of fuzzy subrings and fuzzy ideals, Fuzzy Sets Syst., 1992, 45(2): 245-251.
23. T. K. Mukherjee and M. K. Sen, Prime fuzzy ideals in rings, Fuzzy Sets Syst., 1989, 32(3): 337-341.
24. J. M. Zhan, On properties of fuzzy left h-ideals in hemirings with t-norms, Int. J. Math. Math. Sci., 2005, 2005(19): 3127-3144.
25. J. M. Zhan and Z. S. Tan, T-fuzzy k-ideals of semirings, Sci. Math. Japan., 2003, 58(3): 597-601.
26. J. M. Zhan and K. P. Shum, Intuitionistic (S,T)-fuzzy h-ideals of hemirings, East Asian Math. J., 2006, 22(1): 93-109.
27. J. M. Zhan and K. P. Shum, Intuitionistic M-fuzzy h-ideals of hemirings, J. Fuzzy Math., 2006, 14(4): 929-945.
28. J. M. Zhan and B. Davvaz, L-fuzzy h-ideals with operators in hemirings, Northeast Math. J., 2007, 23(1): 1-14.