The L-fuzzy hypermodules

Computers and Mathematics with Applications

Volumn 59, Issue 2, 2010, Pages 953-963

  Yin, Yunqiang ^a   Zhan, Jianming ^b   Xu, Dehua ^a   Wang, Jiayin ^c  

^a EAST CHINA UNIVERSITY OF TECHNOLOGY   (China)

^b HUBEI UNIVERSITY FOR NATIONALITIES   (China)

^c BEIJING NORMAL UNIVERSITY   (China)

Author keywords

L fuzzy regular relation; L fuzzy hypermodule (strong) homomorphism; L fuzzy hyperoperation; L fuzzy hyperring; L fuzzy R hypermodule

Indexed keywords

HYPERRING; L-FUZZY HYPEROPERATION;

EID: 72949100327     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2009.09.012     Document Type: Article

References (27)

1. F. Marty, Sur une generalization de la notion de groupe, in: 8th Congress Math. Scandinaves, Stockholm, 1934, pp. 45-49
2. Corsini P. Prolegomena of hypergroup theory (1993), Aviani Editore, Italy
3. Vougiouklis T. Hyperstructures and their Representations (1994), Hadronic Press Inc., Palm Harbor, USA
4. Corsini P., and Leoreanu V. Applications of hyperstructure theory. Advances in Mathematics (Dordrecht) (2003), Kluwer Academic Publishers, Dordrecht
5. Zadeh L.A. Fuzzy sets. Inform. Control 8 (1965) 338-358
6. Corsini P., and Leoreanu V. Join spaces associated with fuzzy sets. J. Comb., Inf. Syst. Sci. 20 (1995) 293-303
7. Corsini P., and Leoreanu V. Fuzzy sets and join spaces associated with rough sets. Rend. Circ. Mat. Palermo 51 (2002) 527-536
8. Corsini P. Hyperstructures associated with fuzzy sets endowed with two membership functions. J. Comb. Inf. Syst. Sci. 31 (2006) 247-254
9. Cristea I. Hyperstructures and fuzzy sets endowed with two membership functions. Fuzzy Sets and Systems 160 (2009) 1114-1124
10. Leoreanu V. Direct limit and inverse limit of join spaces associated with fuzzy sets. Pure Math. Appl. 11 (2000) 509-516
11. Serafimidis K., Kehagias A., and Konstantinidou M. The L-fuzzy Corsini join hyperoperation. Ital. J. Pure Appl. Math. 12 (2002) 83-90
12. Stefanescu M., and Cristea I. On the fuzzy grade of hypergroups. Fuzzy Sets and Systems 159 (2008) 1097-1106
13. Zahedi M.M., Bolurian M., and Hasankhani A. On polygroups and fuzzy subpolygroups. J. Fuzzy Math. 3 (1995) 1-15
14. Ameri R., and Hedayati H. On fuzzy closed, invertible and reflexive subsets of hypergroups. Ital. J. Pure Appl. Math. 22 (2007) 95-114
15. Davvaz B., and Corsini P. Generalized fuzzy sub-hyperquasigroups of hyperquasigroups. Soft. Comput. 10 11 (2006) 1109-1114
16. Davvaz B., Corsini P., and Leoreanu V. Fuzzy n-ary subpolygroups. Comput. Math. Appl. 57 (2009) 141-152
17. v-modules with t-norms. SEA Bull. Math. 32 (2008) 805-822
18. Zhan J., Davvaz B., and Shum K.P. On fuzzy isomorphism theorems of hypermodules. Soft. Comput. 11 (2007) 1053-1057
19. Zhan J., Davvaz B., and Shum K.P. Isomorphism theorems of hypermodules. Acta. Math. Sinica (Chin. Ser.) 50 4 (2007) 909-914
20. Zhan J., Davvaz B., and Shum K.P. A new view of fuzzy hypermodules. Acta. Math. Sin. (Engl. Ser.) 23 8 (2007) 1345-1356
21. v-submodules. Acta. Math. Sin. (Engl. Ser.) 22 (2006) 963-970
22. Corsini P., and Tofan I. On fuzzy hypergroups. Pure Math. Appl. 8 (1997) 29-37
23. Kehagias A., and Serafimidis K. The L-fuzzy Nakano hypergroup. Inform. Sci. 169 (2005) 305-327
24. Sen M.K., Ameri R., and Chowdhury G. Fuzzy hypersemigroups. Soft. Comput. 12 (2008) 891-900
25. Leoreanu V., and Davvaz B. Fuzzy hyperrings. Fuzzy Sets and Systems 160 (2009) 2366-2378
26. Leoreanu V. Fuzzy hypermodules. Comput. Math. Appl. 57 (2009) 466-475
27. Goguen J.A. L-fuzzy sets. J. Math. Anal. Appl. 18 (1967) 145-174