The L-fuzzy hypermodules

In this paper, we introduce the concept of L-fuzzy hypermodules over an L-fuzzy hyperring and investigate some of their properties. We provide the notion of L-fuzzyR-subhypermodules of an L-fuzzy R-hypermodule and derive a kind of L-fuzzy quotient hypermodule by using an L-fuzzy R-subhypermodule. We also study the properties of L-fuzzy @a-regular relation on L-fuzzy R-hypermodules and investigate L-fuzzy hypermodule (strong) homomorphism.

[1]  W. Dudek,et al.  Interval Valued Intuitionistic (S, T)–fuzzy Hv–submodules , 2006, math/0605714.

[2]  Bobby Schmidt,et al.  Fuzzy math , 2001 .

[3]  Irina Cristea,et al.  Hyperstructures and fuzzy sets endowed with two membership functions , 2009, Fuzzy Sets Syst..

[4]  Maria Konstantinidou,et al.  The L-fuzzy corsini join hyperoperation , 2002 .

[5]  Bijan Davvaz,et al.  Generalized Fuzzy Sub-hyperquasigroups of Hyperquasigroups , 2006, Soft Comput..

[6]  F. Marty Sur une generalization de la notion de groupe , 1934 .

[7]  Irina Cristea,et al.  On the fuzzy grade of hypergroups , 2008, Fuzzy Sets Syst..

[8]  Athanasios Kehagias,et al.  The L-fuzzy Nakano hypergroup , 2005, Inf. Sci..

[9]  Mrinal K. Sen,et al.  Fuzzy hypersemigroups , 2008, Soft Comput..

[10]  J. Goguen L-fuzzy sets , 1967 .

[11]  Jianming Zhan,et al.  On fuzzy isomorphism theorems of hypermodules , 2007, Soft Comput..

[12]  Piergiulio Corsini,et al.  Fuzzy sets and join spaces associated with rough sets , 2002 .

[13]  B. Davvaz,et al.  A New View on Fuzzy Hypermodules , 2007 .

[14]  Bijan Davvaz,et al.  Fuzzy n-ary subpolygroups , 2009, Comput. Math. Appl..

[15]  Bijan Davvaz,et al.  Fuzzy hyperrings , 2009, Fuzzy Sets Syst..

[16]  V. Leoreanu,et al.  Direct limit and inverse limit of join spaces associated with fuzzy sets , 2000 .

[17]  Violeta Leoreanu Fotea,et al.  Fuzzy hypermodules , 2009, Comput. Math. Appl..

[18]  S. Faculty Isomorphism Theorems of Hypermodules , 2007 .