Abstract
Let H be a hypersemigroup(hypergroup), we associate a fuzzy geometric spaces
Keywords
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References
1.
Ameri
R.
, On the categories of hypergroups and hypermodules , Journal of Discrete J. Mathematical Sciences & Cryptography 6 (2003 ), 121 –132 .
2.
Ameri
R.
and
Nozari
T.
, Complete parts and fundamental relation of fuzzy hypersemigroup , J of Mult-Valued Logic and Soft Computing 19 (2010 ), 451 –460 .
3.
Ameri
R.
,
Nozari
T.
and
Norouzi
M.
, On fuzzy geometric spaces , (submitted).
4.
Anvariyeh
S.M.
and
Davvaz
B.
, Strongly transitive geometric spaces associated to hypermodules , Journal of Algebra 322 (2009 ), 1340 –1359 .
5.
Chowdhury
G.
, Fuzzy transposition hypergroups , Iranian Journal of Fuzzy Systems 6 (3 ) (2009 ), 37 –52 .
6.
Corsini
P.
, Prolegomena of Hypergroup Theory , second edition Aviani editor , 1993 .
7.
Corsini
P.
and
Leoreanu
V.
, Applications of Hyperstructure Theory , Kluwer Academic Publications , 2003 .
8.
Corsini
P.
and
Tofan
I.
, On fuzzy hypergroups , PU M A 8 (1997 ), 29 –37 .
9.
Freni
D.
, Strongly transitive geometric spaces: Applications to hypergroups and semigroups theory , Comm Algebra 32 (3 ) (2004 ), 969 –988 .
10.
Koskas
M.
, Groupoids, Demi-hypergroups et hypergroupes , J Math Pures Appl 49 (9 ) (1970 ), 155 –192 .
11.
Leoreanu-Fotea
V.
and
Davvaz
B.
, Fuzzy hyperrings , Fuzzy Sets and Systems 160 (2009 ), 2366 –2378 .
12.
Leoreanu-Fotea
V.
, Fuzzy hypermodules , Comput Math Appl 1 57 (2009 ), 466 –475 .
13.
Marty
F.
, Sur une generalization de la notion de groupe , 8item Congress des Mathematiciens Scandinavas , Stockholm , 1934 , 45 –49 .
14.
Mirvakili
S.
and
Davvaz
B.
, Strongly transitive geometric spaces: Applications to hyperrings , Union Matematica Argentina 53 (1 ) (2012 ), 43 –53 .
15.
Sen
M.K.
,
Ameri
R.
and
Chowdhury
G.
, Fuzzy hypersemigroups , Soft Comput 12 (2008 ), 891 –900 .
16.
Serafimids
K.
,
Kehagias
A.
and
Konstantinidou
M.
, The L-fuzzy Corsini join hyperoperation , Italian J Pure Appl Math 12 (2002 ), 83 –90 .
17.
Vougiouklis
T.
, Groups in hypergroups , Anals Discrete Math 37 (1988 ), 459 –468 .