FUZZY PSEUDOTOPOLOGICAL HYPERGROUPOIDS

On a hypergroupoid one can define a topology such that the hy- peroperation is pseudocontinuous or continuous. In this paper we extend this concepts to the fuzzy case. We give a connection between the classical and the fuzzy (pseudo)continuous hyperoperations.

[1]  Bijan Davvaz,et al.  Fuzzy Hv-submodules , 2001, Fuzzy Sets Syst..

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

[3]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

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

[5]  James Jantosciak,et al.  Transposition Hypergroups: Noncommutative Join Spaces , 1997 .

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

[7]  Cong-hua Yan,et al.  I-fuzzy topological groups , 2010, Fuzzy Sets Syst..

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

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

[10]  Jianming Zhan,et al.  A new view of fuzzy hyperquasigroups , 2009, J. Intell. Fuzzy Syst..

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

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

[13]  Piergiulio Corsini,et al.  On fuzzy hypergroups , 1997 .

[14]  Jianming Zhan,et al.  Generalized fuzzy Hv-submodules endowed with interval valued membership functions , 2008, Inf. Sci..

[15]  Young Bae Jun,et al.  Intuitionistic fuzzy Hv-submodules , 2006, Inf. Sci..

[16]  I. Cristea.  About the fuzzy grade of the direct product of two hypergroupoids , 2010 .

[17]  Reza Ameri,et al.  Topological (transposition) hypergroups , 2003 .

[18]  Jianming Zhan,et al.  A new view of fuzzy hypernear-rings , 2008, Inf. Sci..

[19]  Young Bae Jun,et al.  Intuitionistic fuzzy H v -submodules , 2006 .

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

[21]  Bijan Davvaz,et al.  Fuzzy Hv-groups , 1999, Fuzzy Sets Syst..

[22]  Ying-ming Liu,et al.  Fuzzy Topology , 1998, Advances in Fuzzy Systems - Applications and Theory.

[23]  S. Jafari,et al.  ON FUZZY TOPOLOGICAL GROUPS AND FUZZY CONTINUOUS FUNCTIONS , 2005 .

[24]  John N. Mordeson,et al.  Fuzzy Topological Spaces , 2001 .

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

[26]  R. Lowen.  Fuzzy topological spaces and fuzzy compactness , 1976 .