CHARACTERIZATIONS OF REGULAR ABEL-GRASSMANN ’ S GROUPOIDS BY THE PROPERTIES OF THEIR ( ∈ , ∈ ∨ q k )-FUZZY IDEALS

In this paper, we characterize some properties of regular Abel-Grassmann’s groupoid in terms of its (∈,∈ ∨qk)-fuzzy ideals.

[1]  P. Yiarayong -Abel-Grassmann's Groupoids , 2015 .

[2]  Young Bae Jun,et al.  Soft sets and soft rough sets , 2011, Inf. Sci..

[3]  Venus Amjid,et al.  On some classes of Abel-Grassmann's groupoids , 2010, 1010.5965.

[4]  Bijan Davvaz,et al.  Soft sets combined with fuzzy sets and rough sets: a tentative approach , 2010, Soft Comput..

[5]  Young Bae Jun,et al.  Semigroups characterized by ( ELEMENT OF , ELEMENT OF OR qk)-fuzzy ideals , 2010, Comput. Math. Appl..

[6]  Young Bae Jun,et al.  Characterizations of regular semigroups by (alpha, beta)-fuzzy ideals , 2010, Comput. Math. Appl..

[7]  Jianming Zhan,et al.  Generalized fuzzy interior ideals of semigroups , 2006, Neural Computing and Applications.

[8]  Sultan Yamak,et al.  Generalized fuzzy bi-ideals of semigroups , 2008, Soft Comput..

[9]  Niovi Kehayopulu,et al.  Regular ordered semigroups in terms of fuzzy subsets , 2006, Inf. Sci..

[10]  B. Davvaz (ELEMENT OF, ELEMENT OF REVERSED CARET Q)-FUZZY SUBNEAR RINGS AND IDEALS , 2006 .

[11]  Venkat Murali,et al.  Fuzzy points of equivalent fuzzy subsets , 2004, Inf. Sci..

[12]  D. Molodtsov Soft set theory—First results , 1999 .

[13]  S. K. Bhakat,et al.  (ε Ɛ V Q)-fuzzy Subgroup , 1996, Fuzzy Sets Syst..

[14]  Protić P.V.,et al.  AG-test and some general properties of Abel-Grassmann's groupoids , 1995 .

[15]  Nobuaki Kuroki,et al.  Fuzzy semiprime quasi-ideals in semigroups , 1993, Inf. Sci..

[16]  S. K. Bhakat,et al.  On the definition of a fuzzy subgroup , 1992 .

[17]  Pu Pao-Ming,et al.  Fuzzy topology. I. Neighborhood structure of a fuzzy point and Moore-Smith convergence , 1980 .

[18]  Naseeruddin,et al.  On almost semigroups , 1977 .

[19]  Mario Petrich,et al.  Introduction to semigroups , 1973 .

[20]  S. Lajos,et al.  On Characterization of Regular Semigroups , 1968 .

[21]  W. D. Munn,et al.  The Algebraic Theory of Semigroups, Vol. I , 1964, The Mathematical Gazette.

[22]  A. Clifford,et al.  The algebraic theory of semigroups , 1964 .

[23]  Theresa Beaubouef,et al.  Rough Sets , 2019, Lecture Notes in Computer Science.

[24]  Robert LIN,et al.  NOTE ON FUZZY SETS , 2014 .

[25]  P. Yiarayong -Abel-Grassmann's Groupoids , 2015 .

[26]  Young Bae Jun,et al.  Soft sets and soft rough sets , 2011, Inf. Sci..

[27]  Venus Amjid,et al.  On some classes of Abel-Grassmann's groupoids , 2010, 1010.5965.

[28]  Bijan Davvaz,et al.  Soft sets combined with fuzzy sets and rough sets: a tentative approach , 2010, Soft Comput..

[29]  Young Bae Jun,et al.  Characterizations of regular semigroups by (alpha, beta)-fuzzy ideals , 2010, Comput. Math. Appl..

[30]  Young Bae Jun,et al.  Semigroups characterized by ( ELEMENT OF , ELEMENT OF OR qk)-fuzzy ideals , 2010, Comput. Math. Appl..

[31]  Jianming Zhan,et al.  Generalized fuzzy interior ideals of semigroups , 2006, Neural Computing and Applications.

[32]  Sultan Yamak,et al.  Generalized fuzzy bi-ideals of semigroups , 2008, Soft Comput..

[33]  Niovi Kehayopulu,et al.  Regular ordered semigroups in terms of fuzzy subsets , 2006, Inf. Sci..

[34]  Bijan Davvaz,et al.  (∈, ∈ ∨ q)-fuzzy subnear-rings and ideals , 2006, Soft Comput..

[35]  Venkat Murali,et al.  Fuzzy points of equivalent fuzzy subsets , 2004, Inf. Sci..

[36]  John N. Mordeson,et al.  Fuzzy Semigroups , 2003, Studies in Fuzziness and Soft Computing.

[37]  L. Zadeh Fuzzy Topology. I. Neighborhood Structure of a Fuzzy Point and Moore-Smith Convergence* , 2003 .

[38]  D. Molodtsov Soft set theory—First results , 1999 .

[39]  Protić P.V.,et al.  AG-test and some general properties of Abel-Grassmann's groupoids , 1995 .

[40]  Nobuaki Kuroki,et al.  Fuzzy semiprime quasi-ideals in semigroups , 1993, Inf. Sci..

[41]  S. K. Bhakat,et al.  On the definition of a fuzzy subgroup , 1992 .

[42]  Naseeruddin,et al.  On almost semigroups , 1977 .

[43]  Mario Petrich,et al.  Introduction to semigroups , 1973 .

[44]  S. Lajos,et al.  On Characterization of Regular Semigroups , 1968 .

[45]  A. Clifford,et al.  The algebraic theory of semigroups , 1964 .