On characterizations of generalized fuzzy ideals of BCI-algebras

References

• Bhakat , S. K. and Das , P. 1996 . -fuzzy subgroups . Fuzzy Sets and Systems , 80 : 359 – 368 .
   Web of Science ®Google Scholar
• Chang , C. C. 1958 . Algebraic analysis of many valued logic . Trans. Amer. Math. Soc. , 88 : 467 – 490 .
   Google Scholar
• Davvaz , B. 2006 . -fuzzy subnear-rings and ideals . Soft Computing , 10 : 206 – 211 .
   Web of Science ®Google Scholar
• Dudek , W. A. 1998 . On group-like BCI-algebras . Demonstratio Math. , 21 : 369 – 376 .
   Google Scholar
• Dudek , W. A. and Thomys , J. 1990 . On decompositions of BCH-algebras . Math. Japon , 35 : 1131 – 1138 .
   Google Scholar
• Esteva , F. and Godo , L. 2001 . Monoidal t-norm based logic: towards a logic for left-continuous t-norms . Fuzzy Sets and Systems , 124 : 271 – 288 .
   Web of Science ®Google Scholar
• Hájek , P. 1998 . “ Metamathematics of Fuzzy Logic ” . Dordrecht : Kluwer Academic Press .
   Google Scholar
• Iséki , K. 1966 . An algebra related with a propositional calculus . Proc. Japan Acad. , 42 : 26 – 29 .
   Google Scholar
• Kondo , M. and Dudek , W. A. 2005 . On the fuzzy transfer principle in fuzzy theory . Mathware Soft Comput. , 12 : 41 – 55 .
   Google Scholar
• Jun , Y. B. 2004 . On -fuzzy ideals of BCK/BCI-algebras . Sci. Math. Japon , 60 : 613 – 617 .
   Google Scholar
• Liu , Y. L. , Liu , S. Y. and Meng , J. 2004 . FSI-ideals and FSC-ideals of BCI-algebras . Bull. Korean Math. Soc. , 41 : 167 – 179 .
   Google Scholar
• Liu , Y. L. and Meng , J. 2000 . Sub-implicative ideals and sub-commutative ideals of BCI-algebras . Soochow J. Math. , 26 : 441 – 453 .
   Google Scholar
• Liu , Y. L. and Meng , J. 2001 . Fuzzy ideals in BCI-algebras . Fuzzy Sets and Systems , 123 : 227 – 237 .
   Google Scholar
• Liu , Y. L. , Xu , Y. and Meng , J. 2007 . BCI-implicative ideals of BCI-algebras . Inform. Sci. , 177 : 4987 – 4996 .
   Google Scholar
• Meng , J. and Guo , X. 2005 . On fuzzy ideals in BCK-algebras . Fuzzy Sets and Systems , 149 : 509 – 525 .
   Google Scholar
• Meng , J. and Xin , X. L. 1992 . Implicative BCI-algebras . (Chinese) Pure Appl. Math. , 8 ( 2 ) : 99 – 103 .
   Google Scholar
• Meng , J. and Xin , X. L. 1992 . Commutative BCI-algebras . Math. Japon , 37 : 569 – 572 .
   Google Scholar
• Meng , J. and Xin , X. L. 1993 . Positive implicative BCI-algebras . (Chinese) Pure Appl. Math. , 9 ( 1 ) : 19 – 22 .
   Google Scholar
• Mundici , D. 1986 . MV-algebras are categorically equivalent to bounded commutative BCK-algebras . Math. Japon , 31 : 889 – 894 .
   Google Scholar
• Pu , P. M. and Liu , Y. M. 1980 . Fuzzy topology I: Neighourhood structure of a fuzzy point and Moore-Smith convergence . J. Math. Anal. Appl. , 76 : 571 – 599 .
   Web of Science ®Google Scholar
• Yuan , X. H. , Zhang , C. and Ren , Y. H. 2003 . Generalized fuzzy groups and many valued applications . Fuzzy Sets and Systems , 138 : 205 – 211 .
   Web of Science ®Google Scholar
• Zadeh , L. A. 1965 . Fuzzy sets . Inform. Control , 8 : 338 – 353 .
   Web of Science ®Google Scholar
• Zadeh , L. A. 2005 . Toward a generalized theory of uncertainty (GTU)-an outine . Inform. Sci. , 172 : 1 – 40 .
   Web of Science ®Google Scholar
• Zhan , J. and Jun , Y. B. 2009 . Generalized fuzzy ideals of BCI-algebras . Bull. Malaysian Math. Sci. Soc. , 32 ( 2 ) : 119 – 130 .
   Google Scholar
• Zhan , J. , Jun , Y. B. and Davvaz , B. 2009 . On -fuzzy ideals of BCI-algebras . Iran J. Fuzzy Systems , 6 ( 1 ) : 81 – 94 .
   Google Scholar
• Zhang , X. H. , Jiang , H. and Bhatti , S. A. 1994 . On p-ideals of BCI-algebras . Punjab Univ. J. Math. , 27 : 121 – 128 .
   Google Scholar