Fuzzy Boolean and positive implicative filters of BL-algebras

Fuzzy Sets and Systems

Volumn 152, Issue 2, 2005, Pages 333-348

  Lianzhen, Liu ^a,b   Kaitai, Li ^a  

^a XI'AN JIAOTONG UNIVERSITY   (China)

^b JIANGNAN UNIVERSITY   (China)

Author keywords

BL algebra; Boolean filter; Fuzzy Boolean filter; Fuzzy positive implicative filter

Indexed keywords

BOOLEAN ALGEBRA; COMPUTATIONAL METHODS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NUMBER THEORY; THEOREM PROVING;

BL-ALGEBRA; BOOLEAN FILTERS; FUZZY BOOLEAN FILTERS; FUZZY POSITIVE IMPLICATIVE FILTERS;

FUZZY SETS;

EID: 17444366930     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2004.10.005     Document Type: Article

References (22)

1. C.C. Chang Algebraic analysis of many valued logics Trans. Amer. Math. Soc. 88 1958 467 490
2. P. Hájek Metamathematics of Fuzzy Logic 1998 Kluwer Academic Publishers Dordrecht
3. C.S. Hoo Fuzzy implicative and Boolean ideals of MV -algebras Fuzzy Sets and Systems 66 1994 315 327
4. C.S. Hoo, and S. Sessa Implicative and Boolean ideals of MV -algebras Math. Japon. 39 1994 215 219
5. A. Iorgulescu Some direct ascendents of Wajsberg and MV -algebras Sci. Math. Japon. 57 2003 583 647
6. K. Iséki, and S. Tanaka Ideal theory of BCK -algebras Math. Japon. 21 1976 351 366
7. K. Iséki, and S. Tanaka An introduction to the theory of BCK -algebras Math. Japon. 23 1978 1 26
8. Y.B. Jun Fuzzy positive implicative and fuzzy associative filters of lattice implication algebras Fuzzy Sets and Systems 121 2001 353 357
9. Y.B. Jun, and S.Z. Song On fuzzy implicative filters of lattice implication algebras J. Fuzzy Math. 10 2002 893 900
10. M. Kondo Fuzzy congruence on BCI -algebras Sci. Math. Japon. 57 2003 191 196
11. L.Z. Liu, K.T. Li, Fuzzy filters of BL -algebras, Inform. Sci., in press.
12. M. Mundici MV -algebras are categorically equivalent to bounded commutative BCK -algebras Math. Japon. 31 1986 889 894
13. E.H. Rom, S.Y. Kim, Y. Xu, and Y.B. Jun Some operations on lattice implication algebras IJMMS 1 2001 45 52
14. E. Turunen Mathematics Behind Fuzzy Logic 1999 Physica-Verlag Heidelberg
15. E. Turunen Boolean deductive systems of BL -algebras Arch. Math. Logic 40 2001 467 473
16. E. Turunen, and S. Sessa Local BL -algebras Mult-Valued Logic 6 2001 229 249
17. G.J. Wang MV -algebras BL -algebras, R 0 algebras and multiple-valued logic Fuzzy Systems Math. 3 2002 1 15
18. O. Xi Fuzzy BCK -algebras Math. Japon. 36 1991 935 942
19. Y. Xu Lattice implication algebras J. Southwest Jiaotong Univ. 1 1993 20 27
20. Y. Xu, and K.Y. Qin On filters of lattice implication algebras[J] J. Fuzzy Math. 1 1993 251 260
21. Y. Xu, and K.Y. Qin Fuzzy lattice implication algebras J. Southwest Jiaotong Univ. 2 1995 121 127
22. L.A. Zadeh Fuzzy sets Inform. and Control 8 1965 338 353