FUZZY CONVEX SUBALGEBRAS OF COMMUTATIVE RESIDUATED LATTICES

[1] T. S. Blyth and M. F. Janovitz,Residuation theory, Perogamon Press, 1972.

[2] K. Blount and C. Tsinakies,The structure of residuated lattices, Internat. J. Algebra Comput.,

13(4)(2003), 437-461.

[3] P. S. Das,Fuzzy groups and level subgroups, Math. Anal. Appl., 84 (1981), 264-269.

[4] R. P. Dilworth,Non-commutative residuated lattices, Trans. Amer. Math. Soc., (1939), 426-444.

[5] J. Hart, L. Rafter and C. Tsinakis,The structure of commutative residuated lattices, Internat.

J. Algebra Comput.,12(4) (2002), 509-524.

[6] A. Hasankhani and A. Saadat,Some quotients on BCK-algebra generated by a fuzzy set,

Iranian Journal of Fuzzy Systems,1(2) (2004), 33-43.

[7] K. Hur, S. Y. Jang and H. W. Kang,Some intuitionistic fuzzy congruences, Iranian Journal

of Fuzzy Systems,3(1) (2006), 45-57.

[8] A. Iorgulescu,Classes of BCK algebras-part III, Preprint Series of the Institute of Mathematics

of the Romanian Academy, preprint,3 (2004), 1-37.

[9] T. Kowalski and H. Ono,Residuated lattices: an algebraic glimpse at logic without contraction,

Japan Advanced Insitute of Science and Technology, 2001.

[10] L. Lianzhen and L. Kaitai,Fuzzy filters of BL- algebras, Information Sciences, 173 (2005),141-154.

[11] V. Murali,Fuzzy equivalence relations, Fuzzy Sets and Systems, 30 (1989), 155-163.

[12] E. Turunen,Mathematics behind fuzzy logic, Physica-Verlag, 1999.

[13] M. Ward,Residuated distributive lattices, Duke Math. J., (1940), 641-651.

[14] M. Ward and R. P. Dilworth,Residuated lattices, Trans. Amer. Math. Soc., (1939), 335-354.

[15] L. A. Zadeh,Fuzzy sets, Information and Control ,(1965), 338-353.

[16] J. L. Zhang,Fuzzy filters of the residuated lattices, New Math. Nat. Comput., 2(1) (2006),11-28.