Fuzzy homomorphisms of algebras

Fuzzy Sets and Systems

Volumn 160, Issue 16, 2009, Pages 2345-2365

  Ignjatović, Jelena ^a   Ćirić, Miroslav ^a   Bogdanović, Stojan ^a  

^a UNIVERSITY OF NI   (Serbia)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRAIC OPERATIONS; FUZZY RELATIONS; MORPHISMS;

SET THEORY;

ALGEBRA;

EID: 67349153317     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2008.11.024     Document Type: Article

References (49)

1. Bělohlávek R. Determinism and fuzzy automata. Inform. Sci. 143 (2002) 205-209
2. Bělohlávek R., and Vychodil V. Fuzzy Equational Logic (2005), Springer, Berlin/Heidelberg
3. Bělohlávek R., and Vychodil V. Algebras with fuzzy equalities. Fuzzy Sets and Systems 157 (2006) 161-201
4. Burris S., and Sankappanavar H.P. A Course in Universal Algebra (1981), Springer, New York
5. Cerruti U., and Höhle U. An approach to uncertainty using algebras over a monoidal closed category. Rend. Circ. Mat. Palermo (2) Suppl. 12 (1986) 47-63
6. Chakraborty A.B., and Khare S.S. Fuzzy homomorphism and algebraic structures. Fuzzy Sets and Systems 59 (1993) 211-221
7. Chakraborty A.B., and Khare S.S. Fuzzy homomorphism and f-fuzzy subgroups generated by a fuzzy subset. Fuzzy Sets and Systems 74 (1995) 259-268
8. Choudhury F.P., Chakraborty A.B., and Khare S.S. A note on fuzzy subgroups and fuzzy homomorphism. J. Math. Anal. Appl. 131 (1988) 537-553
9. Ćirić M., Ignjatović J., and Bogdanović S. Fuzzy equivalence relations and their equivalence classes. Fuzzy Sets and Systems 158 (2007) 1295-1313
10. M. Ćirić, J. Ignjatović, S. Bogdanović, Uniform fuzzy relations and fuzzy functions, Fuzzy Sets and Systems, 2008, doi:10.1016/j.fss.2008.07.006.
11. De Baets B., and Mesiar R. T-partitions. Fuzzy Sets and Systems 97 (1998) 211-223
12. Demirci M. Fuzzy functions and their applications. J. Math. Anal. Appl. 252 (2000) 495-517
13. Demirci M. Fundamentals of M-vague algebra and M-vague arithmetic operations. Internat. J. Uncertainty, Fuzziness Knowledge 10 1 (2002) 25-75
14. Demirci M. On many-valued partitions and many valued equivalence relations. Internat. J. Uncertainty, Fuzziness Knowledge (2003) 235-253
15. Demirci M. Foundations of fuzzy functions and vague algebra based on many-valued equivalence relations, part I: fuzzy functions and their applications. Internat. J. Gen. Systems 32 2 (2003) 123-155
16. Demirci M. Foundations of fuzzy functions and vague algebra based on many-valued equivalence relations, part II: vague algebraic notions. Internat. J. Gen. Systems 32 2 (2003) 157-175
17. Demirci M. Foundations of fuzzy functions and vague algebra based on many-valued equivalence relations, part III: constructions of vague algebraic notions and vague arithmetic operations. Internat. J. Gen. Systems 32 2 (2003) 177-201
18. Demirci M. A theory of vague lattices based on many-valued equivalence relations-I: general representation results. Fuzzy Sets and Systems 151 (2005) 437-472
19. Demirci M. Errata to "Fuzzy group based fuzzy binary operation". Comput. Math. Appl. 49 (2005) 1951-1952
20. Di Nola A., and Gerla G. Lattice valued algebras. Stochastica 11 (1987) 137-150
21. Eilenberg S. Automata, Languages and Machines Vol. B (1976), Academic Press, New York
22. Fang J.X. Fuzzy homomorphism and fuzzy isomorphism. Fuzzy Sets and Systems 63 (1994) 237-242
23. Höhle U. Quotients with respect to similarity relations. Fuzzy Sets and Systems 27 (1988) 31-44
24. Höhle U. Commutative, residuated ℓ-monoids. In: Höhle U., and Klement E.P. (Eds). Non-Classical Logics and Their Applications to Fuzzy Subsets (1995), Kluwer Academic Publishers, Boston, Dordrecht 53-106
25. Höhle U. On the fundamentals of fuzzy set theory. J. Math. Anal. Appl. 201 (1996) 786-826
26. Ignjatović J., Ćirić M., and Bogdanović S. Determinization of fuzzy automata with membership values in complete residuated lattices. Inform. Sci. 178 (2008) 164-180
27. Klawonn F. Fuzzy points. In: Novâk V., and Perfilieva I. (Eds). Discovering World with Fuzzy Logic (2000), Physica, Heidelberg 431-453
28. Klawonn F., Gebhardt J., and Kruse R. Fuzzy control on the basis of equality relations-with an example from idle speed control. IEEE Trans. Fuzzy Systems 3 (1995) 336-350
29. Klawonn F., and Kruse R. Equality relations as a basis for fuzzy control. Fuzzy Sets and Systems 54 (1993) 147-156
30. F. Klawonn, R. Kruse, From fuzzy sets to indistinguishability and back, in: N. Steele (Ed.), Proc. First ICSC Internat. Symp. Fuzzy Logic, Zürich, Switzerland, 1995, ICSC Academic Press, Millet, 1995, pp. A57-A59.
31. F. Klawonn, R. Kruse, The inherent indistinguishability in fuzzy systems, in: W. Lenski (Ed.), Logic versus Approximation, Lecture Notes in Computer Science, Vol. 3075, Springer, Berlin, 2004, pp. 6-17.
32. Kuroki N. Fuzzy congruences on inverse semigroups. Fuzzy Sets and Systems 87 (1997) 335-340
33. Li S.Y., Chen D.G., Gu W.X., and Wang H. Fuzzy homomorphisms. Fuzzy Sets and Systems 79 (1996) 235-238
34. Li Y.M., and Pedrycz W. Fuzzy finite automata and fuzzy regular expressions with membership values in lattice ordered monoids. Fuzzy Sets and Systems 156 (2005) 68-92
35. Malik D.S., and Mordeson J.N. Fuzzy homomorphisms of rings. Fuzzy Sets and Systems 46 (1992) 139-146
36. Mordeson J.N., Bhutani K.R., and Rosenfeld A. Fuzzy Group Theory (2005), Springer, Berlin
37. Mordeson J.N., Malik D.S., and Kuroki N. Fuzzy Semigroups (2003), Springer, Berlin
38. Mordeson J.N., and Nair P.S. Fuzzy Mathematics (2001), Physica, Heidelberg
39. X. Fuzzy Sets and Systems 41 (1991) 101-111
40. Murali V. Fuzzy congruence relations. Fuzzy Sets and Systems 41 (1991) 359-369
41. Novák V. Fuzzy Sets and Their Applications (1989), Adam Hilger, Bristol
42. J.E. Pin, Relational morphisms, transductions and operations on languages, in: J.E. Pin (Ed.), Formal Properties of Finite Automata and Applications, Lecture Notes in Computer Science, Vol. 386, Springer, Berlin, 1989, pp. 120-137.
43. Pin J.E. Syntactic semigroups. In: Rozenberg G., and Salomaa A. (Eds). Handbook of Formal Languages Vol. 1 (1997), Springer, Berlin, Heidelberg 679-746
44. Rosenfeld A. Fuzzy groups. J. Math. Anal. Appl. 35 3 (1971) 512-517
45. Samhan M.A. Fuzzy quotient algebras and fuzzy factor congruences. Fuzzy Sets and Systems 73 (1991) 269-277
46. Šešelja B. Homomorphisms of poset-valued algebras. Fuzzy Sets and Systems 121 (2001) 333-340
47. Šešelja B., and Tepavčević A. On a generalization of fuzzy algebras and congruences. Fuzzy Sets and Systems 65 (1994) 85-94
48. Straubing H. Relational morphisms and operations on recognizable sets. RAIRO Inform. Theor. Appl. 15 (1981) 149-159
49. Yuan X., and Lee E.S. Fuzzy group based on fuzzy binary operation. Comput. Math. Appl. 47 (2004) 631-641