Generalized fuzzy Polygroups

Iranian Journal of Fuzzy Systems

Volumn 3, Issue 1, 2006, Pages 59-75

  Davvaz, B ^a   Corsini, P ^b  

^a YAZD UNIVERSITY   (Iran)

^b UNIVERSITY OF UDINE   (Italy)

Author keywords

( , Vq) fuzzy subpolygroup; Fuzzy logic; Implication operator; Polygroups fuzzy set

Indexed keywords

EID: 44949264148     PISSN: 17350654     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (51)

1. Ajmal and K. V. Thomas, .4 complete study of the lattice of fuzzy congruence and fuzzy normal subgroups, Information Sciences, 82 (1995), 197-218.
2. R. Ameri and M, M. Zahedi, Hyperalgebraic systems, Italian J. Pure Appl. Math., 6 (1999), 21-32.
3. J M. Anthony and H. Sherwood, Fuzzy groups redefined, J. Math. Anal. Appl., 69 (1979), 124-130
4. S. K. Bhakat, (ε, ε Vq)-fuzzy normal, quasinormal and maximal subgroups, Fuzzy Sets and Systems, 112 (2000), 299-312.
5. S. K. Bhakat, (ε Vq)-level subsets, Fuzzy Sets and Systems, 103 (1999), 529-533.
6. S. K. Bha.ka.t and P. Das, On the definition of a fuzzy subgroup, Fuzzy Sets and Systems, 51 (1992), 235-241.
7. S. K. Bhakat and P. Das, (ε, ε Vq)-fuzzy subgroup, Fuzzy Sets and Systems, 80 (1996), 359-368.
8. S. K. Bhakat and P. Das, Fuzzy subrings and ideals redefined,, Fuzzy Sets and Systems, 81 (1996), 383-393.
9. P. Bhattacharya, Fuzzy subgroups: Some characterizations. II, Information Sciences, 38 (1986), 293-297.
10. P. Bonansinga and P. Corsini, Sugli omomorfismi di semi-ipergruppi e di ipergruppi, B.U.M.I., 1-B, 1982.
11. S. D. Comer, Polygroups derived from cogroups, J. Algebra, 89 (1984), 397-405.
12. S. D. Comer, Combinatorial aspects of relations, Algebra Universalis, 18 (1984), 77-94.
13. S. D. Comer, Extension of polygroups by polygroups and their representations using colour schemes, Lecture notes in Meth., No 1004, Universal Algebra and Lattice Theory, (1982), 91-103.
14. S. D. Comer, A new fundation for theory of relations, Notre Dame J. Formal Logic, 24 (1983), 81-87.
15. S. D. Comer, Hyperstructures associated with character algebra and color schemes, New Frontiers in Hyperstructures, Hadronic Press, (1996), 49-66.
16. P. Corsini, Prolegomena of hypergroup theory, Second Edition, Aviani Editor, 1993.
17. P. Corsini, A new connection between hypergroups and fuzzy sets, Southeast Asian Bull. Math., 27 (2)(2003), 221-229.
18. P. Corsini, Join spaces, power sets, fuzzy sets, Proceedings of the fifth Int. Congress on Algebraic Hyperstructures, Jasi, Romania, July 4-10, 1993, Hadronic Press, Inc., Palm Harbor, 1994.
19. P. Corsini and V. Leoreanu, Applications of hyperstructures theory, Advanced in Mathematics, Kluwer Academic Publishers, 2003.
20. P. Corsini and V. Leoreanu, Fuzzy sets and join spaces associated with rough sets, Rend. Circ. Mat., Palarmo 51 (2002), 527-536.
21. P. Corsini and I. Tofan, On fuzzy hypergroups, Pure Math. Appl., 8 (1997), 29-37.
22. P. S. Das, Fuzzy groups and level subgroups, J. Math. Anal. Appl., 85 (1981), 264-269.
23. B. Davvaz, Fuzzy and anti fuzzy subhypergroups, Proc. International Conference on Intelligent and Cognitive Systems, (1996), 140-144.
24. v-groups, Fuzzy Sets and Systems, 101 (1999), 191-195.
25. v-submodules, Fuzzy Sets and Systems, 117 (2001), 477-484.
26. B. Davvaz and N. S. Poursalavati,On polygroup hyperrings and representations of polygroups, J. Korean Math. Soc, 36 (6)(1999), 1021-1031.
27. B. Davvaz, On polygroups and weak polygroups, Southeast Asian Bull. Math., 25 (2001), 87-95.
28. B. Davvaz, Elementary topics on weak polygroups, Bull. Korean Math. Soc, 40 (1) (2003), 1-8.
29. th International Congress on Algebraic Hyperstructures and Applications, 1-9 Sep., 2002, Samothraki, Greece, Spanidis Press, (2003), 127-135.
30. B. Davvaz, Polygroups with hyperoperators, J. Fuzzy Math., 9 (4) (2001), 815-823.
31. B. Davvaz, TL-subpolygroups of a polygroup, Pure Math. Appl., 12 (2) (2001), 137-145.
32. B. Davvaz, On polygroups and permutation polygroups, Math. Balkanica (N.S.) 14 (1-2) (2000), 41-58.
33. A. Hasankhani and M. M. Zahedi, F-polygroups and fuzzy sub-F-polygroups, J. Fuzzy Math. 6 (1) (1998), 97-110.
34. S. Ioulidis, Polygroups et certains de leurs properietes, Bull. Greek Math. Soc, 22 (1981), 95-104.
35. Ath. Kehagias, L-fuzzy join and meet hyperoperations and the associated L-fuzzy hyperalgebras, Rend. Circ. Mat., Palermo, 51 (2002), 503-526.
36. Ath. Kehagias, An example of L-fuzzy join space, Rend. Circ. Mat., Palermo, 52 (2003), 322-350.
37. Leoreanu, Direct limit and inverse limit of join spaces associated with fuzzy sets, Pure Math. Appl., 11 (2002), 509-512.
38. th Congress Math. Scandenaves, Stockholm, (1934), 45-49.
39. J. Mittas, Hypergroupes canoniques. Math. Balkanica, Beograd, 2 (1972), 165-179.
40. W. Prenowitz, Projective geometries as multigroups, Amer. J. Math., 65 (1943), 235-256.
41. A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl., 35 (1971), 512-517.
42. R. Roth, Character and conjugacy class hypergroups of a finite group, Annali di Matematica Pura ed Appl., 105 (1975), 295-311.
43. I. Tofan and A. Volf, On some connections betyween hyperstructures and, fuzzy sets, International Algebra Conference (Iaşi, 1998) Ital. J. Pure Appl. Math., 7 (2000), 63-68.
44. T. Vougiouklis, Hyperstructures and their representations, Hadronic Press, Inc, 115, Palm Harber, USA 1994.
45. M. S. Ying, On standard models of fuzzy modal logics, Fuzzy Sets and Systems, 26 (1988) 357-363.
46. X. Yuan, C. Zhang and Y. Ren, Generalized fuzzy groups and many-valued implications, Fuzzy Sets and Systems, 138 (2003), 205-211.
47. L. A. Zadeh, Fuzzy sets, Inform. Control, 8 (1965), 338-353.
48. M. M. Zahedi, M. Bolurian and A. Hasankhani, On polygroups and fuzzy subpolygroups, J. Fuzzy Math., 3 (1995), 1-15.
49. M. M. Zahedi and A. Hasankhani, F-polygroups I, J. Fuzzy Math., 4 (3) (1996), 533-548.
50. M. M. Zahedi and A. Hasankhani, F-polygroups II, Information Sciences, 89 (3-4)(1996), 225-243.
51. M. M. Zahedi, H. Kouchi and H. Moradi, (Anti)-fuzzy (normal) sub-F-polygroups and fuzzy α-coset, J. Discrete Math. Sci. Cryptography, 5 (1) (2002), 85-104.