On an algebra of fuzzy m-ary semihypergroups
Abstract
Full Text:
PDFReferences
P. Corsini, V. Leoreanu, Applications of hyperstructure theory, Advances in Mathematics 5, Kluwer Academic Publishers, Dordrecht, 2003.
B. Davvaz, I. Cristea, Fuzzy algebraic hyperstructures. An introduction, Studies in Fuzziness and Soft Computing 321, Springer, 2015.
B. Davvaz, Semihypergroup theory, Elsevier Academic Press, Amsterdam, 2016.
B. Davvaz, W.A. Dudek, T. Vougiouklis, A Generalization of n-ary algebraic systems, Commun. Algebra 37 (2009), 1248-1263.
B. Davvaz, W.A. Dudek, S. Mirvakili, Neutral elements, fundamental relations and n-ary hypersemigroups, Int. J. Algebra Comput. 19 (2009), no. 4, 567-583.
B. Davvaz, T. Vougiouklis, n-Ary hypergroups, Iran. J. Sci. Technol., Trans. A, Sci. 30 (A2) (2006), 165-174.
W.A. Dudek, On (i; j)-associative operations with non-empty center, Ricerche di Matematica 35 (1986), 105-111.
W.A. Dudek, Idempotents in n-ary semigroups, Southest Asian Math. Bull. Math. 25 (2001), 97-104.
W.A. Dudek, I. Gro_zdzi_nska, On ideals in regular n-semigroups, Mat. Bilten 29(30) (1979/80), no. 3-4, 35-44.
M. Ghadiri, B.N. Waphare, B. Davvaz, n-ary Hv-structures, Southeast Asian Bull. Math. 34 (2010), 243-255.
K. Hila, B. Davvaz, K. Naka and J. Dine, Regularity in terms of Hyperideals, Chin. J. Math. 2013 (2013), Article ID 167037.
N. Kuroki, Fuzzy bi-ideals in Semigroups, Comment. Math. Univ. St. Paul. 28 (1979), 17-21.
V. Leoreanu-Fotea, B. Davvaz, n-hypergroups and binary relations, Eur. J. Comb. 29 (2008), no. 5, 1207-1218.
V. Leoreanu-Fotea, A new type of fuzzy n-ary hyperstructures, Inf. Sci. 179 (2009), 2710-2718.
F. Marty, Sur une generalization de la notion de group, 8th Congres Math. Scandinaves, Stockholm, (1934), 45-49.
J.N. Mordeson, D.S. Malik, N. Kuroki, Fuzzy semigroups, Studies in Fuzziness and Soft Computing 131, Springer, Berlin, 2003.
J.N. Mordeson, K.R. Bhutani, A. Rosenfeld, Fuzzy group theory, Studies in Fuzziness and Soft Computing 182, Springer, Berlin, 2005.
S. Ostadhadi-Dehkordi, Semigroup derived from (Γ;N)-semihypergroups and T-functor, Discuss. Math., Gen. Algebra Appl. 35 (2015), 79-95.
H.A. Thurston, Partially associative operations, J. London Math. Soc. 24 (1949), 260-271.
A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35 (1971), 512-517.
F.M. Sioson, On regular algebraic systems, Proc. Japan. Acad. 39 (1963), 283-286.
L.A. Zadeh, Fuzzy sets, Inform. Control, 8 (1965), no. 3, 338-353.
DOI: https://doi.org/10.52846/ami.v52i1.1978