Abstract
In this paper first by considering the notions of hyperalgebraic structures such as hypergroups, polygroups, hyperrings, …, we define the notion of (sub) hyperalgebraic systems in general, also we define the notions of T-fuzzy (weak) hyperalgebraic systems, which are the generalization of fuzzy hyperalgebraic structures. Then we give some related basic results .
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Ameri, R., Zahedi, M.M.: Hypergroup and join spaces induced by a fuzzy subset, PU.M.A,Vol.8 (19997) 155–168.
Ameri, R., Zahedi, M.M.: Fuzzy subhypermodules over fuzzy hyperrings, Sixth International Congress on AHA, Democritus Univ., (1996), 1–14.
Ameri R., Zahedi, M.M: Hyperalgebraic Systems, Italian Journal of Pure and Applied Mathematics, No. 6 (1999), 21–32.
Burrs, S., Sankapponavar, H.P: A Course in Universal Algebra, Springer-Verlag (1981).
Bhattacharya, P., Mukherjee, N.P, Fuzzy relations and fuzzy groups, Inform. Sci., 36 (1985), 267–282.
Comer, D.S.: Polygroups derived from cogorups,Journal of Algebra,Vol.89, (1984) 397–405.
Corsini, P.: Prolegomena of Hypergroup Theory, Aviani Editor, (1993).
Das, P.S: Fuzzy groups and level subgroups, J. Math. Anal. Appl., 84 (1981), 264–269.
Klement, P.E, Mesier R.: Triangular Norms,Tatra Mountains Math.Publ. 13(1997)169–193.
Marty, F.: Sur une généralization de la notion de groupe, Huitieme congress de Mathematiciens, Scandinaves, Stockholm, (1934), 45–49.
Rosenfeld, A.: Fuzzy groups, J. Math. Anal. Appl. 35 (1971), 512–517.
Tu, Lu., Wen-Xiang Gu: Fuzzy algebraic systems (I): Direct products, Fuzzy Sets and Systems 61(1994), 313–327.
Wall, H.S.: Hypergroups, Amer. J. Math., (1937), 77–98.
Zadeh, L.A.: Fuzzy Sets, Inform. and Control, 8 (1965), 338–353.
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Ameri, R., Zahedi, M.M. (2002). T-Fuzzy Hyperalgebraic Systems. In: Pal, N.R., Sugeno, M. (eds) Advances in Soft Computing — AFSS 2002. AFSS 2002. Lecture Notes in Computer Science(), vol 2275. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45631-7_70
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DOI: https://doi.org/10.1007/3-540-45631-7_70
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