Fuzzy hyperalgebras and direct product

Authors

  • R. Ameri School of mathematics, statistics and computer sciences, College of sciences, University of Tehran, Tehran, Iran
  • T. Nozari Departement of mathematics, Faculty of science, Golestan university, Gorgan, Iran

Keywords:

Key words, Fuzzy hyperalgebras, Term function, Direct product.

Abstract

We introduce and study the direct product of a family of fuzzy hyperalgebras of the same type and present some properties of it.

 

References

P. Corsini, Prolegomena of Hypergroup Theory, Second edition, Aviani editor (1993).

P. Corsini and I. Tofan, On Fuzzy Hypergroups, PU.M.A, 8 (1997), 29-37.

G. Gratzer, Universal algebra, 2nd edition, Springer Verlage, 1970.

J. N. Mordeson,M.S. Malik, Fuzzy Commutative Algebra, Word Publ. 1998.

C. Pelea, On the direct product of multialgebras, Studia uni, Babes-bolya, Mathematica, vol. XLVIII (2003), 93-98.

C. Pelea, Multialgebras and term functions over the algebra of their non-void subsets, Mathematica (Cluj), 43 (2001), 143-149.

M.K. Sen, R.Ameri, G. Chowdhury, Fuzzy hypersemigroups, Soft Com-puting, Soft Comput, 12 (2008), 891-900.

T. Vougiuklis, Hyperstructures and their representations, Hardonic Press (1994).

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Published

2013-06-06

Issue

Vol. 24 (2013)

Section

Volume 24-2013

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