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http://dx.doi.org/10.5831/HMJ.2011.33.3.367

FUZZY TRANSLATIONS AND FUZZY MULTIPLICATIONS OF HYPER BCK-ALGEBRAS  

Kang, Min-Su (Department of Mathematics, Hanyang University)
Publication Information
Honam Mathematical Journal / v.33, no.3, 2011 , pp. 367-379 More about this Journal
Abstract
Fuzzy ${\alpha}$-translations, (normalized, maximal) fuzzy extensions and fuzzy multiplications of fuzzy hyper BCK-subalgebras in hyper BCK-algebras are discussed. Relations among fuzzy ${\alpha}$ translations, (normalized, maximal) fuzzy extensions and fuzzy multiplications are investigated.
Keywords
fuzzy ${\alpha}$-translation; fuzzy hyper BCK-subalgebra; fuzzy extension; fuzzy S-extension; fuzzy ${\gamma}$-multiplication;
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  • Reference
1 F. Marty, Sur une generalization de la notion de groupe, 8th Congress Math. Scandinaves, Stockholm (1934), 45-49.
2 L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338-353.   DOI
3 H. -J. Zimmermann, Fuzzy Set Theory and its Applications, Kluwer-Nijhoff Publishing, 1985.
4 D. Dubois and H. Prade, Fuzzy sets and systems: Theory and Applications, Academic Press, 1980.
5 Y. B. Jun and X. L. Xin, Fuzzy hyper BCK-ideals of hyper BCK-algebras, Sci. Math. Jpn. 53 (2) (2001), 353-360.
6 H. Harizavi, Prime weak hyper BCK-ideals of lower hyper BCK-semilattice, Sci. Math. Jpn. 68 (2008), no. 3, 353-360.
7 Y. B. Jun and W. H. Shim, Fuzzy implicative hyper BCK-ideals of hyper BCK-algebras, Internat. J. Math. Math. Sci. 29 (2002), no. 2, 63-70.   DOI   ScienceOn
8 Y. B. Jun and X. L. Xin, Scalar elements and hyperatoms of hyper BCK-algebras, Scientiae Mathematicae 2 (1999), no. 3, 303-309.
9 Y. B. Jun, X. L. Xin, E. H. Roh and M. M. Zahedi, Strong hyper BCK-ideals of hyper BCK-algebras, Math. Japonica 51 (3) (2000), 493-498.
10 Y. B. Jun, M. M. Zahedi, X. L. Xin and R. A. Borzooei, On hyper BCK-algebras, Italian J. of Pure and Appl. Math. 8 (2000), 127-136.