FUZZY IMPLICATIVE IDEALS IN BCK-ALGEBRAS

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Published: Jun 1, 1996
DOI: https://doi.org/10.5556/j.tkjm.26.1995.4385
Keywords:
Implicative ideal fuzzy implicative ideal level implicative ideal

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Y. B. JUN
Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea.
S. M. HONG
Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea.
E. H. ROH
Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea.

Abstract




An implicative ideal of a BCK-algebra is defined by lseki [1]. In 1991, Xi [7] defined a fuzzy implicative ideal of a BCK-algebra. In this paper, we investigate the properties of fuzzy implicative ideals in BCK-algebras.




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How to Cite
JUN, Y. B., HONG, S. M., & ROH, E. H. (1996). FUZZY IMPLICATIVE IDEALS IN BCK-ALGEBRAS. Tamkang Journal of Mathematics, 26(2), 119–124. https://doi.org/10.5556/j.tkjm.26.1995.4385
Issue
Vol. 26 No. 2 (1995)
Section
Papers
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References

K. Iseki, "On ideals in BCK-algebras," Math. Seminar Notes (Presently, Kobe J. Math), 3 (1975), 1- 1 2 .

K. Iseki and S. Tanaka, "Ideal theory of BCK-algebras," Math. Japon., 21 (1976), 351-366.

Y. B. Jun, "Characterizations of fuzzy ideals by their level ideals in BCK(ECI)-algebras," Math. Japon., 38 (1993), 67-71.

Y. B. Jun, S. M. Hong, J. Meng and X. L. Xin, "Characterizations of fuzzy positive implicative ideals in BCK-algebras," Math. Japon., 40 (1994), 503-507.

J. Meng, "Ideals in ECK-algebras (Chinese)," Pure and Appl. Math., 2 (1986), 68-76. [6] A. Rosenfeld, "Fuzzy groups," J. Math. Anal. Appl., 35 (1971), 512-517.

0 . G. Xi, "Fuzzy BCK-algebras," Math. Japon., 36 (1991), 935-942.

L. A. Zadeh, "Fuzzy sets," Inform. Control, 8 (1965), 338-353.

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