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SOME RESULTS ON FUZZY IDEAL EXTENSIONS OF BCK-ALGEBRAS

정원균
영남수학회 (Youngnam Mathematical Society)|2010.05|East Asian Mathematical Journal|제26권 제3호|pp. 379-387

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참고문헌

키워드

BCK-algebrafuzzy characteristic idealintuitionistic fuzzy ideal
주제분류수학

초록

In this paper, we prove that the extension ideal of a fuzzy characteristic ideal of a positive implicative BCK-algebra is a fuzzy characteristic ideal. We introduce the notion of the extension of intuitionistic fuzzy ideal of BCK-algebras and some properties of fuzzy intuitionistic ideal extensions of BCK-algebra are investigated.

Abstract

In this paper, we prove that the extension ideal of a fuzzy characteristic ideal of a positive implicative BCK-algebra is a fuzzy characteristic ideal. We introduce the notion of the extension of intuitionistic fuzzy ideal of BCK-algebras and some properties of fuzzy intuitionistic ideal extensions of BCK-algebra are investigated.

참고문헌 (14)

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  7. Y. B. Jun, "Intuitionistic fuzzy ideals of BCK-algebras", Internat. J. Math & Math. Sci., 24, pp.839~849 (2000)
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  10. T. Sakuragi, "On fuzzy quasi-ideals and their radicals in a commutative BCK-algebra", Math. Japon, 46, pp.485~490 (1997)
  11. T. Sakuragi, "On prime fuzzy quasi-ideals and primary fuzzy quasi-ideals, in a commu-tative BCK-algebra", Math. Japon, 48, pp.437~445 (1997)
  12. O. G. Xi, "Fuzzy BCK-algebras", Math. Japon, 36, pp.935~942 (1991)
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관련 논문AI추천

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