논문KCI 등재
FALLING FUZZY COMMUTATIVE IDEALS OF BCK-ALGEBRAS
한국수학교육학회|2011.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제18권 제1호|pp. 41-50
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Based on the theory of falling shadows and fuzzy sets, the notion of a falling fuzzy commutative ideal of a BCK-algebra is introduced. Relations between falling fuzzy commutative ideals and falling fuzzy ideals are investigated.
Abstract
Based on the theory of falling shadows and fuzzy sets, the notion of a falling fuzzy commutative ideal of a BCK-algebra is introduced. Relations between falling fuzzy commutative ideals and falling fuzzy ideals are investigated.
참고문헌 (9)
- I.R. Goodman, "Fuzzy sets as equivalence classes of random sets, in Recent Developments in Fuzzy Sets and Possibility Theory" (1982), Pergamon
- K. Iseki, "An introduction to the theory of BCK-algebras", Math. Jpn, 23, pp.1~26 (1978)
- BCI- algebras, "Falling shadows applied to subalgebras and ideals of BCK", Y.B. Jun
- Y.B. Jun, "Fuzzy commutative ideals of BCK-algebras", Fuzzy Sets and Systems, 64, pp.401~405 (1994)
- J. Meng, "BCK-algebras" (1994), Kyungmoon Sa Co
- S.K. Tan, "Fuzzy set operations based on the theory of falling shadows", J. Math. Anal. Appl, 174, pp.242~255 (1993)
- S.K. Tan, "Fuzzy inference relation based on the theory of falling shadows", Fuzzy Sets and Systems, 53, pp.179~188 (1993)
- P.Z.Wang, "Fuzzy Sets and Falling Shadows of Random Sets" (1985), Beijing Normal Univ. Press
- P.Z. Wang, "Treating a fuzzy subset as a projectable random set, in Fuzzy Information and Decision", pp.212~219 (1982), Pergamon
관련 논문AI추천
Neutrosophic falling shadows applied to subalgebras and ideals in $BCK/BCI$-algebras전영배, Florentin Smarandache, Hashem Bordbar기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2018 · 제15권 제3호FALLING SUBALGEBRAS AND IDEALS IN BH-ALGEBRAS김은미, 안선신한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제3호Vague BCK/BCI-algebras방금성, 소금숙, 이경자한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제3호Positive implicative vague ideals in BCK-algebrasKyoung Ja Lee, Young Bae Jun기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2011 · 제1권 제1호Subalgebras and Ideals of BCK/BCI-Algebras in the Framework of the Hesitant IntersectionYOUNG BAE JUN경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제2호SOME RESULTS ON FUZZY IDEAL EXTENSIONS OF BCK-ALGEBRAS정원균영남수학회 · East Asian Mathematical Journal2010 · 제26권 제3호
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