논문KCI 등재
Bipolar fuzzy ideals of subtraction algebras
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The notion of (escalated) bipolar fuzzy ideals of a subtraction algebra is introduced, and several properties are investigated. Characterizations of a bipolar fuzzy ideal are stated. A method to make an escalated bipolar fuzzy ideal of a bipolar fuzzy set f = (X; f_n, f_p) is provided.
Abstract
The notion of (escalated) bipolar fuzzy ideals of a subtraction algebra is introduced, and several properties are investigated. Characterizations of a bipolar fuzzy ideal are stated. A method to make an escalated bipolar fuzzy ideal of a bipolar fuzzy set f = (X; f_n, f_p) is provided.
참고문헌 (12)
- Abbott, J.C, "Sets, Lattices and Boolean Algebras" (1969), Allyn and Bacon
- Dubois, D, "Fuzzy sets and systems,In Theory and Applications" (1980), Academic Press
- Jun, Y.B., "On ideals in subtraction algebras", Sci. Math. Jpn, 65, pp.129~134 (2007)
- Jun, Y.B, "Ideal theory of subtraction algebras", Sci. Math. Jpn, 61, pp.459~464 (2005)
- Young Bae Jun, "N-IDEALS OF BCK", BCI-ALGERBAS, 2009, pp.22(3), 417~437[DOI]
- 전영배, "Order systems, ideals and right fixed maps of subtraction algebras", 대한수학회논문집, 23(1), pp.1~10 (2008), 대한수학회
- Lee, K.J, "Bipolar fuzzy subalgebras and bipolar fuzzy ideals of BCK", BCI-algebras, 2009, pp.32, 361~373
- Lee, K.M, "Bipolar-valued fuzzy sets and their operations", Int. Conf. on Intelli- gent Technologies, pp.307~312 (2000)
- 이건명, "구간값 퍼지집합, Intuitionistic 퍼지집합, Bipolar-valued 퍼지집합의 비교", 한국지능시스템학회 논문지, 14(2), pp.125~129 (2004), 한국지능시스템학회
- Schein, B.M, "Difference Semigroups", Comm. in Algebra, 20, pp.2153~2169 (1992)
- Zelinka,B, "Subtraction Semigroups", Math. Bohemica, 120, pp.445~447 (1995)
- Zimmermann, H.J, "Fuzzy Set Theory and its Applications" (1985), Kluwer Nijhoff Publishing
관련 논문AI추천
Bipolar fuzzy a-ideals of BCI-algebras이경자, 전영배대한수학회 · 대한수학회논문집2011 · 제26권 제4호Bipolar fuzzy hyper MV-deductive systems of hyper MV-algebras강민수대한수학회 · 대한수학회논문집2011 · 제26권 제2호Subalgebras and Ideals of BCK/BCI-Algebras in the Framework of the Hesitant IntersectionYOUNG BAE JUN경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제2호Crossing intuitionistic KU-ideals on KU-algebras as an extension of bipolar fuzzy sets허걸, Ehab f.Adb-elfattah, Mostafa A. Hassan, Samy M. Mostafa, Young Bae Jun기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2021 · 제22권 제3호N-IDEALS OF SUBTRACTION ALGEBRAS소금숙, 전영배, Jacob Kavikumar대한수학회 · 대한수학회논문집2010 · 제25권 제2호Generalized fuzzy sets in UP-algebrasAiyared Iampan, Akekarin Kesorn, Noppharat Dokkhamdang기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2018 · 제16권 제2호
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