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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.14 No.3

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EXISTENCE OF FUZZY IDEALS WITH ADDITIONAL CONDITIONS IN BCK/BCI-ALGEBRAS

Existence of Fuzzy Ideals with Additional Conditions in BCK/BCI-algebras

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2007, v.14 no.3, pp.223-230
Jun, Young-Bae (DEPARTMENT OF MATHEMATICS EDUCATION (AND RINS), GYEONGSANG NATIONAL UNIVERSITY)
Park, Chul-Hwan (DEPARTMENT OF MATHEMATICS, UNIVERSITY OF ULSAN)
Jun, Young-Bae, & Park, Chul-Hwan. (2007). EXISTENCE OF FUZZY IDEALS WITH ADDITIONAL CONDITIONS IN BCK/BCI-ALGEBRAS, 14(3), 223-230.

Abstract

We give an answer to the following question: Question. Let S be a subset of [0,1] containing a maximal element m > 0 and let C :=$\{I_{t}\;{\mid}\;t{\in}S\}$ be a decreasing chain of ideals of a BCK/BCI-algebra X. Then does there exists a fuzzy ideal ${\mu}(X)=S\;and\;C_{\mu}=C?$.

keywords
(anti) isotone map, (fuzzy) ideal

한국수학교육학회지시리즈B:순수및응용수학

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