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

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Abstract

We give an answer to the following question:Question.LetS be a subset of [0;1] containing a maximal element m > 0 and letC := fIt j t 2 Sg be a decreasing chain of ideals of a BCK/BCI-algebraX: Thendoes there exists a fuzzy ideal ofX such that (X ) = S and C = C ?

참고문헌 (8)

  1. "Fuzzy sub-implicative ideals of BCI-algebras", 39(2), pp.185~198 (2002)
  2. "Characterizations of Noetherian BCK-algerbas via fuzzy ideals", 108, pp.231~234 (1999)
  3. "Fuzzy commutative ideals in BCI-algebras" (1994)
  4. "Fuzzy set theory applied to implicative ideals in BCK-algebras", 43(3), pp.461~470 (2006)
  5. "Fuzzy commutative ideals of BCK-algerbas" (1994)
  6. "Involutory and invertible fuzzy BCK-algerbas", 117, pp.463~469 (2004)
  7. "BCK-algebras" (1994), Kyungmoonsa Co. Seoul
  8. "Fuzzy implicative ideals of BCK-algebras", 89, pp.243~248 (1997)

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