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INTUITIONISTIC FUZZINESS OF IMPLICATIVE IDEALS IN BCK-ALGEBRAS
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  • Journal title : Honam Mathematical Journal
  • Volume 29, Issue 3,  2007, pp.377-402
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2007.29.3.377
 Title & Authors
INTUITIONISTIC FUZZINESS OF IMPLICATIVE IDEALS IN BCK-ALGEBRAS
Jun, Young-Bae; Park, Chul-Hwan; Roh, Eun-Hwan;
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 Abstract
After the introduction of fuzzy sets by Zadeh, there have been a number of generalizations of this fundamental concept. The notion of intuitionistic fuzzy sets introduced by Aranassov is one among them. In this paper, we apply the concept of an intuitionistic fuzzy set to implicative ideals in BCK-algebras. The notion of an intuitionistic fuzzy implicative ideal of a BCK-algebra is introduced, and some related properties are investigated. An extension property for intuitionistic fuzzy implicative ideals is established. Characterizations of an intuitionistic fuzzy implicative ideal are given. Conditions for an intuitionistic fuzzy ideal to be an intuitionistic fuzzy implicative ideal are given. Using a collection of implicative ideals, intuitionistic fuzzy implicative ideals are established.
 Keywords
(Implicative) ideal;intuitionistic fuzzy (implicative) ideal;
 Language
English
 Cited by
 References
1.
K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87-96. crossref(new window)

2.
K. T. Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems 61 (1994), 137-142. crossref(new window)

3.
K. T. Atanassov, Intuitionistic fuzzy sets. Theory and applications, Studies in Fuzziness and Soft Computing, 35. Heidelberg; Physica-Verlag 1999.

4.
D. W. Borns, J. M. Mack, An Algebraic Introduction to Mathematical Logic, Springer, Berlin, 1975.

5.
B. Davvaz, W. A. Dudek and Y. B. Jun, Intuitionistic fuzzy $H_v-submodules,$ Inform. Sci. 176 (2006), 285-300. crossref(new window)

6.
E. Coskun, Systems on intuitionistic fuzzy special sets and intuitionistic fuzzy special measures, Inform. Sci. 128 (2000), 105-118. crossref(new window)

7.
Y. B. Jun and K. H. Kim, Intuitionistic fuzzy ideals of BCK -algebras, Internat. J. Math. & Math. Sci. 24(12) (2000), 839-849. crossref(new window)

8.
L. A. Zadeh, Fuzzy sets, Inform. and Control 8 (1965), 338-353. crossref(new window)

9.
L. A. Zadeh, Toward a generalized theory of uncertainty (GTU) - an outline, Inform. Sci. 172 (2005) 1-40. crossref(new window)