International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Fuzzy ideals of subtraction algebras

  • Kim, Young-Hee (Department of Mathematics, Chungbuk National University) ;
  • Oh, Kyong-Ah (Department of Mathematics, Chungbuk National University) ;
  • Roh, Eun-Hawan (Department of Mathematics Education, Chinju National University of Education)
  • Published : 2007.06.01
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Abstract

The notion of ideals in subtraction algebras and characterizations of ideals introduced by Y.B.Jun et al. [?]. Using this idea, we consider the fuzzification of an ideal of a subtraction algebra. In this paper, we define the concept of a fuzzy ideal of a subtraction algebra and study characterizations of a fuzzy ideal. We give some conditions to show that a fuzzy set in a subtraction algebra is a fuzzy ideal of a subtraction algebra. We investigate the generalization of some properties of a fuzzy ideal of a subtraction algebra.

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References

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