Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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Ω-INTERVAL-VALUED FUZZY SUBSEMIGROUPS IN A SEMIGROUP

  • Lee, Jeong Gon (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University) ;
  • Hur, Kul (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University) ;
  • Lim, Pyung Ki (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University)
  • Received : 2014.11.07
  • Accepted : 2014.12.11
  • Published : 2015.03.25
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Abstract

By using a set ${\Omega}$, we introduce the concept of ${\Omega}$-fuzzy subsemigroups and study some of it's properties. Also, we show that the homomorphic images and preimages of ${\Omega}$-fuzzy subsemigroups become ${\Omega}$-fuzzy subsemigroups.

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References

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