International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Interval-valued Fuzzy Quasi-ideals in a Semigroups

  • Kim, Sang-Mok (Division of General Education - Mathematics, Kwangwoon University) ;
  • Hur, Kul (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University) ;
  • Cheong, Min-Seok (GyeongGi Science High School for the gifted) ;
  • Chae, Gab-Byung (Division of Mathematics and Informational Statistics, and Institute of Natural Basic Sciences, Wonkwang University)
  • Received : 2011.12.25
  • Accepted : 2012.06.29
  • Published : 2012.09.25
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Abstract

We initiate the study of interval-valued fuzzy quasi-ideal of a semigroup. In Section 2, we list some basic definitions in the later sections. In Section 3, we investigate interval-valued fuzzy subsemigroups and in Section 4, we define interval-valued fuzzy quasi-ideals and establish some of their basic properties. In Section 5, we obtain characterizations of regular and intraregular semigroups using the machinery developed in the preceding sections.

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References

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