International Journal of Fuzzy Logic and Intelligent Systems

  • 제12권3호
  • /
  • Pages.215-225
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  • 2012
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  • 1598-2645(pISSN)
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  • 2093-744X(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
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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)
  • 투고 : 2011.12.25
  • 심사 : 2012.06.29
  • 발행 : 2012.09.25
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초록

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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참고문헌

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