Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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INTERVAL-VALUED FUZZY GENERALIZED BI-IDEALS OF A SEMIGROUP

  • Lee, Keon-Chang (Department of Computer Science, Dongshin University) ;
  • Kang, Hee-Won (Department of Mathematics Education, Woosuk University) ;
  • Hur, Kul (Division of Mathematics and Informational Statistics and Nanoscale Science and Technology Institute, Wonkwang University)
  • Received : 2011.10.11
  • Accepted : 2011.10.26
  • Published : 2011.12.25
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Abstract

We introduce the concept of an interval-valued fuzzy generalized bi-ideal of a semigroup, which is an extension of the concept of an interval-valued fuzzy bi-ideal (and of a noninterval-valued fuzzy bi-ideal and a noninterval-valued fuzzy ideal of a semi-group), and characterize regular semigroups, and both intraregular and left quasiregular semigroup in terms of interval-valued fuzzy generalized bi-ideals.

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