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http://dx.doi.org/10.5831/HMJ.2011.33.4.603

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)
Publication Information
Honam Mathematical Journal / v.33, no.4, 2011 , pp. 603-616 More about this Journal
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.
Keywords
interval-valued fuzzy set; interval-valued fuzzy ideal; interval-valued fuzzy bi-ideal; interval-valued fuzzy generalized bi-ideal;
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Times Cited By KSCI : 4  (Citation Analysis)
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