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http://dx.doi.org/10.5391/IJFIS.2011.11.4.259

Interval-valued Fuzzy Ideals and Bi-ideals of a Semigroup  

Cheong, Min-Seok (Department of Mathematices, Sogang University)
Hur, Kul (Division of Mathematics and Informational Statistics and Nanoscale Science and Technology Institute, Wonkwang University)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.11, no.4, 2011 , pp. 259-266 More about this Journal
Abstract
We apply the concept of interval-valued fuzzy sets to theory of semigroups. We give some properties of interval-valued fuzzy ideals and interval-valued fuzzy bi-ideals, and characterize which is left [right] simple, left [right] duo and a semilattice of left [right] simple semigroups or another type of semigroups in terms of interval-valued fuzzy ideals and intervalvalued fuzzy bi-ideals.
Keywords
interval-valued fuzzy set; interval-valued fuzzy semigroup; interval-valued fuzzy ideal; interval-valued fuzzy bi-ideal; interval-valued fuzzy duo;
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Times Cited By KSCI : 3  (Citation Analysis)
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