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http://dx.doi.org/10.5391/IJFIS.2012.12.3.215

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)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.12, no.3, 2012 , pp. 215-225 More about this Journal
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.
Keywords
interval-valued fuzzy set; interval-valued fuzzy left(right) ideal; interval-valued fuzzy bi-ideal; interval-valued fuzzy quasi-ideal; regular semigroup; intraregular semigroup;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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