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http://dx.doi.org/10.5831/HMJ.2013.35.4.565

INTERVAL-VALUED FUZZY SUBGROUPS  

Lee, Jeong Gon (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University)
Hur, Kul (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University)
Lim, Pyung Ki (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University)
Publication Information
Honam Mathematical Journal / v.35, no.4, 2013 , pp. 565-582 More about this Journal
Abstract
We study the conditions under which a given interval-valued fuzzy subgroup of a given group can or can not be realized as a union of two interval-valued fuzzy proper subgroups. Moreover, we provide a simple necessary and su cient condition for the unio of an arbitrary family of interval-valued fuzzy subgroups to be an interval-valued fuzzy subgroup. Also we formulate the concept of interval-valued fuzzy subgroup generated by a given interval-valued fuzzy set by level subgroups. Furthermore we give characterizations of interval-valued fuzzy conjugate subgroups and interval-valued fuzzy characteristic subgroups by their level subgroups. Also we investigate the level subgroups of the homomorphic image of a given interval-valued fuzzy subgroup.
Keywords
interval-valued fuzzy subgroup; level subgroup; interval-valued fuzzy conjugate subgroup; interval-valued fuzzy characteristic subgroup;
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
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