Browse > Article
http://dx.doi.org/10.5831/HMJ.2013.35.3.525

INTERVAL-VALUED FUZZY SUBGROUPS AND LEVEL 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.3, 2013 , pp. 525-540 More about this Journal
Abstract
We introduce the concept of level subgroups of an interval-valued fuzzy subgroup and study some of its properties. These level subgroups in turn play an important role in the characterization of all interval-valued fuzzy subgroup of a prime cyclic group.
Keywords
interval-valued fuzzy set; interval-valued fuzzy subgroup; level subgroup;
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
연도 인용수 순위
1 Y. B. Jun, J. J. Bae, S. H. Cho and C. S. Kim, Interval-valued fuzzy strong semi-openness and interval-valued fuzzy strong semi-continuity, Honam Math. J. 28(3) (2006), 417-431.
2 H. Kang, Interval-valued fuzzy subgroups and homomorphisms, Honam Math. J. 33(4) (2011), 499-518.   과학기술학회마을   DOI   ScienceOn
3 H. Kang and K.Hur, Interval-valued fuzzy subgroups and rings, Honam Math. J. 32(4) (2010), 593-617.   과학기술학회마을   DOI   ScienceOn
4 K. C. Lee, H. Kang and K.Hur, Interval-valued fuzzy generalized bi-ideals of a semigroup, Honam Math. J. 33(4) (2011), 603-611.   과학기술학회마을   DOI   ScienceOn
5 T.K.Mondal and S.K.Samanta, Topology of interval-valued fuzzy sets, Indian J. Pure Appl. Math. 30(1) (1999), 20-38.
6 L.A.Zadeh, Fuzzy sets, Inform and Control 8 (1965), 338-353.   DOI
7 L.A.Zadeh, The concept of a linguistic variable and its application to approximate reasoning-I, Inform. Sci 8 (1975), 199-249.   DOI   ScienceOn
8 R. Biswas, Rosenfeld's fuzzy subgroups with interval-valued membership functions, Fuzzy set and systems 63 (1995), 87-90.
9 M. Cheong and K. Hur, Interval-valued fuzzy ideals and bi-ideals of a semi-group, IJFIS 11 (2011), 259-266.   DOI
10 J. Y. Choi, S. R. Kim and K. Hur, Interval-valued smooth topological spaces, Honam Math. J. 32(4) (2010), 711-738.   과학기술학회마을   DOI   ScienceOn
11 S. Y. Jang, K. Hur and P. K. Lim, Interval-valued fuzzy normal subgroups, IJFIS 12(3) (2012), 205-214.   DOI
12 M. B. Gorzalczany, A method of inference in approximate reasoning based on interval-valued fuzzy sets, Fuzzy sets and Systems 21 (1987), 1-17.   DOI   ScienceOn