INTERVAL-VALUED FUZZY SUBGROUPS AND LEVEL SUBGROUPS

- Journal title : Honam Mathematical Journal
- Volume 35, Issue 3, 2013, pp.525-540
- Publisher : The Honam Mathematical Society
- DOI : 10.5831/HMJ.2013.35.3.525

Title & Authors

INTERVAL-VALUED FUZZY SUBGROUPS AND LEVEL SUBGROUPS

Lee, Jeong Gon; Hur, Kul; Lim, Pyung Ki;

Lee, Jeong Gon; Hur, Kul; Lim, Pyung Ki;

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;

Language

English

Cited by

References

1.

R. Biswas, Rosenfeld's fuzzy subgroups with interval-valued membership functions, Fuzzy set and systems 63 (1995), 87-90.

2.

M. Cheong and K. Hur, Interval-valued fuzzy ideals and bi-ideals of a semi-group, IJFIS 11 (2011), 259-266.

3.

J. Y. Choi, S. R. Kim and K. Hur, Interval-valued smooth topological spaces, Honam Math. J. 32(4) (2010), 711-738.

4.

M. B. Gorzalczany, A method of inference in approximate reasoning based on interval-valued fuzzy sets, Fuzzy sets and Systems 21 (1987), 1-17.

5.

S. Y. Jang, K. Hur and P. K. Lim, Interval-valued fuzzy normal subgroups, IJFIS 12(3) (2012), 205-214.

6.

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.

7.

8.

9.

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.

10.

T.K.Mondal and S.K.Samanta, Topology of interval-valued fuzzy sets, Indian J. Pure Appl. Math. 30(1) (1999), 20-38.