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- Su-Yeon Jang, Kul Hur, Pyung-Ki Lim
- Int. J. Fuzzy Logic and Intelligent Systems
- 2012

We study some properties of interval-valued fuzzy normal subgroups of a group. In particular, we obtain two characterizations of interval-valued fuzzy normal subgroups. Moreover, we introduce the concept of an interval-valued fuzzy coset and obtain several results which are analogous of some basic theorems of group theory.

- Kul Hur, Su Youn Jang, Pyung-Ki Lim
- Int. J. Fuzzy Logic and Intelligent Systems
- 2008

- Pyung-Ki Lim, Byeong-Guk Ryoo, Kul Hur
- Int. J. Fuzzy Logic and Intelligent Systems
- 2012

In this paper, we introduce the concept of ordinary smooth topology on a set X by considering the gradation of openness of ordinary subsets of X . And we obtain the result [Corollary 2.13] : An ordinary smooth topology is fully determined its decomposition in classical topologies. Also we introduce the notion of ordinary smooth [resp. strong and weak]… (More)

- Kul Hur, Keon-Chang Lee, Pyung-Ki Lim
- Int. J. Fuzzy Logic and Intelligent Systems
- 2008

- Pyung-Ki Lim, So-Ra Kim, Kul Hur
- Int. J. Fuzzy Logic and Intelligent Systems
- 2010

- Pyung-Ki Lim, So-Ra Kim, Kul Hur
- Int. J. Fuzzy Logic and Intelligent Systems
- 2010

- Jeonggon Lee, Kul Hur, Pyung-Ki Lim
- Int. J. Fuzzy Logic and Intelligent Systems
- 2014

- Kul Hur, So-Ra Kim, Pyung-Ki Lim
- Int. J. Fuzzy Logic and Intelligent Systems
- 2009

- Jeonggon Lee, Kul Hur, Pyung-Ki Lim
- Int. J. Fuzzy Logic and Intelligent Systems
- 2013

We introduce the concept of interval-valued fuzzy congruences on a semigroup S and we obtain some important results: First, for any interval-valued fuzzy congruence R on a group G, the interval-valued congruence class Re is an interval-valued fuzzy normal subgroup of G. Second, for any interval-valued fuzzy congruence R on a groupoid S, we show that a… (More)

- Keon-Chang Lee, Kul Hur, Pyung-Ki Lim
- Int. J. Fuzzy Logic and Intelligent Systems
- 2012

We introduce the notions of interval-valued fuzzy prime ideals, interval-valued fuzzy completely prime ideals and intervalvalued fuzzy weakly completely prime ideals. And we give a characterization of interval-valued fuzzy ideals and establish relationships between interval-valued fuzzy completely prime ideals and interval-valued fuzzy weakly completely… (More)