• Bulletin of the Korean Mathematical Society
• /
• v.42 no.2
• /
• pp.315-326
• /
• 2005

In this paper, we define the weak dimension and the chain-weak dimension of an ordered set by using weak orders and chain-weak orders, respectively, as realizers. First, we prove that if P is not a weak order, then the weak dimension of P is the same as the dimension of P. Next, we determine the chain-weak dimension of the product of k-element chains. Finally, we prove some properties of chain-weak dimension which hold for dimension.

• Korean Journal of Mathematics
• /
• v.11 no.2
• /
• pp.137-146
• /
• 2003

In this paper we introduce the concepts of the weak $Denjoy_*$ integral of real-valued functions and the weak $Denjoy_*$-Dunford, weak $Denjoy_*$-Pettis, weak $Denjoy_*$-Bochner, weak $Denjoy_*$-McShane integrals of Banach-valued functions and then investigate some of their properties.

• Korean Journal of Mathematics
• /
• v.25 no.4
• /
• pp.563-577
• /
• 2017

We define a weak fuzzy equivalence relation and a weak fuzzy congruence and develop some properties of the weak fuzzy equivalence relations and the weak fuzzy congruences on semigroups.

• Journal of applied mathematics & informatics
• /
• v.35 no.5_6
• /
• pp.513-528
• /
• 2017

The concept of weak implicative filters is introduced in BE-algebras. Some characterizations of weak implicative filters are derived in terms of filters of a BE-algebra. Fuzzification is applied to the class of weak implicative filters. Some properties of fuzzy weak implicative filters are studied with respect to fuzzy relations and homomorphisms. The notion of triangular normed fuzzy weak implicative filters is introduced in BE-algebras and their properties are studied.

• Korean Journal of Mathematics
• /
• v.14 no.1
• /
• pp.101-112
• /
• 2006

In this paper, we introduce the concepts of weak smooth ${\alpha}$-closure and weak smooth ${\alpha}$-interior of a fuzzy set and obtain some of their structural properties. We also introduce the concepts of several types of weak quasi-smooth ${\alpha}$-compactness in terms of the concepts of weak smooth ${\alpha}$-closure and weak smooth ${\alpha}$-interior of a fuzzy set and investigate some of their properties.

• The Pure and Applied Mathematics
• /
• v.17 no.2
• /
• pp.137-143
• /
• 2010

Category Fuz of fuzzy sets has a similar function to the Category Set. But it forms a weak topos. We study a natural number object and a weak natural number object in the weak topos Fuz. Also we study the weak natural number object in $Fuz^C$.

• The Pure and Applied Mathematics
• /
• v.13 no.4 s.34
• /
• pp.249-254
• /
• 2006

Category Fuz of fuzzy sets has a similar function to the topos Set. But Category Fuz forms a weak topos. We show that supports split weakly(SSW) and with some properties, implicity axiom of choice(IAC) holds in weak topos Fuz. So weak axiom of choice(WAC) holds in weak topos Fuz. Also we show that weak extensionality principle for arrow holds in weak topos Fuz.

• Journal of the Chungcheong Mathematical Society
• /
• v.34 no.2
• /
• pp.131-138
• /
• 2021

In this paper, we define a concept of weak T-fibration which is a generalization of weak H-fibration, and study some properties of weak T-fibration and relations between the weak T-fibration and the Postnikov system for a fibration.

• The Journal of Pediatrics of Korean Medicine
• /
• v.23 no.3
• /
• pp.71-88
• /
• 2009

Objectives The purpose of this study is to find out the correlation between Stroop interference and the symptoms of weak children. Methods Questionnaire and performed Stroop interference test were done by 145 patients in OO Oriental Medical Hospital from May to October 2009. 120 patients who were considered as the weak children were divided into two groups: Stroop Interference T score above average group and below average group, and were surveyed again. Results 1. The study showed that age, the highest marked subject and behavior habits correlate to interference score and subjects characteristics. 2. Weak children groups had the highest tendency of having weak heart followed by weak lung spleen, liver, and kidney. Normally, a patient belonged to more than one of the weak children groups. 3. The study showed that a group of children who has weak heart and lung were related to interference score. The group which earned below average interference score had the highest frequency of being children with weak heart group. The group scored above average, however, had the highest chance of being children with weak lung group. 4. The study showed that interference score was related to four out of fifty questions about the weak children symptoms. Plus, related questions were all about the heart weak children symptoms. Conclusions In conclusion, there were significant correlation between interference score and the group consists of children who were weak: more specifically with children with weak heart.

• Bulletin of the Korean Mathematical Society
• /
• v.40 no.1
• /
• pp.1-8
• /
• 2003

In this paper, we further develop the weak polygroup theory, we define quotient weak polygroup and then the fundamental homomorphism theorem of group theory is derived in the context of weak polygroups. Also, we consider the fundamental relation $\beta$$^{*}$ defined on a weak polygroup and define a functor from the category of all weak polygroups into the category of all fundamental groups.s.