• Korean Journal of Mathematics
• /
• v.17 no.4
• /
• pp.361-374
• /
• 2009

We characterize a fuzzy partial order relation using its level set, find sufficient conditions for the image of a fuzzy partial order relation to be a fuzzy partial order relation, and find sufficient conditions for the inverse image of a fuzzy partial order relation to be a fuzzy partial order relation. Also we define a fuzzy lattice as fuzzy relations, characterize a fuzzy lattice using its level set, show that a fuzzy totally ordered set is a distributive fuzzy lattice, and show that the direct product of two fuzzy lattices is a fuzzy lattice.

• Korean Journal of Mathematics
• /
• v.11 no.2
• /
• pp.169-175
• /
• 2003

We find a G-fuzzy equivalence relation generated by the union of two G-fuzzy equivalence relations in a set, find a G-fuzzy equivalence relation generated by a fuzzy relation in a set, and find sufficient conditions for the composition ${\mu}{\circ}{\nu}$ of two G-fuzzy equivalence relations ${\mu}$ and ${\nu}$ to be a G-fuzzy equivalence relation generated by ${\mu}{\cup}{\nu}$.

• Journal of the Chungcheong Mathematical Society
• /
• v.28 no.2
• /
• pp.287-305
• /
• 2015

Hyperbolicity is a core of dynamics. Shadowness and expansiveness for homeomorphisms have been studied by J. Om-bach([3], [4], [5]). We study the hyperbolicity (i.e., expansivity and the shadowing property) and the Anosov relation for a closed relation.

• Korean Journal of Mathematics
• /
• v.14 no.1
• /
• pp.71-77
• /
• 2006

We find the ${\epsilon}$-fuzzy equivalence relation generated by the union of two ${\epsilon}$-fuzzy equivalence relations on a set, find the ${\epsilon}$-fuzzy equivalence relation generated by a fuzzy relation on a set, and find sufficient conditions for the composition ${\mu}{\circ}{\nu}$ of two ${\epsilon}$-fuzzy equivalence relations ${\mu}$ and ${\nu}$ to be the ${\epsilon}$-fuzzy equivalence relation generated by ${\mu}{\cup}{\nu}$. Also we study fuzzy partitions of ${\epsilon}$-fuzzy equivalence relations.

• 제어로봇시스템학회:학술대회논문집
• /
• 2001.10a
• /
• pp.106.2-106
• /
• 2001

The two typical composite operations of fuzzy relation are the max-min and the min-max composite operations. It is known that the two operations can be completely dual. This paper pays attention to the nature that these two typical operations are completely dual and investigates the correlation between the max-min composite relation equation and the min-max composite relation equation. An important scheme of correlation is in the characteristic of solution sets derived from these two fuzzy relation equations. The paper explains that one of the composite fuzzy relation equations is solvable using the solution method of the other fuzzy relation equation. The above-mentioned duality plays an important role in this solution procedure. Since it is not necessary to build the solution method separately like before, calculation efficiency can be raised. Moreover, the solution for the relation ...

• Journal of the Korean Home Economics Association
• /
• v.29 no.3
• /
• pp.175-190
• /
• 1991

The purpose of this study is to investigate communication styles in married couples. The subjects are a total of 301 couples living in Seoul. The main results are summarized as follows: 1. The styles of marital communication are consisted of 5 factors which are reproachful attitude, rational attitude, concessive attitude, unilateral attitude, and unconcerned attitude. 2. The styles of marital communication are classified into 5 styles in husbands which are arbitrary style, obeident style, authoritarian style, unconcerned style, and respectful style, and in wives, 4 styles which are arbitrary style, obeident style, unconcerned style, and respectful style. 3. The husband's arbitrary style and wives' unconcerned style are differently perceived by husbands and wives. 4. The relations of marital communication styles are classified into 3 relations which are supplementary relation, antagonistic relation, and equal relation. 5. In the case of equal relation and supplementary relation in comparison with antagonistic relation, husbands satisfy more with their wives' communication. And in the case of antagonistic relation in comparison with supplementary relation, husbands and wives want more to change of spouses' communication. 5. The relations of marital communication styles are affected in husbans by education, in wives by age, and family life cycle.

• Journal of Fisheries and Marine Sciences Education
• /
• v.26 no.6
• /
• pp.1217-1230
• /
• 2014

The purpose of this study was to investigate the mediating effects of inter-organizational relation on the relation between resilience and school adjustment in elementary school students. The results of this study are as follows: First, there were positive relations among student's resilience, school adjustment, and inter-organizational relation. Second, the mediating effect of inter-organizational relation in the relation between student's resilience and school adjustment was shown by the partial mediating effect. The result of the study shows that student's resilience is the variables influencing school adjustment. Therefore, it suggests to establish inter-organizational relation, ethical climate for active communication among school members in order to improve student's school adjustment. Based on the results, findings and implications are discussed.

• Journal of Astronomy and Space Sciences
• /
• v.27 no.1
• /
• pp.1-10
• /
• 2010

The distance distribution in our planetary system has been a controversial matter. Two kinds of important issues on Titius-Bode's relation have been discussed up to now: one is if there is a simple mathematical relation between distances of natural bodies orbiting a central body, and the other is if there is any physical basis for such a relation. We have examined, by applying it to exo-planetary systems, whether Titius-Bode's relation is exclusively applicable to our solar system. We study, with the $X^2$ test, the distribution of period ratios of two planets in multiple planet systems by comparing it with that derived from not only Titius-Bode's relation but also other forms of it. The $X^2$ value between the distribution of the orbital period derived from Titius-Bode's relation and that observed in our Solar system is 12.28 (dof=18) with high probability, i.e., 83.3 %. The value of $X^2$ and probability resulted from Titius-Bode's relation and observed exo-planetary systems are 21.38 (dof=26) and 72.2 %, respectively. Modified forms we adopted seem also to agree with the planetary system as favorably as Titius-Bode's relation does. As a result, one cannot rule out the possibility that the distribution of the ratio of orbiting periods in multiple planet systems is consistent with that derived from Titius-Bode's relation. Having speculated Titius-Bode's relation could be valid in exo-planetary systems, we tentatively conclude it is unlikely that Titius-Bode's relation explains the distance distribution in our planetary system due to chance. Finally, we point out implications of our finding.

• Journal of Korean Society of Transportation
• /
• v.22 no.3 s.74
• /
• pp.179-201
• /
• 2004

Online traffic flow modeling is attracting more attention due to intelligent transport systems and technologies. The flow-density relation plays an important role in traffic flow modeling and provides a basic way to illustrate traffic flow behavior under different traffic flow and traffic density conditions. Until now the research effort has focused mainly on the shape of the relation. The time series of the relation has not been identified clearly, even though the time series of the relation reflects the upstream/downstream traffic conditions and should be considered in the traffic flow modeling. In this paper the flow-density relation is analyzed dynamically and interpreted as a states diagram. The dynamic flow-density relation is quantified by applying fuzzy logic. The quantified dynamic flow-density relation builds the basis for online application of a macroscopic traffic flow model. The new approach to online modeling of traffic flow applying the dynamic flow-density relation alleviates parameter calibration problems stemming from the static flow-density relation.

• The Korean Society of Law and Medicine
• /
• v.15 no.2
• /
• pp.435-459
• /
• 2014

Supreme Court of Korea has been mitigating the burden of proof on the malpractice and causal relation by a patient in accordance with the practical transfer of such burden of proof on causal relation as well as relieving a doctor's burden of proof on mistake in the civil damage claim suits on the malpractice. However, a prosecutor shall strictly prove the causal relation between malpractice and unfavorable results as well as a doctor's mistake in the criminal cases for making a doctor accept the professional negligence resulting in death or injury in accordance with In Dubio Pro Reo principles. Furthermore, it shall not be allowed to relieve the burden of proof on malpractice and causal relation which has been frequently applied in the civil proceedings. Nevertheless, it was widely known that the front-line courts accepted the malpractice and causal relation by quoting the legal principles on relieving the burden of proof on malpractice and causal relation applied in the civil cases even in criminal cases with no or insufficient proof on malpractice or causal relation. However, the latest precedents in Supreme Court explicitly declared the opinion that there was no reason to apply the legal principle to relieve the burden of proof on the malpractice and causal relation in the criminal cases requiring the proof 'which doesn't cause any reasonable doubt' on malpractice and causal relation in accordance with the legal principles 'favorable judgment for a defendant in case of any doubt' on the basis of the strict principle of 'nulla poena sine lege.' Accordingly, Supreme court definitely clarified that there would be no reason to relieve the burden of proof on malpractice and causal relation in criminal cases by reversing several original judgments accepting malpractice and causal relation even though there were no strict evidence.