• Korean Journal of Mathematics
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• v.17 no.4
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• pp.361-374
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• 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
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• v.24 no.2
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• pp.169-179
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• 2016

In this article, we introduce the concept of ordered dualistic partial metric spaces and establish an order relation on quasi dualistic partial metric spaces. Later on, using this order relation, we prove xed point theorems for single and multivalued mappings. We support our results with some illustrative examples.

• Journal of Korean Society of Industrial and Systems Engineering
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• v.36 no.4
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• pp.64-70
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• 2013

Estimation approaches for casual relation model with high-order factors have strict restrictions or limits. In the case of ML (Maximum Likelihood), a strong assumption which data must show a normal distribution is required and factors of exponentiation is impossible due to the uncertainty of factors. To overcome this limitation many PLS (Partial Least Squares) approaches are introduced to estimate the structural equation model including high-order factors. However, it is possible to yield biased estimates if there are some differences in the number of measurement variables connected to each latent variable. In addition, any approach does not exist to deal with general cases not having any measurement variable of high-order factors. This study compare several approaches including the repeated measures approach which are used to estimate the casual relation model including high-order factors by using PLS (Partial Least Squares), and suggest the best estimation approach. In other words, the study proposes the best approach through the research on the existing studies related to the casual relation model including high-order factors by using PLS and approach comparison using a virtual model.

• Journal of the Korean Mathematical Society
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• v.44 no.4
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• pp.767-777
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• 2007

By proving a summation formula, we enumerate the expansions for the mock theta functions of order 2 in terms of partial mock theta functions of order 2, 3 and 6. We show a relation between Ramanujan's ${\mu}(q)$-function and his sixth order mock theta functions. In addition, we also give the continued fraction representation for ${\mu}(q)$ and 2nd order mock theta functions and $Pad\acute{e}$ approximants.

• Honam Mathematical Journal
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• v.45 no.1
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• pp.1-24
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• 2023

In the present paper, we prove common fixed point theorems for a pair of weakly compatible mappings under implicit contractive relation in quasi-partial S_b-metric spaces. We also provide an illustrative example to support our results. Furthermore, we will use the results obtained for application to two boundary value problems for the second-order differential equation. Also, we prove a common solution for the nonlinear fractional differential equation.

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

• Proceedings of the KIEE Conference
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• 2011.07a
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• pp.1562-1563
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• 2011

Partial discharge measurement is one of the effective diagnostic techniques to predict abnormal high voltage dielectric insulation conditions of the electric equipments. Recently partial discharge diagnostic techniques were also utilized to evaluate the cryogenic dielectric insulation of high temperature superconducting electric equipment in liquid nitrogen. Generally, liquid nitrogen at 77 K is used used as the cryogenic and dielectric media for many high temperature superconducting high voltage applications. When a quench in the superconductor occurs, bubbles are generated which can affect the dielectric properties of the liquid nitrogen. So in order to reduce the bubble formation, subcooled nitrogen was also employed for this purpose. In this work, investigation of partial discharge characteristics of subcooled liquid nitrogen were conducted in order to clarify the retardation of partial discharge initiation voltage according to the different subcooling temperature of liquid nitrogen. And also the relation of partial discharge phenomena and the activities of bubbles were analyzed. It was observed that PD inception voltages shows rather different characteristics according to the decrease of subcooling temperature and the activities of bubbles were strongly influenced by temperature of the subcooled liquid nitrogen.

• Proceedings of the Korean Information Science Society Conference
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• 2008.06a
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• pp.373-374
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• 2008

• Journal of the Chungcheong Mathematical Society
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• v.35 no.2
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• pp.177-196
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• 2022

The Elzaki Transform method is fuzzified to fuzzy Elzaki Transform by Rehab Ali Khudair. In this article, we propose a Double fuzzy Elzaki transform (DFET) method to solving fuzzy partial differential equations (FPDEs) and we prove some properties and theorems of DFET, fundamental results of DFET for fuzzy partial derivatives of the n^th order, construct the Procedure to find the solution of FPDEs by DFET, provide duality relation of Double Fuzzy Laplace Transform (DFLT) and Double Fuzzy Sumudu Transform(DFST) with proposed Transform. Also we solve the Fuzzy Poisson's equation and fuzzy Telegraph equation to show the DFET method is a powerful mathematical tool for solving FPDEs analytically.

• Fire Science and Engineering
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• v.31 no.4
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• pp.111-118
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• 2017

The present paper is a study on the risk analysis of complex electrical fire by the partial disconnection and tracking. First, in order to analysis the single cause of electrical fire risk by the partial disconnection, the thermal characteristic has been measured by the change in the number of strands and the rated current of a wire. And then, in order to analysis the electrical fire risk by complex cause, an experiment on the accelerated tracking has been carried out in a condition of partial disconnection and confirmed the fire relation between partial disconnection and tracking. From the experiment, if the partial wire disconnection acts as a single cause, the existing thermal characteristics generated by the flowing current has appeared more clearly by the increase in the flowing current due to the complex action of tracking. Accordingly, the disconnection of strands has appeared by the complex cause due to the drastic temperature increase which was not generated in the single cause. Namely, it has been confirmed that if the partial disconnection and tracking act complexly rather than the risk of electrical fire by the existing partial disconnection, relatively its risk has been increased in large.