• Journal of the Korean Institute of Intelligent Systems
• /
• v.15 no.6
• /
• pp.771-779
• /
• 2005

We introduce two concepts of intuitionistic fuzzy Rees congruence on a semigroup and intuitionistic fuzzy Rees con-gruence semigroup. As an important result, we prove that for a intuitionistic fuzzy Rees congruence semigroup S, the set of all intuitionistic fuzzy ideals of S and the set of all intuitionistic fuzzy congruences on S are lattice isomorphic. Moreover, we show that a homomorphic image of an intuitionistic fuzzy Rees congruence semigroup is an intuitionistic fuzzy Rees congruence semigroup.

• The Mathematical Education
• /
• v.48 no.3
• /
• pp.287-302
• /
• 2009

This study investigated how 5th grade students found and understood triangle congruence conditions (SSS, SAS, ASA). In particular, this study focused on children's processes of discovering triangle congruence conditions and the obstacles which they encountered in the process of making sense of these conditions. Our data indicates that inquiring the cases in which less than three factors of triangle are given is helpful for children to guess triangle congruence conditions and understand the minimal characteristic of these conditions. And the degree of difficulty of discovering each congruence condition is different. Children discovered SAS condition and ASA condition easily, but it was hard for them to discover and understand that SSS was also a triangle congruence condition because they connected the length of a given side with the use of a scaled ruler not a compass.

• Korean Journal of Mathematics
• /
• v.18 no.4
• /
• pp.343-356
• /
• 2010

We define a G-fuzzy congruence, which is a generalized fuzzy congruence, discuss some of its basic properties, and characterize the G-fuzzy congruence generated by a fuzzy relation on a semigroup. We also give certain lattice theoretic properties of G-fuzzy congruences on semigroups.

• The Mathematical Education
• /
• v.56 no.3
• /
• pp.235-255
• /
• 2017

This study compared and contrasted the topics related to congruence and symmetry in the elementary mathematics textbooks series of Korea, Japan, Hong Kong, Finland, and Singapore in three aspects: (a) when to teach, (b) what to teach, and (c) how to teach. Firstly, the results of when to teach showed differences across the countries with a variation of teaching the topics among grades from 3 to 6. Secondly, the results of what to teach revealed subtle but significant differences. Regarding congruence, Korea and Japan deal with congruence in a systematic manner, while Finland tends to address the brief definition of congruence, and Hong Kong and Singapore focus on teaching tessellation which implies congruence. Regarding symmetry, Korea and Japan deal only with a symmetric figure for a line and that for a point, while Hong Kong includes a rotational symmetry and Finland extends further to cover the figures positioned in a symmetry both for a line and for a point. Lastly, the results of how to teach demonstrated that Korea tends to focus on the procedure of drawing both triangles to be congruent and symmetric figures. This implies that we need to consider alternative methods such as using various instructional materials and making an explicit connection among mathematical concepts in teaching congruence and symmetry.

• Culinary science and hospitality research
• /
• v.23 no.6
• /
• pp.89-98
• /
• 2017

This research focused on recognizing and empirically testing a relationship between brand personality congruence and brand extension, which can lead to effective marketing strategies for the hotel industry. The objective of this research was to identify how customer's brand personality congruence affect brand extension and to then address what the most appropriate brand extension types for hotel brands are. This study offered a better approach to assess the broader impact of extension strategy for the marketer managers. The methodology for achieving these objectives were described in the following sections: developing measurements based on extensive reviews of literature and analyzing data utilized a exploratory factor analysis and a series of simple linear regression analyses. The result of this study showed customer's brand personality congruence had a great impact on the customer's positive attitude toward core brand. However, customer's attitude toward core brand had no impact on the updated attitude. The findings provided some theoretical and managerial implications for hotel operators.

• Journal of Engineering Education Research
• /
• v.19 no.6
• /
• pp.10-19
• /
• 2016

This study was conducted to explore the major adjustment factors in undergraduates by investigating the characteristics of group which doesn't correspond to Holland's congruence assumption. For this study, 313 sophomore year undergraduates in engineering were surveyed. The results of this study showed as follows. First, the group which doesn't correspond to Holland's congruence assumption represented 16.6% of all. Second, there were significant differences of basic psychological needs among four groups by interest-major congruence and major adjustment. These findings imply that major selection in congruence with interest is not critical and we should also consider basic psychological needs(autonomy, competence, relatedness) for engineering major adjustment.

• Korean Journal of Child Studies
• /
• v.17 no.1
• /
• pp.57-75
• /
• 1996

The purpose of this study was to investigate relations between the congruence of parent-child beliefs and child's perceived competence. The subjects were 138 children (68 eight-year-olds and 70 eleven-year-olds) and their parents. Instruments were the modified Family Belief Interview Schedule (Alessandri & Wozniak, 1987), and Harter's Perceived Competence Scale. Data were analyzed by Pearson's product moment correlation and two-way ANOVA. There were significant differences in child's perceived cognitive competence, social competence and physical competence by degree of congruence between child's belief and maternal belief. Younger children showed a higher level of general self-worth perception while older children showed a lower level. Children who showed a high congruence of beliefs with parents perceived their competence more highly than those with low congruence. This tendency was particularly outstanding in the perception of cognitive competence, implying a positive impact of the congruence of parent-child beliefs on children's perceived cognitive competence.

• Journal of the Chungcheong Mathematical Society
• /
• v.29 no.1
• /
• pp.117-121
• /
• 2016

In this paper we give a determinant formula for the ratio of relative congruence zeta functions of cyclotomic function fields.

• The Journal of the Korea Contents Association
• /
• v.16 no.10
• /
• pp.373-381
• /
• 2016

This study examined the interaction of nostalgia and self-congruence on consumer behavior. We proposed that nostalgia make consumers' brand attitude and purchase intention more positive when the level of congruence between the brand and consumer's ideal self-image is high, irregardless of the level of actual self congruence. 283 middle-aged people participated and 2(nostalgia: stimuli vs. control) X 2(ideal self-congruence: high vs. low) between subject design is used. The result showed the interaction effect of nostalgia and ideal self congruence. Nostalgia-primed (vs. control) participants reported higher brand attitude and purchase intention to the ideal self-congruent brand. Finally the theoretcal and practical implications and limitations of this study are discussed.

• Journal of Elementary Mathematics Education in Korea
• /
• v.18 no.3
• /
• pp.539-555
• /
• 2014

In this study, an implication has been drawn for the textbook development and teaching and learning process as a congruence of a figure is compared and analyzed between Korean elementary mathematics textbooks and American elementary math textbooks. Based on the result of comparison and analysis in congruence contents between Korean and EM textbooks, some applications for the development of figure and congruence chapters in Korean textbooks are as below. First of all, in term of congruence, activities related to congruence need to be introduced after the concept of congruence is defined either with illustrations of fundamental figures such as a segment and angle or with examples of polygon. Second, it is required to assist students to realize that compasses can be used to copy length. In Korean textbooks, compasses are being introduced as a tool to draw circles, which causes children to have difficulty in drawing triangles. Last, for the implication of congruence, tessellation suggested in American Everyday Mathematics textbooks is worth being applied to the development of Korean textbooks.