• 충청수학회지
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• 제20권3호
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• pp.191-201
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• 2007

In this paper we introduce the notion of congruence on a ternary semigroup and study some interesting properties. We also introduce the notions of cancellative congruence, group congruence and Rees congruence and characterize these congruences in ternary semigroups.

• 대한수학회논문집
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• 제38권3호
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• pp.937-941
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• 2023

For each positive integer n, a square congruence graph S(n) is the graph with vertex set H = {1, 2, 3,...., n} and two vertices a, b are adjacent if they are distinct and a² ≡ b² (mod n). In this paper we investigate some structural properties of square congruence graph and we obtain the relationship between clique number, chromatic number and maximum degree of square congruence graph. Also we study square congruence graph with p vertices or 2p vertices for any prime number p.

• Asia Marketing Journal
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• 제14권4호
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• pp.167-188
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• 2013

In today's society with its emphasis on unlimited information access, control of available information about high-technology products is often vital to their success. When a product is released, consumers may initially be attracted through information about its remarkable internal and external features. They may also perceive a degree of congruence between their own personalities and the product image as more information becomes available over time. Consumers' changing impressions of the product may influence personality congruence negatively or positively. These changes and their effects on preference for high-technology products are the focus of this paper. A survey was given to a sample of 206 students at K University to investigate the degree to which consumer behavior can be influenced by personality congruence. The need for clear and definite product knowledge in this process and the effect of product information on preference were also investigated. Three analyses were conducted. The results of Analysis 1 showed the influence of personality congruence on preference for high-technology products. Judgments about personality congruence were based on non-compensatory rather than compensatory information processing. The respondents considered certain aspects of a product's personality rather than the product as a whole when making preference decisions. The results of Analysis 2 indicated that when less information was available about a product, consumers who perceived high personality congruence with the product tended to have higher preference for it compared to those who perceived low personality congruence with the product. On the other hand, when consumers were given more information, no difference was observed in the impact of personality on preference between perceived high and low personality congruence. Lastly, the results of Analysis 3 showed that when consumers with high need for closure (NFC) perceived high congruence between their own personalities and a product, objective information regarding the product was not used in decision-making: instead, judgments about the product were based on perceived personality congruence. On the other hand, high-NFC consumers who perceived low personality congruence between themselves and the product tended to require more information about the product in order to give it a positive evaluation. In contrast, low-NFC consumers who perceived high personality congruence felt comfortable with large amounts of information. For low-NFC consumers who perceived low congruence, the level of information had no influence on preference.

• 한국수학사학회지
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• 제20권2호
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• pp.109-126
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• 2007

Lobachevskii와 Hadamard는 유럽에서 Euclid의 '원론'에 의한 기하교육으로부터 새로운 형태의 기하교육으로의 전환하는 시기에 기하학 교재를 저술하였다. 본 연구에서는 Lobachevskii의 '기하학'과 Hadamard의 '초등기하학'에서 다루고 있는 삼각형의 합동에 대한 정리들을 조사하고, 이들의 증명 방법들을 분석하며, 직각삼각형의 합동조건의 증명 방법을 우리나라의 수학교과서에 제시된 증명 방법들과 비교하였다.

• 동아시아식생활학회지
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• 제22권1호
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• pp.120-132
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• 2012

The purpose of this study was to investigate thet 5 dimensions of brand personality that could affect brand attachment, and actual and ideal self-congruence in the family restaurant. Also, this study investigated the effects of actual and ideal self-congruence on brand attachment. Questionnaires were given to a sample of customers who visited one of the 4 famous national brands of family restaurants in Daegu. A total of 332 questionnaires were analyzed with SPSS/$PC^+$and LISREL. There were four major empirical research findings. First, sincerity, competence, sophistication and ruggedness affected brand attachment. And second, sincerity, competence and sophistication affected actual self-congruence. Third, sincerity and sophistication affected ideal self-congruence. And fourth, actual self-congruence affected brand attachment. However, the excitement dimension of brand personality did not affect brand attachment,; dimensions of excitement and ruggedness did not affect actual self-congruence,; dimensions of excitement, competence and ruggedness did not affect ideal self-congruence. Also, ideal self-congruence did not affect brand attachment. Based on these findings, marketers of family restaurants were recommended to strengthen the dimensions of sincerity, competence, and sophistication, and to weaken the ruggedness dimension.

• Journal of applied mathematics & informatics
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• 제26권1_2호
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• pp.307-316
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• 2008

Real life problems can be expressed as a congruence modulus n and split into a system of congruence equations in modulus factors of n. A system of congruence equations can be combined into a congruence equation under certain conditions. This paper uniquely presents and critically reviews the generalized Chinese Remainder Theorem (CRT) for combining systems of congruence equations into single congruence equations. Sequential and parallel implementation strategies of the generic CRT are outlined. A variety of unique applications of the CRT are discussed.

• Korean Journal of Mathematics
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• 제13권2호
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• pp.177-182
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• 2005

If a semigroup S has no nontrivial congruences then S is either simple or 0-simple.([2]) By contrast with ring theory, not every congruence on a semigroup is associated with an ideal, hence some simple(or 0-simple) semigroup may have a nontrivial congruence. Thus it is a short note for the characterization of a simple(or 0-simple) semigroup that is congruence-free. A semigroup that has no nontrivial congruences is said to be congruence-free.

• Korean Journal of Mathematics
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• 제14권2호
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• pp.241-248
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• 2006

We define a G-fuzzy congruence, which is a generalized fuzzy congruence, and characterize the G-fuzzy congruence generated by a left and right compatible fuzzy relation on a semigroup.

• 한국유통학회지:유통연구
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• 제8권1호
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• pp.21-46
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• 2003

유통업체 브랜드의 중요성에도 불구하고 소비자들의 유통업체 브랜드에 대한 태도 형성에 영향을 미치는 요인들에 대한 연구는 그다지 많이 진행되어 있지 않다. 본 연구에서는 유통업체 브랜드에 대한 태도 형성을 이미지 일치성 관점에서 파악하고 있다. 즉, 유통업체 브랜드와 소비자 간의 이미지 일치성, 점포와 유통업체 브랜드로 사용되는 제품군 간의 이미지 일치성, 점포와 소비자 간의 이미지 일치성 등 세 가지 종류의 이미지 일치성을 중심으로 이들이 유통업체 브랜드에 대한 태도에 미치는 영향이 어떠하며 상호 간의 관계는 어떠한지를 알아보고자 하는 것이 본 연구의 목적이다. 연구 결과에 의하면 소비자 자신과 유통업체 브랜드 간의 이미지 일치성은 세 가지 이미지 일치성 중에서 유통업체 브랜드에 대한 태도 형성에 가장 중요한 영향을 미치는 것으로 나타났으며 점포와 제품군 간의 이미지 일치성도 매우 중요한 것으로 나타나고 있다. 점포와 소비자 간의 이미지 일치성이 유통업체 브랜드 태도에 미치는 효과는 가설과는 반대로 나타났으며 이에 대한 해석도 제공되고 있다.

• 한국지능시스템학회논문지
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• 제15권6호
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• pp.771-779
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• 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.