• Proceedings of the Korean Institute of Intelligent Systems Conference
• /
• 2004.04a
• /
• pp.372-377
• /
• 2004

We introduce the concepts of intuitionistic fuzzy ideals and intuitionistic fuzzy congruences on a lattice, and discuss the relationship between intuitionistic fuzzy ideals and intuitionistic fuzzy congruence on a distributive lattice. Also we prove that for a generalized Boolean algebra, the lattice of intuitionistic fuzzy ideals is isomorphic to the lattice of intuitionistic fuzzy congruences. Finally, we consider the products of intuitionistic fuzzy ideals and obtain a necessary and sufficient condition for an intuitionistic fuzzy ideals on the direct sum of lattices to be representable on a direct sum of intuitionistic fuzzy ideals on each lattice.

• Journal of the Korean Home Economics Association
• /
• v.32 no.1
• /
• pp.119-132
• /
• 1994

The purpose of this study was to investigate children's self-perceptions of social competence in three different levels of peer status and to determine the degree of congruence between children's perceptions and teachers' ratings of social competence. The subjects were 46 bpys and 44 girls identified as popular neglected and rejected by peers in preschool and in first and second grades. A sociometric test was used to identify children's peer status. Children's self-perceptions were assessed by the social Competence Scale for Young Children and teachers' assessment of children's competence was collected by a rating scale. The data were analyzed by 3-way ANOVA 2-way MANOVA for repeated measures and pearson product-moment correlations. The results showed that children's self-perceptions of social competence were generally positive and not significantly different by peer status and grade level in three of the four domains. For the maternal acceptance domain the degree of acceptance perceived by neglected group decreased with grade while those of popular children increased. The degree of congruence between children's perceptions and teachers' ratings were different by peer status. Popular children's estimation of their social competence was more congruent with teachers but neglected and rejected children overestimated their competence.

• Asia pacific journal of information systems
• /
• v.5 no.2
• /
• pp.177-197
• /
• 1995

In a study involving 52 large organizations in the savings institutions industry, the relationship between information systems technology (IST) structure and competitive strategy was investigated based on structural contingency theory. Structural contingency theory argues that organizational performance is contingent on the congruence between structure and contingent factors. Competitive strategy is considered to be the most important contingent factor among organizational context variables. Two dimensions of IST structure and three types of competitive strategy were employed to test a contingency model. It was found that enhanced congruence between IST structure and competitive strategy was associated with higher competitive advantage. The structural dimension significantly associated with the "defender" strategic stance was more centralized and more integrated application of IST, while the structural dimension significantly associated with "prospector" positioning was more decentralized and less integrated application of IST.

• The Pure and Applied Mathematics
• /
• v.13 no.3 s.33
• /
• pp.167-187
• /
• 2006

We introduce the concepts of intuitionistic fuzzy submodules and intuitionistic fuzzy weak congruences on an R-module (Near-ring module). And we obtain the correspondence between intuitionistic fuzzy weak congruences and intuitionistic fuzzy submodules of an R-module. Also, we define intuitionistic fuzzy quotient R-module of an R-module over an intuitionistic fuzzy submodule and obtain the correspondence between intuitionistic fuzzy weak congruences on an R-module and intuitionistic fuzzy weak congruences on intuitionistic fuzzy quotient R-module over an intuitionistic fuzzy submodule of an R-module.

• The Pure and Applied Mathematics
• /
• v.12 no.4 s.30
• /
• pp.253-274
• /
• 2005

An additive regular Semiring S is left inversive if the Set E+ (S) of all additive idempotents is left regular. The set LC(S) of all left inversive semiring congruences on an additive regular semiring S is a lattice. The relations $\theta$ and k (resp.), induced by tr. and ker (resp.), are congruences on LC(S) and each $\theta$-class p$\theta$ (resp. each k-class pk) is a complete modular sublattice with $p_{min}$ and $p_{max}$ (resp. With $p^{min}$ and $p^{max}$), as the least and greatest elements. $p_{min},\;p_{max},\;p^{min}$ and $p^{max}$, in particular ${\epsilon}_{max}$, the maximum additive idempotent separating congruence has been characterized explicitly. A semiring is quasi-inversive if and only if it is a subdirect product of a left inversive and a right inversive semiring.

• Bulletin of the Korean Mathematical Society
• /
• v.53 no.2
• /
• pp.487-494
• /
• 2016

Let p be an odd prime and c be a fixed integer with (c, p) = 1. For each integer a with $1{\leq}a{\leq}p-1$, it is clear that there exists one and only one b with $0{\leq}b{\leq}p-1$ such that $ab{\equiv}c$ mod p. Let N(c, p) denote the number of all solutions of the congruence equation $ab{\equiv}c$ mod p for $1{\leq}a$, $b{{\leq}}p-1$ in which a and $\bar{b}$ are of opposite parity, where $\bar{b}$ is defined by the congruence equation $b{\bar{b}}{\equiv}1$ mod p. The main purpose of this paper is using the mean value theorem of Dirichlet L-functions and the properties of Gauss sums to study the computational problem of one kind mean value function related to $E(c,p)=N(c,p)-{\frac{1}{2}}{\phi}(p)$, and give its an exact computational formula.

• Journal for History of Mathematics
• /
• v.34 no.5
• /
• pp.165-191
• /
• 2021

The simple simultaneous linear congruence equation solution in 《Sunzi Suanjing孫子算經》 has developed into a systematic general solution in 《Shuxue Jiuzhang數書九章》. The most important parts of it is the creation of the Dayan Qiuyishu大衍求一術. The reason why 《Sanhak Jeongeui算學正義》 deals with the Dayanshu大衍術 which has lost its practicality in the calculation of astronomical calendar, is that one of the best achievement of traditional mathematics cannot be omitted. It is written with an emphasis on the disclosure of the calculation principle. It shows that Nam Byeong-gil南秉吉 and Lee Sang-hyeok李尙爀 had a fairly structural understanding of the Dayan Qiuyishu.

• Asia Marketing Journal
• /
• v.22 no.4
• /
• pp.1-25
• /
• 2021

This paper explores how the positive effect achieved when consumption value matches brand benefit can increase brand loyalty. Prior research on consumption value mainly focused on perceived value; these studies omit consumers' views of consumption value. Therefore, this study examines the effect of congruence between consumption values (functional, emotional, social, and ethical value) and perceived brand benefits (enabling, enticing, symbolic, and socially responsible benefits) on consumers' brand identification, trust, and loyalty. We find a positive effect on brand identification and brand trust when a consumer's value is similar to a brand benefit, particularly between functional value and enabling benefit, and ethical value and socially responsible benefit. However, congruence between consumption value and perceived brand benefit only had an indirect effect on brand loyalty by mediating brand identification and trust. This study provides a basis for implementing a marketing strategy to build brand assets and increase brand loyalty by providing consumers with the value they want in a diversified market.

• East Asian mathematical journal
• /
• v.17 no.1
• /
• pp.115-128
• /
• 2001

We present old unsolved problems on BCK-sequences connected with convex congruences on BCK-algebras. We posed also some new problems on subalgebras.

• Communications of the Korean Mathematical Society
• /
• v.17 no.3
• /
• pp.403-407
• /
• 2002

In this note We discuss the Uniformity in BCI-algebras using Zhang's congruence relation.