• 호남수학학술지
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• 제43권1호
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• pp.1-16
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• 2021

In this paper, we generalize the notion of soft congruence relations from rings to semirings. We construct some examples in order to show that these relations exist over semirings. Some properties of these relations are investigated.

• 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.

• Korean Journal of Mathematics
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• 제25권4호
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• pp.563-577
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• 2017

We define a weak fuzzy equivalence relation and a weak fuzzy congruence and develop some properties of the weak fuzzy equivalence relations and the weak fuzzy congruences on semigroups.

• 대한수학회논문집
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• 제23권4호
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• pp.461-468
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• 2008

We define an $\epsilon$-fuzzy congruence, which is a weakened fuzzy congruence, find the $\epsilon$-fuzzy congruence generated by the union of two $\epsilon$-fuzzy congruences on a semigroup, and characterize the $\epsilon$-fuzzy congruences generated by fuzzy relations on semigroups. We also show that the collection of all $\epsilon$-fuzzy congruences on a semigroup is a complete lattice and that the collection of $\epsilon$-fuzzy congruences under some conditions is a modular lattice.

• Journal of applied mathematics & informatics
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• 제33권5_6호
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• pp.739-748
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• 2015

The notion of quasi-lattice implication algebras is a generalization of lattice implication algebras. In this paper, we give an optimized definition of quasi-lattice implication algebra and show that this algebra is a distributive lattice and that this algebra is a lattice implication algebra. Also, we define a congruence relation Φ_F induced by a filter F and show that every congruence relation on a quasi-lattice implication algebra is a congruence relation Φ_F induced by a filter F.

• 아동학회지
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• 제17권1호
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• pp.57-75
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• 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.

• 대한수학회보
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• 제46권2호
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• pp.229-234
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• 2009

We find congruences for the t-expansion coefficients of a Drinfeld modular form for ${\Gamma}^+_0$(Q), where Q is a monic irreducible polynomial. As an application we obtain new congruence relations for the t-expansion coefficients of Drinfeld modular forms for ${GL_2}(\mathbb{F}_q[T])$.

• Kyungpook Mathematical Journal
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• 제5권2호
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• pp.23-33
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• 1963

• 대한수학회보
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• 제46권3호
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• pp.591-598
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• 2009

This paper studies the relations between ideals, filters, regular congruences and normal congruences in inclines. It is shown that for any incline, there are a one-to-one correspondence between all ideals and all regular congruences and a one-to-one correspondence between all filters and all normal congruences.

• 한국지능시스템학회논문지
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• 제17권1호
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• pp.100-111
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• 2007

We introduce the concept of intuitionistic fuzzy G-equivalence relations (congruence), and we obtain some results. Furthermore, we prove that $IFC_G(K)$ is isomorphic to $IFN^*(K)$ for any group K. Also, we prove that($IFC_{G,({\lambda},{\mu})}/{\sim},\;*$) and ($IFNG_{({\lambda},{\mu})}(K),\;{\circ}$) are isomorphic.