• Journal of applied mathematics & informatics
• /
• v.22 no.1_2
• /
• pp.475-489
• /
• 2006

After the introduction of fuzzy sets by Zadeh [8], there have been a number of generalizations of fundamental concept. The notion of intuitionistic fuzzy sets introduced by Atanassov is one among them. An intuitionistic fuzzy set is also called a bifuzzy set according to [5]. In this paper, we apply the concept of a bifuzzy set to (implicative) ideals in pseudo MV-algebras. The notion of a bifuzzy (implicative) ideal of a pseudo MV-algebra is introduced, and some related properties are investigated. Conditions for a bifuzzy set to be a bifuzzy ideal are given, and characterizations of a bifuzzy (implicative) ideal are provided. Using a family of ideals, bifuzzy ideals are established.

• Communications of the Korean Mathematical Society
• /
• v.38 no.3
• /
• pp.663-677
• /
• 2023

The purpose of this paper is to introduce a new class of rings containing the class of SFT-rings and contained in the class of rings with Noetherian prime spectrum. Let A be a commutative ring with unit and I be an ideal of A. We say that I is SFT if there exist an integer k ≥ 1 and a finitely generated ideal F ⊆ I of A such that x^k ∈ F for every x ∈ I. The ring A is said to be nonnil-SFT, if each nonnil-ideal (i.e., not contained in the nilradical of A) is SFT. We investigate the nonnil-SFT variant of some well known theorems on SFT-rings. Also we study the transfer of this property to Nagata's idealization and the amalgamation algebra along an ideal. Many examples are given. In fact, using the amalgamation construction, we give an infinite family of nonnil-SFT rings which are not SFT.

• Communications of the Korean Mathematical Society
• /
• v.38 no.1
• /
• pp.267-280
• /
• 2023

In this article, we show that the family of all 𝓘^𝒦-open subsets in a topological space forms a topology if 𝒦 is a maximal ideal. We introduce the notion of 𝓘^𝒦-covering map and investigate some basic properties. The notion of quotient map is studied in the context of 𝓘^𝒦-convergence and the relationship between 𝓘^𝒦-continuity and 𝓘^𝒦-quotient map is established. We show that for a maximal ideal 𝒦, the properties of continuity and preserving 𝓘^𝒦-convergence of a function defined on X coincide if and only if X is an 𝓘^𝒦-sequential space.

• Journal of Families and Better Life
• /
• v.33 no.1
• /
• pp.87-97
• /
• 2015

This study aims to examine how home child care allowance influences a mother's choice of child care type. To accomplish this goal, we surveyed 432 mothers who had at least one child under 5 years old. The data were analyzed by frequencies, percentages, means and binomial logistic regressions. The results showed that unemployed mothers and mothers with younger children had a high tendency to choose home child care allowance instead of child care subsidy. Second, mother's employment status, age of first child and an interactive term of mother's employment status and home child care receipt influenced a concordance between an ideal and actual child care type. Unemployed mothers and mothers with younger children were more likely to experience a concordance between their ideal and actual types of child care. By investigating how home child care allowance affects the right of choice in child care type, this study provides empirical information to policy makers and researchers and contributes to develop cash-benefit policies for families with young children.

• The Journal of Korean Institute of Communications and Information Sciences
• /
• v.28 no.9C
• /
• pp.835-842
• /
• 2003

For an odd prime p and integer n, m and k such that n=(2m＋1)ㆍk, a new family of p-ary sequences of period p$^{n}$ -1 with optimal correlation property is constructed using the p-ary Helleseth-Gong sequences with ideal autocorrelation, where the size of the sequence family is p$^{n}$ . That is, the maximum nontrivial correlation value R$_{max}$ of all pairs of distinct sequences in the family does not exceed p$^{n}$ 2/ ＋1, which means the optimal correlation property in terms of Welch's lower bound. It is also derived that the linear span of the sequences in the family is (m＋2)ㆍn except for the m-sequence in the family.

• Korean Journal of Family Social Work
• /
• no.57
• /
• pp.99-124
• /
• 2017

The primary objective of this study is to examine differences between the persons with recent onset and chronic mental illness in their family function; and analyze factors influence on the family function. The independent variables are divided into four sets: socio-economic, clinical, familial, and social characteristics. The subjects of this study are the 628 with mental disorders, and the sample was selected in Pusan and Gyeong-nam area. The findings of this study can be summarized as followed: The family with chronic mental illness showed higher family function in comparison with recent onset. Result of hierarchical multiple regression analysis show that age of onset, difference between ideal and reality in family function variable only influenced family function for the recent onset group, and activities of daily living, difference between ideal and reality in family function, caregiver's health, community support variables influenced family function for the chronic group. The results suggest a need for using different treatment approaches for recent onset versus chronic mentally disabled families. Implications for mental health social work practice for family with disabled are suggested.

• Korean Journal of Human Ecology
• /
• v.1 no.1
• /
• pp.1-25
• /
• 1992

The purpose of this study is to find out the traditional customs of family occasions-New Year Day, Full Moon Day, a marriage ceremony, funeral, first-year birthday, 60th birthday, other birthday, and moving a residence through a literature review. The content of each occasion consists of meaning, process of activities, costume, foods, plays, gifts, etc. The following research is suggested to survey on actual family life and to develop and provide ideal program of the family occasions through formal and informal education.

• Communications of the Korean Mathematical Society
• /
• v.10 no.3
• /
• pp.499-518
• /
• 1995

In this paper we consider more systematically the centralizer C(S) of the set $S = {f_a $\mid$ f_a : X \to X ; x \longmapsto x * a, a \in X}$ with respect to the semigroup End(X) of all endomorphisms of an implicative BCK-algebra X with the condition (S). We obtain a series of interesting results. The main results are stated as follows : (1) C(S) with repect to a binary operation * defined in a certain way forms a bounded implicative BCK-algebra with the condition (S). (2) X can be imbedded in C(S) such that X is an ideal of C(S)/ (3) If X is not bounded, it can be imbedded in a bounded subalgebra T of C(S) such that X is a maximal ideal of T. (4) If $X (\neq {0})$ is semisimple, C(S) is BCK-isomorphic to $\prod_{i \in I}{A_i}$ in which ${A_i}_{i \in I}$ is simple ideal family of X.

• The Korean Journal of Community Living Science
• /
• v.18 no.4
• /
• pp.639-653
• /
• 2007

The purpose of this study was to investigate factors affecting the decisions regarding second births. Especially, analysis focused on the connections between desire for a second birth and the family factors such as family values and marital relations because they have been rarely known until now. Data was from 1,156 married women that had only one child and had been part of the national data collected by KIHASA in 2003. Major findings can be summarized as follows. First, it was found that value-related factors affect the likelihood of a second birth. The degree of parental responsibility is negatively related with the desire for a second birth. However, the perceived ideal number of children is positively related to it. Second, it was found that the quality of family relations influences the decision for the second birth. Particularly, marital satisfaction is likely to be the most important factor tending to mediate the effects of socio-demographic factors and value-related factors on the plan for a second birth. These results suggest that the effects of social norms on the number of children and timing of childbearing which exist in the family are becoming weaker. Nevertheless, the traditional value of children such as a preference for a son can still be found.

• Child Health Nursing Research
• /
• v.11 no.1
• /
• pp.54-62
• /
• 2005

Purpose: This study was done to examine the relationship between sexual permissiveness, family function and parent-adolescent communication among adolescents. Method: A descriptive correlation approach was used and the participants were 956 male and female students. Data were collected by questionnaire survey using convenience sampling. The instruments were the Family APGAR Questionnaire by Smilkstein(1978), PAC by Olson and Barnes(1982), and the Premarital Sexual Permissiveness Questionnaire by Reiss(1967). Data were analyzed using the SPSS 10.0 program with descriptive statistics, Pearson correlation coefficients, t-test, and ANOVA. Results: Family function was significant according to school record, economic status, living arrangement of parent. Parent-Adolescent Communication was significant according to religion, economic status, having a boy/girl friend, and experience of sexual intercourse. Sexual permissiveness was significant for all except economic status. Correlation among the variables showed that parent-adolescent communication was negatively correlated to sexual permissiveness(r=-.127, p=.000) and positively to family function(r=.368, p=.000). Conclusion: The findings suggest that parent-adolescent communication and family function are associated with sexual permissiveness, and the findings of this study are expected to make a contribution to creating an ideal sexual culture for youth.