• Journal of the Korean Statistical Society
• /
• 제24권1호
• /
• pp.249-256
• /
• 1995

In this note we prove an invariance principle for strictly stationary linear positive quadrant dependent sequences, satifying some assumption on the covariance structure, $0 < \sum Cov(X_1,X_j) < \infty$. This result is an extension of Burton, Dabrowski and Dehlings' invariance principle for weakly associated sequences to LPQD sequences as well as an improvement of Newman's central limit theorem for LPQD sequences.

• 대한수학회논문집
• /
• 제5권1호
• /
• pp.119-122
• /
• 1990

• Journal of applied mathematics & informatics
• /
• 제8권3호
• /
• pp.811.2-818
• /
• 2001

• 대한수학회지
• /
• 제10권2호
• /
• pp.73-75
• /
• 1973

• 대한수학교육학회지:학교수학
• /
• 제4권3호
• /
• pp.463-481
• /
• 2002

In this paper, I review the historical background of "the principle of the permanence of equivalent forms" and sum- marize properties of "the principle of the permanence of equivalent forms" as a kind of heuristic. 1 think that "the principle of the permanence of equivalent forms" can be used effectively for student's discovery of the algebraic structure. There are three ways of using "the principle of the permanence of equivalent forms" in extending number system - an extension on the base of set theory(SMSC), the formal or axiomatic extrapolation and the inductive-extrapolatory method. All those three methods are mixed up and being used potentially at various levels in current Korean text books. "The principle of the permanence of equivalent forms" is used most effectively in the subject of the exponent. 1 try to present a situation that makes the students find more general definition and cultivate their desirable attitudes for the mathematics in the process of extending the exponent through summarizing the debate between Goel & Robillard(1997) and Tirosh S, Even(1997).

• 농촌지도와개발
• /
• 제16권4호
• /
• pp.743-773
• /
• 2009

The objectives of this study were to study multicultural society of rural areas in Korea. USA immigration law permits permanent settlement but Korea immigration law prohibits permanent settlement. USA adopted the territorial principle but Korea adopted the personal(nationality) principle. So a large number of people immigrated and settled in USA and mass(collective) immigrants is usual in USA. But foreign workers(temporary immigration) and international marriage women(individual immigrants) is usual in Korea. According to the positive law, foreign workers cannot settle down in Korea. So international marriage women immigrants are main cause of multicultural society in rural areas in Korea. This is the particularity of multicultural society in rural areas in Korea. So it is necessary to differentiate multicultural society policy according to areas and residents. Many peoples see multicultural society from a point of view of human rights and welfare. But it is also necessary to see multicultural society from a point of view of economic and policy.

• 한국지능시스템학회논문지
• /
• 제25권2호
• /
• pp.197-202
• /
• 2015

삼각퍼지수는 가장 유명한 퍼지수 중의 하나이다. 두 삼각퍼지수 사이의 확장된 대수적 작용소에 대한 많은 결과들이 알려져 있다. 우리는 $\mathbb{R}$ 위에 정의된 삼각퍼지수를 $\mathbb{R}^2$ 위로 일반화하였다. 영역을 값으로 갖는 두 ${\alpha}$-절단 사이에 매개변수 작용소를 정의함으로서 $\mathbb{R}^2$ 위에서 정의된 두 삼각퍼지수에 대한 매개변수 작용소를 얻을 수 있었다.

• 대한전기학회:학술대회논문집
• /
• 대한전기학회 1993년도 하계학술대회 논문집 A
• /
• pp.489-491
• /
• 1993

Many optimization problem or multiple attribute, multiple alternative decision making problem may have fuzzy evaluation factors. In this case, fuzzy number operation technique is needed to evaluate and compare object functions which become fuzzy sets. Generally, fuzzy number operations can be defined by extension principle of fuzzy set theory, but it is tedious to do fuzzy number operations by using extension principle when the membership functions are defined by complex functions. Many fast methods which approximate the membership functions such as triangle, trapezoidal, or L-R type functions are proposed. In this paper, a fast fuzzy number operation method is proposed which do not simplify the membership functions of fuzzy numbers.

• 한국지능시스템학회:학술대회논문집
• /
• 한국퍼지및지능시스템학회 2000년도 춘계학술대회 학술발표 논문집
• /
• pp.5-8
• /
• 2000

Using the concept of a piecewise linear function, we present new operations for fuzzy arithmetic and then compare the operation based by the extension principle with the new operation.

• 대한수학회논문집
• /
• 제28권3호
• /
• pp.635-642
• /
• 2013

There are many results on the extended operations of two fuzzy numbers based on the Zadeh's extension principle. For the calculation, we have to use existing operations between two ${\alpha}$-cuts. In this paper, we define parametric operations between two ${\alpha}$-cuts which are different from the existing operations. But we have the same results as the extended operations of Zadeh's principle.