• Korean Journal of Mathematics
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• 제17권4호
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• pp.361-374
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• 2009

We characterize a fuzzy partial order relation using its level set, find sufficient conditions for the image of a fuzzy partial order relation to be a fuzzy partial order relation, and find sufficient conditions for the inverse image of a fuzzy partial order relation to be a fuzzy partial order relation. Also we define a fuzzy lattice as fuzzy relations, characterize a fuzzy lattice using its level set, show that a fuzzy totally ordered set is a distributive fuzzy lattice, and show that the direct product of two fuzzy lattices is a fuzzy lattice.

• 대한수학회논문집
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• 제24권4호
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• pp.629-640
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• 2009

The aim of the present paper is to establish certain relations for partial mock theta functions and mock theta functions of order eight with other partial mock theta functions and mock theta functions of order two, six, eight and ten respectively.

• 대한수학회보
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• 제49권5호
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• pp.1015-1025
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• 2012

Let $[n]=\{1,2,{\cdots},n\}$, and let $PO_n$ be the partial order-preserving transformation semigroup on [n]. Let $$CPO_n=\{{\alpha}{\in}PO_n:({\forall}x,y{\in}dom{\alpha}),\;|x{\alpha}-y{\alpha}|{\leq}|x-y|\}$$ Then $CPO_n$ is a subsemigroup of $PO_n$. In this paper, we characterize Green's relations and the regularity of elements for $CPO_n$.

• Steel and Composite Structures
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• 제45권3호
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• pp.305-330
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• 2022

This article aims to investigate the static deflection and stress analysis of bi-directional functionally graded porous plate (BDFGPP) modeled by unified higher order kinematic theories to include the shear stress effects, which not be considered before. Different shear functions are described according to higher order models that satisfy the zero-shear influence at the top and bottom surfaces, and hence refrain from the need of shear correction factor. The material properties are graded through two spatial directions (i.e., thickness and length directions) according to the power law distribution. The porosities and voids inside the material constituent are described by different cosine functions. Hamilton's principle is implemented to derive the governing equilibrium equation of bi-directional FG porous plate structures. An efficient numerical differential integral quadrature method (DIQM) is exploited to solve the coupled variable coefficients partial differential equations of equilibrium. Problem validation and verification have been proven with previous prestigious work. Numerical results are illustrated to present the significant impacts of kinematic shear relations, gradation indices through thickness and length, porosity type, and boundary conditions on the static deflection and stress distribution of BDFGP plate. The proposed model is efficient in design and analysis of many applications used in nuclear, mechanical, aerospace, naval, dental, and medical fields.

• 가정과삶의질연구
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• 제8권2호
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• pp.147-162
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• 1990

The purpose of this review is to establish a groundwork for building a more comprehensive conceptual framework within which various aspects of sibling relations and factor related to sibling behaviors con be explained and integrated. Descriptions of the trends and shifts in sibling studies are made in terms of their themes, variables, basic perceptions and general approaches, and analyzes of current state of sibling researches are made with relation to the conceptual aspects of the studies, namely, their standpoints on the issues of sibling variations, the sources of variations, and basic units of analysis, their reliance or emphasis on different methods, and their interests in the mediation processes. It is recognized that research variables have been successively differentiated and used in diversified manners and family ecology and systems theory viewpoints have been incorporated into the understanding of sibling relations. A triad in its full meaning, rather than a dyad or a partial trial, is proposed as a unit of analysis in order for the researchers to be able to examine and describe the true interactional aspects of family relations involving sibling relations. The concepts of coexistence and interaction are proposed as key concepts os that the inconsistencies in findings, differing viewpoints, contradicting conceptions , and contrasting approaches can be interpreted and integrated into a unified system of theories on siblings. The coexistence of similarities and differences in reality. the inevitability of interaction between individual variables and environmental variables and between within-family environmental factors and our-of-family environmental factors, and the need for the joint use of intrafamilial and extrafamilial approach are acknowledged. Attention is also drawn to the mechanism characteristics and the directionality of the mediating processes of mediating variables between a variable and its effects.

• Journal of applied mathematics & informatics
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• 제31권5_6호
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• pp.853-867
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• 2013

In this paper a methodology is developed to solve a nonlinear fractional programming problem, whose objective function and constraints are interval valued functions. Interval valued convex fractional programming problem is studied. This model is transformed to a general convex programming problem and relation between the original problem and the transformed problem is established. These theoretical developments are illustrated through a numerical example.

• Journal of applied mathematics & informatics
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• 제37권5_6호
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• pp.459-467
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• 2019

In this work, via Orlicz functions, we have obtained a generalization of rough statistical convergence of asymptotically equivalent triple sequences a new non-matrix convergence method, which is intermediate between the ordinary convergence and the rough statistical convergence. We also have examined some inclusion relations related to this concept. We obtain the results are non negative real numbers with respect to the partial order on the set of real numbers.

• Korean Journal of Mathematics
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• 제32권2호
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• pp.195-211
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• 2024

In this paper, we introduce the concept of a fuzzy lattice ordered group, which is based on a fuzzy lattice that Chon developed in his paper "Fuzzy Partial Order Relations and Fuzzy Lattice". We will also discuss fuzzy lattice-ordered groups in detail, provide several results that are analogous to the classical theory of lattice-ordered groups, and characterize the relationship between a fuzzy lattice-ordered group using its level set and support. Moreover, we define the concepts of fl-subgroups, quotients, and cosets of fl-groups and obtain some fundamental results for these fuzzy algebraic structures.

• 한국정보과학회논문지:소프트웨어및응용
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• 제30권11호
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• pp.1015-1024
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• 2003

[1]에서 우리는 내장 소프트웨어의 시나리오들을 합성하여 테스트 모델 (GFSM)을 구하는 방법을 제안하였다. 이때 사용된 각각의 시나리오는 내장 소프트웨어가 받아들이는 외부 입력 사건에 대한 태스크들 사이의 상호작용을 기술하고 있다. 외부 입력 사건은 선택적 또는 병행적으로 발생할 수 있는데, [1]에서는 선택적인 관계만을 고려하였다. 본 논문에서는 병행적 시나리오들을 합성하여 GFSM을 생성할 때 발생하는 전이 수의 급격한 증가를 줄이기 위한 방법을 제안한다. 비동기적 메시지 전송을 수행하는 태스크들의 행위를 보존하도록 하면서 동기적으로 해석함으로써 GFSM의 전이 수를 줄이고, 또한 시나리오 기술에 사용된 MSC 명세로부터 독립 구역을 자동으로 찾아내어 인터리빙의 수를 줄이는 방법을 제안한다. 독립 구역은 최종 시스템의 상태에 변화를 주지 않는 메시지 전송들을 포함한다. 제안된 방법을 디지털 TV 소프트웨어의 시나리오에 적용하여 전이 수의 감소 효과를 얻을 수 있었다.

• 한국컴퓨터정보학회논문지
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• 제3권4호
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• pp.49-54
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• 1998

능동규칙의 조건부 처리에 사용되는 데이터베이스 연산들은 처리되는 시간들이 상당히 크기 때문에 능동 데이터베이스 시스템의 성능에 중요한 영향을 미친다. 그래서 조건부에서 발생되는 연산들의 처리 시간을 최소화 시켜야만 시스템의 성능을 높일 수 있다. 기존 연구의 처리 기법들은 기본 데이터베이스 연산과 한정된 일부 집계함수만을 효율적으로 처리하고 있다. 본 연구에서는 릴레이션의 구조화와 상태테이블을 사용한 처리 기법을 제시한다. 릴레이션들을 분류트리로 구조화시키고, 삭제 정보 테이블을 도입함으로써 기본 데이터베이스 연산의 처리시간을 줄일 수 있다. 또한 이진 검출트리와 릴레이션의 상태테이블을도입함으로써 처리비용이 큰 집계함수를 효율적으로 처리할 수 있어 능동 데이더베이스 시스템의 이용을 극대화시킬 수 있다.