• 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.

• Communications of the Korean Mathematical Society
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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.

• Bulletin of the Korean Mathematical Society
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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.

• Journal of Families and Better Life
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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.

• Journal of KIISE:Software and Applications
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• 제30권11호
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• pp.1015-1024
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• 2003

In [1] we proposed a method to generate a test model (GFSM) from a set of scenarios of embedded software. Each scenario describes the interaction sequences for an external input event. Although these external events are generated and accepted alternatively and concurrently by embedded software, we considered only the alternative relations. In this paper, we describe an improved algorithm to generate GFSM from concurrent scenarios, and propose methods to reduce the number of transitions in the GFSM. The first is the synchronous interpretation of message passing instead of asynchronous one considering the real behavior of tasks in embedded software. The others apply the partial order techniques to the GFSM using independent regions. We apply the method to generate a reduced GFSM of embedded software running on a digital TV.

• Journal of the Korea Society of Computer and Information
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• 제3권4호
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• pp.49-54
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• 1998

AS it takes a considerable time for database operations for processing the condition part of active rule, the operations have an important effect on the efficiency of active database system. The processing time of operations should be minimized in order to improve the efficiency of system. The previous works are limited to basic database operations and the partial aggregate functions. In this paper, the processing technique using the structuralization and the state table of relations is suggested. The processing time for basic database operations can be reduced with the structuralization of relations to classification tree and the introduction of deletion information table. With the introduction of binary search tree and relation state table, the aggregate function which has a big of processing cost can be processed effectively and the function of the active database system can be maximized.