• Title/Summary/Keyword: basic set

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PDE-PRESERVING PROPERTIES

  • PETERSSON HENRIK
    • 대한수학회지
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    • 제42권3호
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    • pp.573-597
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    • 2005
  • A continuous linear operator T, on the space of entire functions in d variables, is PDE-preserving for a given set $\mathbb{P}\;\subseteq\;\mathbb{C}|\xi_{1},\ldots,\xi_{d}|$ of polynomials if it maps every kernel-set ker P(D), $P\;{\in}\;\mathbb{P}$, invariantly. It is clear that the set $\mathbb{O}({\mathbb{P}})$ of PDE-preserving operators for $\mathbb{P}$ forms an algebra under composition. We study and link properties and structures on the operator side $\mathbb{O}({\mathbb{P}})$ versus the corresponding family $\mathbb{P}$ of polynomials. For our purposes, we introduce notions such as the PDE-preserving hull and basic sets for a given set $\mathbb{P}$ which, roughly, is the largest, respectively a minimal, collection of polynomials that generate all the PDE-preserving operators for $\mathbb{P}$. We also describe PDE-preserving operators via a kernel theorem. We apply Hilbert's Nullstellensatz.

ON FUZZY CLOSEDNESS IN LATTICE IMPLICATION ALGEBRAS

  • Jun, Young-Bae;Song, Seok-Zun;Roh, Eun-Hwan
    • Journal of applied mathematics & informatics
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    • 제11권1_2호
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    • pp.341-355
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    • 2003
  • The fuzzification of ${\bigotimes}-closed$ set is considered, and its basic properties we investigated. Characterizations of fuazzy ${\bigotimes}-closed$ set we given. Using a collection of ${\bigotimes}-closed$ sets with additional conditions, a fuzzy ${\bigotimes}-closed$ set is stated. The theory of fuzzy topological ${\bigotimes}-closed$ sets is discussed.

INTUITIONISTIC FUZZY EQUIVALENCE RELATIONS

  • HUR, KUL;JANG, SU YOUN;AHN, YOUNG SIN
    • 호남수학학술지
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    • 제27권2호
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    • pp.163-181
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    • 2005
  • We study some properties of intuitionistic fuzzy equivalence relations. Also we introduce the concepts of intuitionistic fuzzy transitive closures and level sets of an intuitionistic fuzzy relation and we investigate some of their properties.

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NEW APPROACHES OF INVERSE SOFT ROUGH SETS AND THEIR APPLICATIONS IN A DECISION MAKING PROBLEM

  • DEMIRTAS, NAIME;HUSSAIN, SABIR;DALKILIC, ORHAN
    • Journal of applied mathematics & informatics
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    • 제38권3_4호
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    • pp.335-349
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    • 2020
  • We present inverse soft rough sets by using inverse soft sets and soft rough sets. We study different approaches for inverse soft rough set and examine the relationships between them. We also discuss and explore the basic properties for these approaches. Moreover we develop an algorithm following these concepts and apply it to a decision-making problem to demonstrate the applicability of the proposed methods.

Fuzzy Sets and Decision Marking in Nuclear Science

  • Ruan, D.
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1993년도 Fifth International Fuzzy Systems Association World Congress 93
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    • pp.1058-1061
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    • 1993
  • Fuzzy set theory has been extensively researched in various fields of engineering. In nuclear science, a significant influence of fuzzy sets can be noticed. However, applications of fuzzy set theory to nuclear engineering is novel. In this paper, we start with a basic statement of the decision-making process based on fuzzy set theory, and then apply it to nuclear science with some practical applications (a fuzzy decision making in an accidental release to the atmosphere as well as in a problem of land suitability classification). We believe that the use of fuzzy set theory in nuclear science has potential advantages.

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A Study on the Automatic Pattern Development of Adult Male Basic Pattern Using 3D Body Scan Data

  • Jeong, Mi-E;Nam, Yun-Ja
    • 패션비즈니스
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    • 제11권3호
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    • pp.35-45
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    • 2007
  • This study examined how to create 2D basic pattern of individuals by means of 3-D body figure, which is to develop a flat of individual basic pattern directly from the 3-D body scan data of each subject using that of the upper body of a male adult. In terms of methodology, this study adopted 3D body scan data on system and body to make examinations in the following steps: 1. Standard point and line were set on human body, along with 3-D definition points(feature points). 2. PB was created by modifying horizontal and longitudinal section of scan data. 3. Ways to set reserve were established in the findings of PB planar development. Respective developed flat patterns were compared with pattern findings in previous studies by means of sensory evaluation. As a result, it was found that both system and body model are basic pattern and belong to appropriate pattern as semi-tight-fit basic pattern with overall appropriate tolerances. Thus, this study came to a conclusion that it is feasible and valid to develop theories for flat development as considered herein.

이제마의 감정조절법의 기본 개념들에 대한 고찰- 성정(性情), 중화(中和), 지인(知人)을 중심으로 - (A Study on the Basic Concepts of Lee Jema's Emotion Control Method - Focusing on nature-temperament(性情), Junghwa(中和), Jiin(知人) -)

  • 辛相元
    • 대한한의학원전학회지
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    • 제36권2호
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    • pp.1-22
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    • 2023
  • Objectives : In order to understand and apply Lee Jema's emotion control method, the basic concepts of his nature-temperament theory was examined. Lee's thoughts on emotion control, and the basic principles of his method were deduced from this process. Methods : The meaning and set-up of basic concepts in his nature-temperament theory as written in text such as the Donguisusebowon, Gyeokchigo, and Donguisusebowon Sasang Chobongwon were examined, and compared with similar concepts of Confucianism. Results & Conclusions : Out of concepts set by Lee, the Ae(哀)-No(怒)-Hui(喜)-Rak(樂) nature-temperament is the condition for emotion control. Junghwa(中和) is the aim of emotion control according to different stages of emotional expression, and Jiin(知人) is the precondition for emotion control. Lee's basic principles of emotion control could be summarized as following. First, it must be done with the aim for 'Goodness[善]' to be manifested. Second, it must be based on clear understanding of 'Insa(人事)'. Lastly, Hoyeonjigi(浩然之氣) and Hoyeonjiri(浩然之理) must be consistently cultivated for stable emotion control.

기본소득의 이상적 모형과 이행경로 (Feasible Paths to Realizing Korean Basic Income)

  • 김교성;백승호;서정희;이승윤
    • 한국사회복지학
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    • 제69권3호
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    • pp.289-315
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    • 2017
  • 전 세계적으로 기본소득 논의가 부상하면서 한국에서도 기본소득 논의가 확장되었다. 논의의 확장은 기본소득에 대한 다양한 고민들과 격렬한 찬반논쟁으로 이어졌다. 기본소득제의 도입을 고민하기 위해서는 한국사회에서 기본소득이 포함된 미래 복지국가의 이상적인 모습을 설계하는 작업이 선행되어야 한다. 본 논문에서는 기본소득(과 복지국가)의 이상적 모형을 설계하고 단계적 이행경로를 제시하였다. 이를 위해 먼저 기본소득의 주요한 속성을 논하고 이를 바탕으로 퍼지셋 이념형 분석을 실시하였다. 이를 통해 기본소득과 복지국가의 이상적인 모형을 설계하고, 이상적인 복지국가 실현을 위한 단계적 이행경로를 제시하였다. 이는 완전 기본소득을 지향한다고 할 때 우리 사회가 선택할 수 있는 실현가능하고 합리적인 선택지에 대한 실천적 고민이라 하겠다.

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베이직 바디스 입체재단법 비교 분석 (A Comparative Analysis of the Draping Method in Basic Bodice)

  • 김영미;장정아
    • 한국의류산업학회지
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    • 제20권6호
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    • pp.713-721
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    • 2018
  • This study aimed to develop a draping manual for the basic bodice to be available in colleges and industries. For this, draping methods mentioned in six different textbooks were comparatively analyzed. As for the research method, draping methods were compared by using training textbook, and basic bodices designed with muslin were assessed using the 5-point Likert scale. First, the draping methods of basic bodices were comparatively analyzed. The main baselines were set as the center front line, the center back line, the bust line, and the shoulder blade line. The position of dart was suggested based on the princess line, in both the front and the back. The value of dart was classified as a fixed size with any associated excess. The length of dart was set based on the bust point and shoulder blade point or a fixed size. The amount of ease was randomly set based on the fixed size, bust circumference, waist circumference, interscye length, armholes and shoulder lines, or the worker's intuition. Second, according to the appearance evaluation of the patterns, the following patterns obtained the highest scores: A pattern 2.5cm away from the B.P point of the waist dart and shoulder dart in the frontal appearance, a pattern of 0.6~0.7cm ease for the front armhole, a pattern with an ease of 1.2cm in the bust and 0.6cm in the waist. As for back appearance, the pattern in which the point of waist dart is 2~3cm from the bust line received the highest score.