• Title/Summary/Keyword: basic set

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PDE-PRESERVING PROPERTIES

  • PETERSSON HENRIK
    • Journal of the Korean Mathematical Society
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    • v.42 no.3
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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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    • v.11 no.1_2
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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
    • Honam Mathematical Journal
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    • v.27 no.2
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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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    • v.38 no.3_4
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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.
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1993.06a
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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
    • Journal of Fashion Business
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    • v.11 no.3
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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.

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) - (이제마의 감정조절법의 기본 개념들에 대한 고찰- 성정(性情), 중화(中和), 지인(知人)을 중심으로 -)

  • Shin Sang-won
    • Journal of Korean Medical classics
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    • v.36 no.2
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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.

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

  • Kim, Kyo-seong;Baek, Seungho;Seo, Jeonghee;Lee, Sophia Seungyoon
    • Korean Journal of Social Welfare
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    • v.69 no.3
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    • pp.289-315
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    • 2017
  • Debate on basic income expanded worldwide as well as in South Korea. However, the expansion of these discussion has led to vigorous arguments for and against the various claims of basic income. In order to introduce basic income in Korea, discussing on the picture of Korean welfare state which includes basic income is important. In this study, 'Ideal Model of Korean Basic Income (and Welfare State)'is discussed and theoretically constructed using fuzzy-set ideal type approach, and feasible paths in realizing Korean basic income are suggested. This study attempts to contribute to a practical discussion on taking feasible and reasonable path to realize full basic income in Korean welfare state.

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

  • Kim, Young-Mi;Jang, Jeong-Ah
    • Fashion & Textile Research Journal
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    • v.20 no.6
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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.