• Title/Summary/Keyword: Meet and join

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The Properties of L-lower Approximation Operators

  • Kim, Yong Chan
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.14 no.1
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    • pp.57-65
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    • 2014
  • In this paper, we investigate the properties of L-lower approximation operators as a generalization of fuzzy rough set in complete residuated lattices. We study relations lower (upper, join meet, meet join) approximation operators and Alexandrov L-topologies. Moreover, we give their examples as approximation operators induced by various L-fuzzy relations.

ALGEBRAIC MEET CONTINUOUS LATTICE

  • Lee, Seung On;Yon, Yong Ho
    • Journal of the Chungcheong Mathematical Society
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    • v.20 no.4
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    • pp.401-409
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    • 2007
  • This paper is sequel to [3]. In this paper, we discuss some properties of an algebraic meet-continuous lattice and study a complete lattice which can be embedded into an algebraic meet-continuous lattice.

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INJECTIVE PARTIAL TRANSFORMATIONS WITH INFINITE DEFECTS

  • Singha, Boorapa;Sanwong, Jintana;Sullivan, Robert Patrick
    • Bulletin of the Korean Mathematical Society
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    • v.49 no.1
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    • pp.109-126
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    • 2012
  • In 2003, Marques-Smith and Sullivan described the join ${\Omega}$ of the 'natural order' $\leq$ and the 'containment order' $\subseteq$ on P(X), the semigroup under composition of all partial transformations of a set X. And, in 2004, Pinto and Sullivan described all automorphisms of PS(q), the partial Baer-Levi semigroup consisting of all injective ${\alpha}{\in}P(X)$ such that ${\mid}X{\backslash}X{\alpha}\mid=q$, where $N_0{\leq}q{\leq}{\mid}X{\mid}$. In this paper, we describe the group of automorphisms of R(q), the largest regular subsemigroup of PS(q). In 2010, we studied some properties of $\leq$ and $\subseteq$ on PS(q). Here, we characterize the meet and join under those orders for elements of R(q) and PS(q). In addition, since $\leq$ does not equal ${\Omega}$ on I(X), the symmetric inverse semigroup on X, we formulate an algebraic version of ${\Omega}$ on arbitrary inverse semigroups and discuss some of its properties in an algebraic setting.

FUZZY LATTICES AS FUZZY RELATIONS

  • CHON, INHEUNG
    • Korean Journal of Mathematics
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    • v.23 no.4
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    • pp.557-569
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    • 2015
  • We dene a fuzzy lattice as a fuzzy relation, develop some basic properties of the fuzzy lattice, show that the operations of join and meet in fuzzy lattices are isotone and associative, characterize a fuzzy lattice by its level set, and show that the direct product of two fuzzy lattices is a fuzzy lattice.

THE SPECTRAL DETERMINATIONS OF THE JOIN OF TWO FRIENDSHIP GRAPHS

  • Abdian, Ali Zeydi;Moez, Amirhossein Morovati
    • Honam Mathematical Journal
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    • v.41 no.1
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    • pp.67-87
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    • 2019
  • The main aim of this study is to characterize new classes of multicone graphs which are determined by their adjacency spectra, their Laplacian spectra, their complement with respect to signless Laplacian spectra and their complement with respect to their adjacency spectra. A multicone graph is defined to be the join of a clique and a regular graph. If n is a positive integer, a friendship graph $F_n$ consists of n edge-disjoint triangles that all of them meet in one vertex. It is proved that any connected graph cospectral to a multicone graph $F_n{\nabla}F_n=K_2{\nabla}nK_2{\nabla}nK_2$ is determined by its adjacency spectra as well as its Laplacian spectra. In addition, we show that if $n{\neq}2$, the complement of these graphs are determined by their adjacency spectra. At the end of the paper, it is proved that multicone graphs $F_n{\nabla}F_n=K_2{\nabla}nK_2{\nabla}nK_2$ are determined by their signless Laplacian spectra and also we prove that any graph cospectral to one of multicone graphs $F_n{\nabla}F_n$ is perfect.

A Study on the Positioning of the Korea Dental Hygienists Association(KDHA) - Based on Undergraduates in Dental Hygienics - (대한치과위생사협회의 포지셔닝에 관한 연구 -치위생과 재학생 대상-)

  • Kim, Bit-Na;Kwon, Hong-Min
    • Journal of dental hygiene science
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    • v.6 no.3
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    • pp.163-167
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    • 2006
  • The purpose of this study is to position the Korean Dental Hygienists Association(KDHA) for reserve dental hygienists as undergraduates, and thereby suggest KDHA's future potential businesses and its promising directions from comprehensive perspectives. To meet this goal, total 430 undergraduates in dental hygienics were asked to join questionnaire survey dating from November 28 to December 9, 2005. Then, the resulting data collected were analyzed using SPSS WIN 12.0. The results of data analysis can be outlined as follows: 1. Almost all of respondents(95.1%) recognized KDHA mainly via departmental faculty(37.7%), Internet(26.7%) and more. 2. It was found that KDHA's future potential businesses should be devoted primarily to promoting the right and benefit of dental hygienists, and secondly to business for their capability development. 3. In terms of joining the membership of KDHA, 73.0% of respondents showed desires to join KDHA certainly if they get relevant qualifications and 81.2% of respondents answered that it is necessary to pay membership fee to KDHA, if they join it. 4. A test about any possible associations with KDHA's positioning according to general characteristics showed that there were more or less significant differences in KDHA membership experience depending upon age(P = .022), and so was in the intention to join KDHA depending upon grade(P = .000), and in the membership fee payment depending upon both age(P = .000) and grade(P = .000) on statistical level.

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The Domestic Response Strategies for the Mutual Recognition Arrangement System to Greenhouse Gas (온실가스 국제상호인정 체계에 관한 국내대응방안)

  • Lee, Hae-Jung;Chung, Young-Bae
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.40 no.3
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    • pp.83-91
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    • 2017
  • Climate change has been identified as one with the greatest challenges facing nations, government, business and over future decades. Activities to reduce greenhouse gas emissions by the Kyoto Protocol, the international community has been in progress. Korea also has introduced the Emission trading system to reduce greenhouse emission from the supervision of the government. Greenhouse gases emissions quantity should be internationally recognized. Mutual Recognition Arrangement should be recognized as the same greenhouse gas emission. International recognition of domestic verification body of international mutual recognition is required. Efforts are needed to secure the equivalence between the emission rights through direct cooperation with the relative nation accreditation body. Early entry into the IAF/PAC GHG MLA is essential for demonstrating equivalence between greenhouse gas emissions. Emissions trading will also require connection to the EU ETS, California, USA, and Tokyo, Japan to link Emissions trading. In the case of establishing accreditation standards and accreditation criteria, it will be necessary to distinguish between the domestic Energy Target Management System and the Emission Trading System. Independent greenhouse gases verification bodies should be established to meet the requirements of IAF and PAC. It is necessary to revise the qualification criteria for the verification of the greenhouse gas verification body according to international standards requirements. It is necessary to support the role of accreditation bodies of domestic greenhouse gas verification bodies. It is required to join international organizations of international mutual recognition of international trade and the need for pilot projects to link greenhouse gas emissions. The core link to our emission trading system is called EU-ETS, and we will need to join the IAF/PAC GHG MLA GHG. The International Mutual Recognition Agreement (IAF) is expected to allow international interoperability of GHG emissions verification between EA and the PAC. By signing a PAC GHG MLA, it will need to be prepared to prepare for the pilot project to link the emission trading system.

Electrolytes - Quality at Point of Use

  • Heider U.;Jungnitz M.;Oesten R.
    • 한국전기화학회:학술대회논문집
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    • 1998.12a
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    • pp.153-166
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    • 1998
  • Lithium ion Batteries commercially available since the early nineties in Japan are going to be more and more important for portable electronic devices and even EV applications. Today several companies around the world are working hard to join to market for Lithium secondary batteries. Based on the growing interest for commercial use of batteries also the materials have to be reviewed in order to meet large scale production needs. The requirements especially for electrolytes for lithium batteries are extremely high. The solvents and the lithium salts should be of highest purity. So the supply of these chemicals including packaging, transportation and storage but also the handling in production are critical items in this field. Frolic impurities are very critical for LiPF6 based electrolytes. The influence of water is tremendous. But also the other protic impurities like alcoholes are playing an Important role for the electrolyte quality. The reaction of these species with LiPF6 leads to formation of HF which further reacts with cathode materials (spinel) and anode. To understand the role of the protic impurities more clearly the electrolyte was doped with such compounds and was analyzed for protic impurities and HF. These results which directly show the relation between impurities and quality will be presented and discussed. In addition several investigations on different packaging materials as well as methods to analyze and handle the sensititive material will be addressed. These questions which are only partly discussed in literature so far and never been investigated systematically cover some of the key parameters for understanding of the battery chemicals. This investigation and understanding however is of major importance for scientist and engineers in the field of Lithium ion and Lithium polymer batteries.

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A vision for the Welding Industry in the USA

  • Kim, Dong-Sub
    • Proceedings of the KWS Conference
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    • 2000.10a
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    • pp.13-18
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    • 2000
  • Welding is critical technique for the joining of materials in the nation's major Manufacturing industries. Since 1998, leaders in welding industry have defined a vision of the issues and opportunities that it will face in 2020. In developing this vision document, more than 25 senior managers and respected experts from various segments of the welding community met to begin a dialog about the future of the welding industry. They were brought together to develop a long-range business plan for their industry that would identify how it would meet the needs of manufacturers, of the marketplace, and of society in 2020. In essence, these decision makers created an ideal vision of the state of their industry in 20 years, and the strategy to reach it. Welding is a precise, reliable, and cost-effective, method for joining materials. No other technique is as widely used by manufacturers to join metals and alloys efficiently. Most of the familiar objects in modern society, form buildings and bridges, to vehicles, computers, and medical devices, could not be produced without the use of welding. Despite the importance of welding to the manufacturing industry, the leaders in this area felt that welding was not appreciated as much as it should be from the society. The welding industry consists of the “users” of welding techniques as well as the companies, universities and other organizations that industry look for improvements in their operations by 2020, and should find their interest addressed in this document. A major economic impact study co sponsored by AWS and EWI and supported by US Navy, State of Ohio, US Department of Commerce, and major companies was kicked off. This two-year study will determine the economic impact of welding on the United States economy. The objective of this study is to break a paradigm about welding-those of us who are heavily involved in welding, believe strongly that much of our gross domestic product is directly dependent on welding. Furthermore, continued advances in the field of welding are necessary to achieving further increases in productivity that makes our economy strong. Yet, despite intuition, anecdotal information, and fragmented analyses, the completing quantitative information that would proved the justification for strategic actions to further develop this critical field is not currently available.

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