• Title/Summary/Keyword: complex measure

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On Choquet Integrals with Respect to a Fuzzy Complex Valued Fuzzy Measure of Fuzzy Complex Valued Functions

  • Jang, Lee-Chae;Kim, Hyun-Mee
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.10 no.3
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    • pp.224-229
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    • 2010
  • In this paper, using fuzzy complex valued functions and fuzzy complex valued fuzzy measures ([11]) and interval-valued Choquet integrals ([2-6]), we define Choquet integral with respect to a fuzzy complex valued fuzzy measure of a fuzzy complex valued function and investigate some basic properties of them.

SOME RESULTS ON p-DISTANCE AND SEQUENCE OF COMPLEX UNCERTAIN VARIABLES

  • Roy, Santanu;Saha, Sangeeta;Tripathy, Binod Chandra
    • Communications of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.907-916
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    • 2020
  • In this paper, we introduce the notion of p-distance in a complex uncertain sequence space. By using the concepts of p-distance, we give some theorems of convergence. Also, in a complex uncertain sequence space, we develope some properties on convergence in measure.

Grain Size Dependence of Ionic Conductivity of Polycrystalline Doped Ceria

  • Hong, Seong-Jae
    • The Korean Journal of Ceramics
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    • v.4 no.2
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    • pp.122-127
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    • 1998
  • Conductivities of polycrystalline ceria doped with several rare earth oxides were measured by AC admittance and DC four probe method. The conductions were separated into grain and grain boundary contributions using the complex admittance technique as well as grain size dependence of conductivity. The grain size dependence of polycrystalline conductivity, which can be adequately described by the so-called brick layer model, appears to give a more reliable measure of the grain conductivity compared to the complex admittance method. Polycrystalline resistivity(1/conductivity) increases linearly with the reciprocal of grain size. The intercept of resistivity vs. inverse grain size plot gives a measure of the grain resistivity and the slope gives a measure of the grain boundary resistivity. It was also noted that errors involved in the analysis of experimental data may be different between the complex admittance method and the impedance method. A greater resolution of the spectra was found in the complex admittance method, insofar as the present work is concerned, suggesting that the commonly used equivalent circuit may require re-evaluation.

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A Unified Measure of Association for Complex Data Obtained from Independence Tests (혼합자료에서 독립성 검정에 의한 연관성 측정)

  • 이승천;허문열
    • The Korean Journal of Applied Statistics
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    • v.16 no.1
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    • pp.151-167
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    • 2003
  • Although there exist numerous measures of association, most of them are lacking in generality in that they do not intend to measure the association between heterogeneous type of random variables. On the other hand, many statistical analyzes dealing with complex data sets require a very sophisticate measure of association. In this note, the p-value of independence tests is utilized to obtain a measure of association. The proposed measure of association have some consistency in measuring association between various types of random variables.

A unified measure of association for complex data obtained from independence tests (혼합자료에서 독립성검정에 의한 연관성 측정)

  • Lee, Seung-Chun;Huh, Moon Yul
    • The Korean Journal of Applied Statistics
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    • v.34 no.4
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    • pp.523-536
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    • 2021
  • Although there exist numerous measures of association, most of them are lacking in generality in that they do not intend to measure the association between heterogeneous type of random variables. On the other hand, many statistical analyzes dealing with complex data sets require a very sophisticate measure of association. In this note, the p-value of independence tests is utilized to obtain a measure of association. The proposed measure of association have some consistency in measuring association between various types of random variables.

Multicriteria Decision-Making Mehtodology Using Fuzzy Dependence Relations and Fuzzy Measure (퍼지종속관계 및 퍼지측도를 이용한 다기준평가방법)

  • 정택수;정규련
    • Journal of the Korean Institute of Intelligent Systems
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    • v.4 no.2
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    • pp.24-34
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    • 1994
  • Scientific involvement in complex decision-making system, characterized by multicriteria phenomena and fuzziness inherent in the structure of information, requires suitable methods. Especially, when powerful dependent criteria are introduced and their weighted value structure is ignorant, the systems are become more complex. This paper presents a fuzzy dependenced relation model and fuzzy measure model for this kind of multicriteria decision-making. The model we propose is based on fuzzy relation and fuzzy measure in fuzzy systems theory. For the application of the model, a numdrical example is quoted.

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Some Properties of Choquet Integrals with Respect to a Fuzzy Complex Valued Fuzzy Measure

  • Jang, Lee-Chae;Kim, Hyun-Mee
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.11 no.2
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    • pp.113-117
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    • 2011
  • In this paper, we consider fuzzy complex valued fuzzy measures and Choquet integrals with respect to a fuzzy measure of real-valued measurable functions. In doing so, we investigate some basic properties and convergence theorems.

Truncated Complex Moment Problem with Data in a Circle

  • Lee, Sang-Hun;Sim, Jung-Hui
    • Kyungpook Mathematical Journal
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    • v.45 no.2
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    • pp.241-247
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    • 2005
  • Let ${\gamma}{\equiv}\left{{\gamma}_{ij}\right}(0{\leq}i+j{\leq}2n)$ be a collection of complex numbers with ${\gamma}_{00}>0$ and ${\gamma}_{ji}={\bar{\gamma}}_{ij}$. The truncated complex moment problem for ${\gamma}$ entails finding a positive Borel measure ${\mu}$ supported in the complex plane ${\mathbb{C}}$ such that ${\gamma}_{ij}={\int}{\bar{z}}^{i}z^jd{\mu}(z)(0{\leq}i+j{\leq}2n)$. We solve this truncated moment problem with data in a circle and discuss the behavior of data in an extended moment matrix.

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Measurement of Complex Permittivity and Permeability for Powder-type Materials (분말재료의 복소 유전율 및 투자율 측정)

  • Park, Sang-Bok;Lee, Jang-Soo;Chong, Young-Seek;Cheon, Chang-Yul
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.12
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    • pp.2196-2201
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    • 2007
  • Materials used at microwave are usually used as a dielectric with a manufacturing purpose of printed circuit boards, etc. Complex permittivity of them can be measured from attenuation constant or propagation constant of a transmission line using a microstrip line with bulk type. But as the technique recently which can manufacture to have complex permittivity and permeability demanded using nonferrous metals for powder-type grows up, we need sensors and methods which can measure characteristics of powder-type materials. So far measuring methods of permittivity and permeability with waveguide or coaxial cable are used but they have faults which have a complex measurement method and are difficult to simultaneously measure permittivity and permeability. In this paper, a simultaneous measuring method of permittivity and permeability with 2-port coaxial cable and a new proposed calculation. The proposed 2-port coaxial cable is designed to be easy to insert materials and to have a wideband. We measure permittivity and permeability of magnetic powder(Ni-Fe-Mo, Ni-Fe) which reveal its characteristic at $0.3{\sim}1.3GHz$ to identify the proposed sensor.

Target event analysis using complex signal of instrumentation radar (계측 레이더 복소신호 분석에 의한 비행현상 계측)

  • Hwang, Gyu-Hwan;Seo, Il-Hwan;Ye, Sung-Hyuck
    • Journal of the Korea Institute of Military Science and Technology
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    • v.9 no.2 s.25
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    • pp.118-126
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    • 2006
  • As weapon systems are becoming advanced and intelligent, they are designed to have such events like ejecting sub-munitions. So it is continually requested to measure the event time and position exactly. We can measure the event time and position by analyzing the complex signal of the instrumentation radar in the time domain and can also obtain the spin rate of the target by analyzing the complex signal in the frequency domain.