• 제목/요약/키워드: $T_W$-norm

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Weighted average of fuzzy numbers under TW(the weakest t-norm)-based fuzzy arithmetic operations

  • Hong, Dug-Hun;Kim, Kyung-Tae
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제7권1호
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    • pp.85-89
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    • 2007
  • Many authors considered the computational aspect of sup-min convolution when applied to weighted average operations. They used a computational algorithm based on a-cut representation of fuzzy sets, nonlinear programming implementation of the extension principle, and interval analysis. It is well known that $T_W$(the weakest t-norm)-based addition and multiplication preserve the shape of L-R type fuzzy numbers. In this paper, we consider the computational aspect of the extension principle by the use of $T_W$ when the principle is applied to fuzzy weighted average operations. We give the exact solution for the case where variables and coefficients are L-L fuzzy numbers without programming or the aid of computer resources.

Algebraic semantics for some weak Boolean logics

  • Yang, Eun-Suk
    • 논리연구
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    • 제9권2호
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    • pp.1-30
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    • 2006
  • This paper investigates algebraic semantics for some weak Boolean (wB) logics, which may be regarded as left-continuous t-norm based logics (or monoidal t-norm based logics (MTLs)). We investigate as infinite-valued logics each of wB-LC and wB-sKD, and each corresponding first order extension $wB-LC\forall$ and $wB-sKD\forall$. We give algebraic completeness for each of them.

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Cpk Index Estimation under Tw (the weakest t-norm)-based Fuzzy Arithmetic Operations

  • Hong, Dug-Hun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제8권3호
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    • pp.170-174
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    • 2008
  • The measurement of performance of a process considering both the location and the dispersion of information about the process is referred to as the process capacity indices (PCIs) of interest, $C_{pk}$. This information is presented by the mean and standard deviation of the producing process. Linguistic variables are used to express the evaluation of the quality of a product. Consequently, $C_{pk}$ is defined with fuzzy numbers. Lee [Eur. J. Oper. Res. 129(2001) 683-688] constructed the definition of the $C_{pk}$ index estimation presented by fuzzy numbers and approximated its membership function using the "min" - norm based Zadeh's extension principle of fuzzy sets. However, Lee's result was shown to be invalid by Hong [Eur. J. Oper. Res. 158(2004) 529-532]. It is well known that $T_w$ (the weakest t-norm)-based addition and multiplication preserve the shape of L-R fuzzy numbers. In this paper, we allow that the fuzzy numbers are of L-R type. The object of the present study is to propose a new method to calculate the $C_{pk}$ index under $T_w-based$ fuzzy arithmetic operations.

WEIGHTED NORM ESTIMATES FOR THE DYADIC PARAPRODUCT WITH VMO FUNCTION

  • Chung, Daewon
    • 대한수학회보
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    • 제58권1호
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    • pp.205-215
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    • 2021
  • In [1], Beznosova proved that the bound on the norm of the dyadic paraproduct with b ∈ BMO in the weighted Lebesgue space L2(w) depends linearly on the Ad2 characteristic of the weight w and extrapolated the result to the Lp(w) case. In this paper, we provide the weighted norm estimates of the dyadic paraproduct πb with b ∈ VMO and reduce the dependence of the Ad2 characteristic to 1/2 by using the property that for b ∈ VMO its mean oscillations are vanishing in certain cases. Using this result we also reduce the quadratic bound for the commutators of the Calderón-Zygmund operator [b, T] to 3/2.

ON SPACES OF WEAK* TO WEAK CONTINUOUS COMPACT OPERATORS

  • Kim, Ju Myung
    • 대한수학회보
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    • 제50권1호
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    • pp.161-173
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    • 2013
  • This paper is concerned with the space $\mathcal{K}_{w^*}(X^*,Y)$ of $weak^*$ to weak continuous compact operators from the dual space $X^*$ of a Banach space X to a Banach space Y. We show that if $X^*$ or $Y^*$ has the Radon-Nikod$\acute{y}$m property, $\mathcal{C}$ is a convex subset of $\mathcal{K}_{w^*}(X^*,Y)$ with $0{\in}\mathcal{C}$ and T is a bounded linear operator from $X^*$ into Y, then $T{\in}\bar{\mathcal{C}}^{{\tau}_{\mathcal{c}}}$ if and only if $T{\in}\bar{\{S{\in}\mathcal{C}:{\parallel}S{\parallel}{\leq}{\parallel}T{\parallel}\}}^{{\tau}_{\mathcal{c}}}$, where ${\tau}_{\mathcal{c}}$ is the topology of uniform convergence on each compact subset of X, moreover, if $T{\in}\mathcal{K}_{w^*}(X^*, Y)$, here $\mathcal{C}$ need not to contain 0, then $T{\in}\bar{\mathcal{C}}^{{\tau}_{\mathcal{c}}}$ if and only if $T{\in}\bar{\mathcal{C}}$ in the topology of the operator norm. Some properties of $\mathcal{K}_{w^*}(X^*,Y)$ are presented.

Increases of Antibiotic Resistance in Excessive Use of Antibiotics in Smallholder Dairy Farms in Northern Thailand

  • Suriyasathaporn, W.;Chupia, V.;Sing-Lah, T.;Wongsawan, K.;Mektrirat, R.;Chaisri, W.
    • Asian-Australasian Journal of Animal Sciences
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    • 제25권9호
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    • pp.1322-1328
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    • 2012
  • Antibiotic resistance patterns of bacterial isolates from both quarter teat-tip swabs and their quarter milk samples were evaluated in smallholder dairy farms in northern Thailand with excessive use of antibiotics (HIGH) compared with normal use (NORM). Results from teat-tip swab samples showed that the percentage of Bacillus spp. resistance to overall antibiotics was significantly lower in the NORM group than that of the HIGH group, whereas, the resistance percentage of coagulase-negative staphylococci in the NORM group was higher than that of the HIGH one. The overall mastitis-causing bacteria isolated from milk samples were environmental streptococci (13.8%), coagulase-negative staphylococci (9.9%), Staphylococcus aureus (5.4%), and Corynebacterium bovis (4.5%). Both staphylococci and streptococci had significantly higher percentages of resistance to cloxacillin and oxacillin in the HIGH group when compared to the NORM one. An occurrence of vancomycin-resistant bacteria was also observed in the HIGH group. In conclusion, the smallholder dairy farms with excessive use of antibiotics had a higher probability of antibiotic-resistant pattern than the farms with normal use.

송전용 자기재 애자의 열화시험 평가기술 (Assessment Technique and Aging Test for EHV Porcelain Insulators)

  • 한세원;조한구;박기호;정길조;이동일;최인혁;신태우
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2002년도 추계학술대회 논문집 Vol.15
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    • pp.480-483
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    • 2002
  • This paper through shift norm of insulator and research by accident prevention countermeasure special skill authoritativeness verification of insulator and Long Term aging factor for power transmission analysis and evaluate and prove quality of insulator wish to. Assessment technique by aging of own porcelain insulator observes ageing factor for reciprocity comparison through several examinations. Through cool and heat accelerated Aging test, can measure the leakage current change amount that ensue to each Cycle. Can confirm own blazing fire factor as distribution freshness that ensue in HRB Test's hardness value.

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The Software Development for Diffusion Tensor Imaging

  • Song, In-Chan;Chang, Kee-Hyun;Han, Moon-Hee
    • 대한자기공명의과학회:학술대회논문집
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    • 대한자기공명의과학회 2001년도 제6차 학술대회 초록집
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    • pp.112-112
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    • 2001
  • Purpose: We developed the software for diffusion tensor imaging and evaluated its feasibility in norm brains. Method: Five normal volunteers, aged from 25 to 29 years, were examined on a 1.5 T MR system. the diffusion tensor pulse sequence used a SE-EPI with 6 diffusion gradie directions of (1, 1, 0), (-1, 1,0), (1, 0, 1), (-1, 0, 1), (0, 1, 1), (0, 1, -1) and also with no diffusion gradient. A b-factor of 500 sec/mm2 was used. Measurement parameter were as follows; TR/TE=10000 ms/99 ms, FOV=240 mm, matrix=128$\times$128, slice thickness/gap=6 mm/0 mm, bandwidth=91 kHz and the number of total slices=20. Four repeated axial diffusion images were averaged for diffusion tensor imaging. A total scan 11 of 4 min 30 sec was used. Six full diffusion tensor components of Dxx, Dyy, Dzz, Dxy, Dxz and Dyz were obtained using two-point linear regression model from 7 diffusion-weight images at each pixel and fractional anisotropy and lattice index images was estimated fr their eigenvectors and eigenvalues. Our program was written on a platform of IDL. W evaluated the qualities of fractional anisotropy and lattice index images of normal brains a knew whether our software for diffusion tensor imaging may be feasible.

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한방기공체조가 두뇌력, 심박변이율, 생혈액형태에 미치는 영향 (Effect of the Oriental Medicine Gi-Gong Exercise on the Brain Power, HRV, Live Blood Condition in the Youth)

  • 이정원;김이순;김경철
    • 동의생리병리학회지
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    • 제21권1호
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    • pp.126-135
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    • 2007
  • This study was conducted to identify the effects of the oriental medicine Qigong Exercise on the brain power, HRV, pulsation, live blood condition among young boys and girls. The study was performed with two group(control group and experimental group) in a pre-test/post-test design. The subjects were 44 young boys and girls selected by a some middle school in Busan. The oriental medicine Qigong Exercise program consists of 80-minute sessions three times a week over 5 months. All of the subjects were examined on the congnition assessment tool, stress assessment tool, oriental medicine pulsation 3-D MAC, live blood condition analyzer Prior and post surveys were measured before and after the experiment. In the cognition assessment, the amplitude of ERS were increased afer Qigong Exercise. The Success and the Concentration were significantly increased afer Qigong Exercise, the Error was significantly decreased afer Qigong Exercise. The Cognition strength was significantly increased, but the Reponse time was not significantly decreased afer Qigong Exercise. And the Workload was not significantly decreased, the Total Score was not significantly increased afer Qigong Exercise. Among the stress assessment, RRV tachogram's ‘mean RR’ was significantly increased, ‘mean HRV’ was significantly decreased afer Qigong Exercise. SDNN was not significantly increased, Complexity was not significantly increased afer Qigong Exercise. And TP(RRV power's total power) was not significantly increased, VLF and HF was significantly increased, and LF was significantly decreased afer Qigong Exercise. ANS's norm LF was not significantly decreased, but norm HF was significantly increased afer Qigong Exercise. In the RRV's Phase Plot, RMSSD and SDSD were not significantly increased, pnn50 was not significantly decreased afer Qigong Exercise. On the whole, Parasympathetic Activity and Stress Endurance were significantly increased, but Cardiac Activity and Physical Arousal were not significantly increased afer Qigong Exercise. Cardiac Aging was not significantly decreased afer Qigong Exercise. Sympathetic Activity, Autonomic Nervous System Balance and Heart-load were not significantly decreased afer Qigong Exercise. In the pulsation, press power was increased(15%), and w/t(pressurization time / pulsation time) was decreased(20%) afer Oigong Exercise. And the live blood condition was not changed afer Qigong Exercise. As mentioned above; the oriental medicine Qigong Exercise program was identified the effects of the inspiration of the brain power, heart rate and anti-stress.

한국문화에서 주관안녕에 영향을 미치는 사회심리 요인들 (Correlates of Subjective Well-being in Korean Culture)

  • 한덕웅
    • 한국심리학회지 : 문화 및 사회문제
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    • 제12권5호_spc
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    • pp.45-79
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    • 2006
  • 필자와 공동연구자들(2002)이 선행연구에서 개발한 주관안녕척도를 사용하여 한국문화에서 주관안녕에 영향을 미치는 변인들을 알아낸 연구 결과들을 개관하고, 국내외 연구들과 비교하여 시사점을 논의하고, 장래 연구할 과제들도 제안하였다. 먼저 주관안녕에 영향을 미치는 선행요인들로 ① 개인차와 인구통계 변인들, ② 개인과정 요인들, ③ 대인과정 요인들 및 ④ 한국문화의 요인으로 사회규범에 따른 행동을 다룬 연구 결과들을 개관했다. 또한 노인을 대상으로 주관안녕이 동시점에서 신체건강의 예측에 기여하는 수준과 아울러 1년 이상이 경과한 시점에서 종단적으로 신체건강이나 생사에 어떤 영향을 미치는지도 알아냈다. 본 논문은 한국문화에서 필자와 공동연구자들이 수행한 실증연구의 결과들과 연결시켜서 주관안녕을 연구하는데 따르는 이론, 방법 및 과제들을 구체적으로 논의함으로써 장차 문화비교 연구와 아울러 국내 연구에 시사점들을 제시한데 의의가 있다.