• Title/Summary/Keyword: set theory

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Nonlinear vibration of Mindlin plate subjected to moving forces including the effect of weight of the plate

  • Wang, Rong-Tyai;Kuo, Nai-Yi
    • Structural Engineering and Mechanics
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    • v.8 no.2
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    • pp.151-164
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    • 1999
  • The large deflection theory of the Mindlin plate and Galerkin's method are employed to examine the static responses of a plate produced by the weight of the plate, and the dynamic responses of the plate caused by the coupling effect of these static responses with a set of moving forces. Results obtained by the large deflection theory are compared with those by the small deflection theory. The results indicate that the effect of weight of the plate increases the modal frequencies of the structure. The deviations of dynamic transverse deflection and of dynamic bending moment produced by a moving concentrated force between the two theories are significant for a thin plate with a large area. Both dynamic transverse deflection and dynamic bending moment obtained by the Mindlin plate theory are greater than those by the classical plate.

H-FUZZY SEMITOPOGENOUS PREOFDERED SPACES

  • Chung, S.H.
    • Communications of the Korean Mathematical Society
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    • v.9 no.3
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    • pp.687-700
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    • 1994
  • Throughout this paper we will let H denote the complete Heyting algebra ($H, \vee, \wedge, *$) with order reversing involution *. 0 and 1 denote the supermum and the infimum of $\emptyset$, respectively. Given any set X, any element of $H^X$ is called H-fuzzy set (or, simply f.set) in X and will be denoted by small Greek letters, such as $\mu, \nu, \rho, \sigma$. $H^X$ inherits a structure of H with order reversing involution in natural way, by definding $\vee, \wedge, *$ pointwise (sam notations of H are usual). If $f$ is a map from a set X to a set Y and $\mu \in H^Y$, then $f^{-1}(\mu)$ is the f.set in X defined by f^{-1}(\mu)(x) = \mu(f(x))$. Also for $\sigma \in H^X, f(\sigma)$ is the f.set in Y defined by $f(\sigma)(y) = sup{\sigma(x) : f(x) = y}$ ([4]). A preorder R on a set X is reflexive and transitive relation on X, the pair (X,R) is called preordered set. A map $f$ from a preordered set (X, R) to another one (Y,T) is said to be preorder preserving (inverting) if for $x,y \in X, xRy$ implies $f(x)T f(y) (resp. f(y)Tf(x))$. For the terminology and notation, we refer to [10, 11, 13] for category theory and [7] for H-fuzzy semitopogenous spaces.

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A Study on Quality Improvement of Website Services (홈페이지 서비스 품질 개선에 관한 연구)

  • Park, Jun Hyun;Jun, Min Soo;Kwak, Choonjong
    • Journal of Korean Society for Quality Management
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    • v.40 no.4
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    • pp.559-576
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    • 2012
  • Purpose: This research aims at quality improvement of website services on the internet. Methods: SERVQUAL is redefined for web environments as sixteen statements in five dimensions to identify user requirements for websites and measure their importance ratings. Quality Function Deployment (QFD) is used to integrate user requirements into service development for websites so that management and design guidelines can be obtained for user-oriented websites. Fuzzy set theory is introduced to resolve the ambiguity and subjectivity of user requirements in the House of Quality (HOQ). Results: The priorities of design characteristics are extracted from the Fuzzy QFD for University websites. Conclusion: It is expected to provide quality services in less time with less effort, if the results of the Fuzzy QFD are used to provide services in a strategic way under limited resources.

The accuracy decision for longitude and latitude of GPS receiver using fuzzy algorithm

  • Yi, Kyung-Woong;Choi, Han-Soo
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.2382-2386
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    • 2003
  • The Global Positioning System(GPS) is a satellite based precise positioning system avaliable worldwide. The GPS have many error sources. The earth's ionosphere and atmosphere cause delays in the GPS signal that translate into position errors. Some errors can be factored out using mathematics and modeling. The configuration of the satellites in the sky can magnify other errors. The problem of accuracy on GPS measurement data can be meaningful. In this study, we propose the method for GPS positioning accuracy improvement. The FUZZY set theory on PDOP(Position Dilution of Precision) and SNR(Signal to Noise Ratio) provide improved for measured positioning data. The accuracy of positioning has been improved by selecting data from original using the FUZZY set theory on PDOP and SNR.

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A Study on the Voltage - Reactive Power Control Considering Fuzziness (FUZZY정도를 고려한 전압-무효전력제어에 관한 연구)

  • Song, K.Y.;Cho, J.W.;Lee, H.Y.
    • Proceedings of the KIEE Conference
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    • 1991.11a
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    • pp.31-34
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    • 1991
  • This paper presents a voltage-reactive power control algorithm considering fuzziness. In this paper, a coordination technique based on fuzzy set theory is applied for system loss-voltage compromises. Here, we introduce membership functions to measure the adaptability of real power loss of transmission line and the deviation of load bus voltage from the constraints. Then the optimization of problem is solved by a linear programming technique considering the fuzzy set theory. The objective is a degree of satisfaction about the fuzzy decision-making function. The effectiveness of this algorithm has been verified by testing on sample systems.

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A Study on the Development of National Composite S&T Indices and Their Application (국가종합과학기술지수의 도출과 적용: 종합지수를 통한 주요 선진국과의 국가과학기술활동 비교)

  • Mun, Hye-Seon;Lee, Jeong-Dong
    • Journal of Technology Innovation
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    • v.13 no.1
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    • pp.55-71
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    • 2005
  • We attempt to make three composite Science and Technology (S&T) indices for overall understanding of national S&T by aggregation of various S&T indicators using fuzzy set theory and then use these Indices to compare the S&T activities of Korea with those of five developed countries (France, Germany, Japan, the U.K., the U.S.). The overall results suggest that although the S&T indices of Korea still lag behind those of developed countries, they have grown rapidly and continuously and, as a result, the S&T gaps between Korea and developed countries have narrowed. However, the capability of Korea to transform its R&D input into final economic output has not yet matched that of developed countries.

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Design of Rule-Based Controller for DC Motor using Fuzzy Reasoning (퍼지추론을 이용한 DC모터의 규칙기반 제어기 설계)

  • Kim, S.J.;Choi, H.S.;Choi, J.S.;Kim, Y.C.;Cho, H.
    • Proceedings of the KIEE Conference
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    • 1991.07a
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    • pp.703-707
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    • 1991
  • During the past several years, fuzzy control has emerged as one of the most active and fruitful areas for reaserch in the applications of fuzzy set theory. A key component of the fuzzy controller is a rule-based system which provides a linguistic description of control strategy. This strategy has the form of a collection of fuzzy conditional statements which are implemented and manipulated using fuzzy set theory. In this paper, we propose the rule-based controller for DC motor speed control. The result of performance compare with PID controller to verify the validity of proposed algorithm.

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Implementation and Performance Evaluation of a Firm's Green Supply Chain Management under Uncertainty

  • Lin, Yuanhsu;Tseng, Ming-Lang;Chiu, Anthony S.F.;Wang, Ray
    • Industrial Engineering and Management Systems
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    • v.13 no.1
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    • pp.15-28
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    • 2014
  • Evaluation of the implementation and performance of a firm's green supply chain management (GSCM) is an ongoing process. Balanced scorecard is a multi-criteria evaluation concept that highlights implementation and performance measures. The literature on the framework is abundant literature but scarce on how to build a hierarchical framework under uncertainty with dependence relations. Hence, this study proposes a hybrid approach, which includes applied interpretive structural modeling to build a hierarchical structure and uses the analytic network process to analyze the dependence relations. Additionally, this study applies the fuzzy set theory to determine linguistic preferences. Twenty dependence criteria are evaluated for a GSCM implemented firm in Taiwan. The result shows that the financial aspect and life cycle assessment are the most important performance and weighted criteria.

A Semantics for KADS Model of Expertise (KADS 지식 모델의 의미론)

  • 전윤재
    • Journal of the Korean Operations Research and Management Science Society
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    • v.19 no.2
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    • pp.57-73
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    • 1994
  • KADS is currently a best known methodology for expert system development is Europe. KADS world sees the expert system development as a modeling activity and uses models to control complexity of the development process. Four layers KADS expertise model is used to describe expert knowledge. But this expertise model in high abstraction level is conceptual and not formalized. This paper has formalized KADS expertise model using set theory and mathematical semantics combined in order to reduce the ambiguity of informal models of expertise, provide a precise means of communication about the model of expertise and point out incompleteness and inconsistency of the model of expertise. Instead of first order predicate calculs, set theory and mathematical semantics are used because they are a more general and have compositive quality.

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Measurement of Service Quality Using Fuzzy Set Theory and Analytic Hierarchy Process (Fuzzy Set Theory와 Analytic Hierarchy Process를 이용한 서비스품질 측정)

  • Lee, Hoe-Sik;Yoo, Choon-Burn;Choi, Yong-Jung;Jung, Hae-Jun;Kim, Yu-Ra
    • Proceedings of the Korean Society for Quality Management Conference
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    • 2006.11a
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    • pp.236-242
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    • 2006
  • 세계적으로 각 분야에서 SERVQUAL 모형과 SERVPERF 모형 등을 이용한 서비스품질에 대한 측정과 관련된 연구들이 많이 수행되어 오고 있지만 서비스품질을 계량화시키기 위한 연구는 활성화되고 있지 못하는 상황이다. 따라서, 본 연구의 목적은 불확실하고 주관적인 환경에서 서비스품질을 객관성있게 측정하고 계량화시키기 위해서 L.A. Zadeh가 제안한 퍼지이론의 Triangular Fuzzy Number(TFN) 와 T.L. Saaty가 제안한 Analytic Hierarchy Process (AHP)를 이용하여 서비스품질을 측정하기 위한 방법을 제안하는 것이고, 본 연구를 통해서 조직의 제한적 자원으로 고객만족 극대화를 실현하기 위한 경쟁우위적 전략의 일환으로써 서비스품질을 제고시키는데 효율적이며 효과적인 의사결정안이 도출될 것으로 사료된다.

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