• Title/Summary/Keyword: fuzzy measure possibility

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RENEWAL AND RENEWAL REWARD THEORIES FOR T-INDEPENDENT FUZZY RANDOM VARIABLES

  • KIM, JAE DUCK;HONG, DUG HUN
    • Journal of applied mathematics & informatics
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    • v.33 no.5_6
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    • pp.607-625
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    • 2015
  • Recently, Wang et al. [Computers and Mathematics with Ap-plications 57 (2009) 1232-1248.] and Wang and Watada [Information Sci-ences 179 (2009) 4057-4069.] studied the renewal process and renewal reward process with fuzzy random inter-arrival times and rewards under the T-independence associated with any continuous Archimedean t-norm. But, their main results do not cover the classical theory of the random elementary renewal theorem and random renewal reward theorem when fuzzy random variables degenerate to random variables, and some given assumptions relate to the membership function of the fuzzy variable and the Archimedean t-norm of the results are restrictive. This paper improves the results of Wang and Watada and Wang et al. from a mathematical per-spective. We release some assumptions of the results of Wang and Watada and Wang et al. and completely generalize the classical stochastic renewal theorem and renewal rewards theorem.

A Note on Possibilistic Correlation

  • Hong, Dug-Hun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.9 no.1
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    • pp.1-3
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    • 2009
  • Recently, Carlsson, Full\acute{e}$r and Majlender [1] presented the concept of possibilitic correlation representing an average degree of interaction between marginal distribution of a joint possibility distribution as compared to their respective dispersions. They also formulated the weak and strong forms of the possibilistic Cauchy-Schwarz inequality. In this paper, we define a new probability measure. Then the weak and strong forms of the Cauchy-Schwarz inequality are immediate consequence of probabilistic Cauchy-Schwarz inequality with respect to the new probability measure.

Fault Detection and Diagnosis of Winding Short in BLDC Motors Based on Fuzzy Similarity

  • Bae, Hyeon;Kim, Sung-Shin;Vachtsevanos, George
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.9 no.2
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    • pp.99-104
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    • 2009
  • The turn-to-turn short is one major fault of the motor faults of BLDC motors and can appear frequently. When the fault happens, the motor can be operated without breakdown, but it is necessary to maintain the motor for continuous working. In past research, several methods have been applied to detect winding faults. The representative approaches have been focusing on current signals, which can give important information to extract features and to detect faults. In this study, current sensors were installed to measure signals for fault detection of BLDC motors. In this study, the Park's vector method was used to extract the features and to isolate the faults from the current measured by sensors. Because this method can consider the three-phase current values, it is useful to detect features from one-phase and three-phase faults. After extracting two-dimensional features, the final feature was generated by using the two-dimensional values using the distance equation. The values were used in fuzzy similarity to isolate the faults. Fuzzy similarity is an available tool to diagnose the fault without model generation and the fault was converted to the percentage value that can be considered as possibility of the fault.

Fault Diagnosis of Power Transformer by FCM and Euclidean Based Distance Measure (FCM과 유클리디언 기반 거리유사도에 의한 전력용 변압기의 고장진단)

  • Lee, Dae-Jong;Lee, Jong-Pil;Ji, Pyeong-Shik;Lim, Jae-Yoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.6
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    • pp.1007-1016
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    • 2007
  • In power system, substation facilities have become too complex and larger according to an extended power system. Also, customers require the high quality of electrical power system. However, some facilities become old and often break down unexpectedly. The unexpected failure may cause a break in power system and loss of profits. Therefore it is important to prevent abrupt faults by monitoring the condition of power systems. Among the various power facilities, power transformers play an important role in the transmission and distribution systems. In this research, we develop intelligent diagnosis technique for predicting faults of power transformer by FCM(Fuzzy c-means) and Euclidean based distance measure. The proposed technique make it possible to measures the possibility and degree of aging as well as the faults occurred in transformer. To demonstrate the validity of proposed method, various experiments are performed and their results are presented.

Motion Planning of an Autonomous Mobile Robot in Flexible Manufacturing Systems

  • Kim, Yoo-Seok-;Lee, Jang-Gyu-
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1993.06a
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    • pp.1254-1257
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    • 1993
  • Presented in this paper is a newly developed motion planning method of an autonomous mobile robot(MAR) which can be applied to flexible manufacturing systems(FMS). The mobile robot is designed for transporting tools and workpieces between a set-up station and machines according to production schedules of the whole FMS. The proposed method is implemented based on an earlier developed real-time obstacle avoidance method which employs Kohonen network for pattern classification of sonar readings and fuzzy logic for local path planning. Particulary, a novel obstacle avoidance method for moving objects using a collision index, collision possibility measure, is described. Our method has been tested on the SNU mobile robot. The experimental results show that the robot successfully navigates to its target while avoiding moving objects.

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Evaluation of Technical Efficiency with Fuzzy Data in the Korean RCC/RSC (퍼지환경하의 RCC/RSC별 운영효율성 평가)

  • Keum, Jong-Soo;Jang, Woon-Jae
    • Proceedings of KOSOMES biannual meeting
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    • 2006.11a
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    • pp.253-258
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    • 2006
  • This paper aims to measure and evaluates the technical efficiency with two inputs and four outputs with the use of fuzzy DEA(Data Envelopment Analysis) in Korean RCC(Rescue Co-ordination Center)/RSC(Rescue Sub-Center). Especially, this paper included not only the marine accident data which occurred for the analysis in particular but also the possibility data of a potential marine accident by an Environmental Stress value and analyzed the technical efficiency. And in this paper, asymmetrical triangular fuzzy number is presented about inputs/ outputs data and a procedure is suggest for it solution. The basic idea is to transform the fuzzy CCR model into a crisp linear programming problem by applying an alternative ${\alpha}-cut$ approach. Also this paper propose a ranking method for fuzzy RCC/RSC using presented fuzzy DEA approach. The result, when ${\alpha}-cut$ is 0.5, efficiency priority should be in order to YS, BS, MP, TS, JJ, PH, US, IC, SC, DR, GS, TA, WD RCC/RSC. Finally, Inefficiency TA, WD RCC/RSC have to benchmarking with reference sets.

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Evaluation of Operation Efficiency in the Korean SRRs using Ranking of DMUs with Fuzzy Data (순위결정 퍼지DEA법을 이용한 수색구조구역의 운영효율성 평가)

  • Jang, Woon-Jae;Keum, Jong-Soo
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.13 no.3
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    • pp.207-212
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    • 2007
  • This paper aims to measure and evaluate the technical efficiency with two inputs and four outputs with the use of fuzzy DEA in Korean RCC/RSC. Especially, this paper included not only the marine accident data which occurred for the analysis in particular but also the possibility data of a potential marine accident by an Environmental Stress value and analyzed the technical efficiency. And in this paper, asymmetrical triangular fuzzy number is presented about inputs/ outputs data and a procedure is suggested for it's solution. The basic idea is to transform the fuzzy CCR model into a crisp linear programming problem by applying an alternative ${\alpha}$-cut approach. Also this paper propose a ranking method for fuzzy RCC/RSC using presented fuzzy DEA approach. The result, when ${\alpha}$-cut is 0.5, efficiency priority is found in the order of YS, BS, MP, TY, JJ, PH, US, IC, SC, DH, GS, TA, WD RCC/RSC. Finally, Inefficiency TA, WD RCC/RSC have to benchmarking with reference sets.

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Establishment of Sewage Collection Measure and Charging Automation System (분뇨수거량 계량 및 청소요금시스템)

  • Hong, Dae-Seung;Lee, Jang-Hun;Kang, Sun-Hong;Yim, Hwa-Young
    • The Journal of the Korea institute of electronic communication sciences
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    • v.5 no.5
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    • pp.487-492
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    • 2010
  • In this study, our system that the volume of collected human waste in the septic tank truck is measured accurately and the fee of disposing human waste can be calculated by using measured results has been developed. The level sensor and its circuits which can measure the height of the tank, the hand-held system that can be used by workers easily and simply with micro-controller have been developed. Also, this system has been built in the receipt printing function to charge for disposal fee. Even when working on a sloping field, this system can measure the accurate collected volume of human waste in the tank using the X-Y axis angle sensor. The results of this study expect that the popular complaints that generated from human waste can be reduced, the exportation possibility of our specialized systems can acquire foreign currency.