Similarity Computation between Fuzzy Set and Crisp Set with Similarity Measure Based on Distance

Lee, Sang H.; Park, Hyun-Jeong; Park, Wook Je

doi:10.1007/978-3-540-68636-1_77

Cited by 7 publications

(5 citation statements)

References 8 publications

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“…Then, it is possible to calculate the similarity measure between  x and fixed values. It was also verified that the calculation of similarity measure between fuzzy set and single datum [9]. Hence, similarity measure is applicable to determine the coalition vector of fuzzy game theory.…”

Section: Fuzzy Coaliation In Game Theorymentioning

confidence: 73%

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Information Quantification Application to Management with Fuzzy Entropy and Similarity Measure

Wang¹,

Lee²

2010

International Journal of Fuzzy Logic and Intelligent Systems

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Verification of efficiency in data management fuzzy entropy and similarity measure were discussed and verified by applying reliable data selection problem and numerical data similarity evaluation. In order to calculate the certainty or uncertainty fuzzy entropy and similarity measure are designed and proved. Designed fuzzy entropy and similarity are considered as dissimilarity measure and similarity measure, and the relation between two measures are explained through graphical illustration. Obtained measures are useful to the application of decision theory and mutual information analysis problem. Extension of data quantification results based on the proposed measures are applicable to the decision making and fuzzy game theory.

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Section: Fuzzy Coaliation In Game Theorymentioning

confidence: 73%

“…Whereas compared to those results of fuzzy entropy, similarity measure has explicit advantage for reliable data selecting. Similarity computation of single data with respect to the data set is also carried out by the similarity measure design [9].…”

Section: (B) Two Figures Seemed Clear To Identifymentioning

confidence: 99%

Information Quantification Application to Management with Fuzzy Entropy and Similarity Measure

Wang¹,

Lee²

2010

International Journal of Fuzzy Logic and Intelligent Systems

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“…The entropy of a fuzzy set has been studied by numerous researchers [5][6][7]. However, we have noted that a reliable result cannot be obtained by using only the fuzzy entropy value [5]. This controversial issue should be resolved by an altogether different approach; hence, we propose the similarity measure.…”

Section: Introductionmentioning

confidence: 98%

“…Entropy has been studied in several fields such as information theory, thermodynamics, and system theory. The entropy of a fuzzy set has been studied by numerous researchers [5][6][7]. However, we have noted that a reliable result cannot be obtained by using only the fuzzy entropy value [5].…”

Section: Introductionmentioning

confidence: 99%

Fault detection and isolation of DURUMI-II using similarity measure

2009

Self Cite

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This paper describes the flight test method for studying the primary control surface stuck condition and the combination stuck of the primary control. An aircraft must show controllability and trimmability under post-failure conditions. An aircraft is successfully tested under various fault conditions. It is recognized that a control surface fault is detected by monitoring the value of the coefficients related to the control surface deviation. The control surface stuck position is determined by comparing the trim value with the reference value. To detect and isolate the fault, an analysis that employs the real-time parameter estimation method is used. If the flight control system is reconfigured using online estimates of aircraft parameters from a real-time parameter estimation scheme, the reliability increases without the addition of sensors or additional cost.

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“…In our previous results, fuzzy entropies were designed and studied. The relations between the fuzzy entropy and the similarity measure were also discussed 10 . This fuzzy entropy can be formulated through similarity measure and vice versa.…”

Section: Introductionmentioning

confidence: 99%

Uncertainty Evaluation via Fuzzy Entropy for Multiple Facts

Lee

Ting

2013

ijecs

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The fuzzy entropy designed for multiple facts selection has been carried out in this work. The entropy for the fuzzy data with respect to a specified fact is designed through a distance measure method. The obtained fuzzy entropy is then applied for the selection from multiple facts. From the relevant fuzzy entropy, it is concluded that data uncertainty information is limited by the total fact of n-1. The bounded calculation of data uncertainty to each fact is proven for multiple facts, and the decision of fuzzy data to the certain fact among multiple facts has been considered with the assistance of fuzzy entropy calculation.

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Similarity Computation between Fuzzy Set and Crisp Set with Similarity Measure Based on Distance

Cited by 7 publications

References 8 publications

Information Quantification Application to Management with Fuzzy Entropy and Similarity Measure

Information Quantification Application to Management with Fuzzy Entropy and Similarity Measure

Fault detection and isolation of DURUMI-II using similarity measure

Uncertainty Evaluation via Fuzzy Entropy for Multiple Facts

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