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The epoch making paper of Zadeh [3] provided a mathematical theory for the development of models in many areas of sicnetific research in which fuzziness is a pervasive phenomenon [cf. 2, 51. In 1968, Zadeh [4] introduced the concept of a fuzzy event and studied its basic properties.
S. Khalili
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Probability measures of Fuzzy events
In probability theory [I], an event, A, is a member of a a-field, CY, of subsets of a sample space ~2. A probability measure, P, is a normed measure over a measurable space (Q, GY); that is, P is a real-valued function which assigns to every A in Gk’ a ...
L. Zadeh
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Fuzzy events and fuzzy logics in classical information systems
AbstractClassical information systems are introduced in the framework of measure and integration theory. The measurable characteristic functions are identified with the exact events while the fuzzy events are the real measurable functions whose range is contained in the unit interval.
G. Cattaneo
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This paper presents a Morphology Gradient (MG) filter-based method for detecting High Impedance Faults (HIFs) from non-HIF events. A MG filter is used to extract the statistical features of the current signal.
Kavaskar Sekar, Nalin Kant Mohanty
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A new approach for probability calculation of fuzzy events in Bayesian Networks
In this study, we propose an approach that incorporates the advantages of fuzzy events and fuzzy probabilities, as they have not been used together before in the literature for Bayesian Networks.
D. Içen, Derya Ersel
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A Two-Stage Multi-objective Programming Model to Improve the Reliability of Solution
Randomness is a common uncertainty encountered in practical multi-objectives decision-making. But it is always a challenge for decision-makers to process randomness in multi-objective programming problems.
Chenxia Jin +3 more
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Forecasting is a way to predict future events. One of the methods for forecasting is to use fuzzy time series Chen method. Fuzzy time series Chen is a development of fuzzy time series Song and Chissom method with more simplified arithmetic operations. In
ULYATIL AENI +2 more
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Assessment of gas and dust explosion in coal mines by means of fuzzy fault tree analysis
During the past decade, coal dust and gas explosions have been the most two serious types of disasters in China, threatening the lives of miners and causing significant losses in terms of national property. In this paper, an evaluation model of coal dust
Shulei Shi, Bingyou Jiang, Xiangrui Meng
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Hardware Reliability Analysis of a Coal Mine Gas Monitoring System Based on Fuzzy-FTA
The hardware reliability of a gas monitoring system was investigated using the fuzzy fault tree analysis method. A fault tree was developed considering the hardware failure of the gas monitoring system as a top event.
Jingtian Xu, Man Yang, Shugang Li
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On the Relation of Probability, Fuzziness, Rough and Evidence Theory [PDF]
Since the appearance of the first paper on fuzzy sets proposed by Zadeh in 1965, the relationship between probability and fuzziness in the representation of uncertainty has been discussed among many people.
Intan, Rolly
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