Fuzzy Risk Analysis for a Production System Based on the Nagel Point of a Triangle

Akyar, Handan

doi:10.1155/2016/3080679

Cited by 16 publications

(8 citation statements)

References 28 publications

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“…The theory of fuzzy numbers [ 44 ] is based on the theory of fuzzy sets. It can well express information that is vague and imprecise and is studied in depth by researchers [ 45 , 46 , 47 , 48 ]. Corresponding definitions along with some basic notions on fuzzy sets are given as follows:…”

Section: Basic Concept Reviewedmentioning

confidence: 99%

Sensor Data Fusion with Z-Numbers and Its Application in Fault Diagnosis

Jiang

Xie

Zhuang

et al. 2016

Sensors

135

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Sensor data fusion technology is widely employed in fault diagnosis. The information in a sensor data fusion system is characterized by not only fuzziness, but also partial reliability. Uncertain information of sensors, including randomness, fuzziness, etc., has been extensively studied recently. However, the reliability of a sensor is often overlooked or cannot be analyzed adequately. A Z-number, Z = (A, B), can represent the fuzziness and the reliability of information simultaneously, where the first component A represents a fuzzy restriction on the values of uncertain variables and the second component B is a measure of the reliability of A. In order to model and process the uncertainties in a sensor data fusion system reasonably, in this paper, a novel method combining the Z-number and Dempster–Shafer (D-S) evidence theory is proposed, where the Z-number is used to model the fuzziness and reliability of the sensor data and the D-S evidence theory is used to fuse the uncertain information of Z-numbers. The main advantages of the proposed method are that it provides a more robust measure of reliability to the sensor data, and the complementary information of multi-sensors reduces the uncertainty of the fault recognition, thus enhancing the reliability of fault detection.

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Section: Basic Concept Reviewedmentioning

confidence: 99%

Sensor Data Fusion with Z-Numbers and Its Application in Fault Diagnosis

Jiang

Xie

Zhuang

et al. 2016

Sensors

135

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“…Facility location problem can be seen as a network optimization [55]. Many methods for optimization and decision-making under uncertainty, such as fuzzy sets [56][57][58], evidence theory [59], and D numbers [60][61][62], are applied to address this issue [63,64]. For the sake of simplicity, the problem is abstracted into a given undirected graph that consists of some network nodes.…”

Section: Problem Descriptionmentioning

confidence: 99%

Location of Facility Based on Simulated Annealing and “ZKW” Algorithms

Dong

Wang

Feng-hua

et al. 2017

Mathematical Problems in Engineering

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To cope with the facility location problem, a method based on simulated annealing and "ZKW" algorithm is proposed in this article. The method is applied to some real cases, which aims to deploy video content server at appropriate nodes in an undirected graph to satisfy the requirements of the consumption nodes with the least cost. Simulated annealing can easily find the optimum with less reliance on the initial solution. "ZKW" algorithm can find the shortest path and calculate the least cost from the server node to consumption node quickly. The results of three kinds of cases illustrate the efficiency of our method, which can obtain the optimum within 90 s. A comparison with Dijkstra and Floyd algorithms shows that, by using "ZKW" algorithm, the method can have large iteration with limited time. Therefore, the proposed method is able to solve this video content server location problem.

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“…Since Dempster-Shafer theory (DS theory) is proposed [4,21], it has been widely used in information fusion [2,9,14,19,27,31], decision making [5,7,20,30] and other fields [1,3,6,8,13,18,28]. However, Zadeh et al [26] proposed a numerical example to illustrate that it may result an illogical result when two bodies of evidences are in conflict.…”

Section: Introductionmentioning

confidence: 99%

A Novel Evidence Distance in Power Set Space

Zheng

Zou

Liu

et al. 2019

IAJIT

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Distance measure of evidence presented has been used to measure the similarity of two bodies of evidence. However, it is not considered that the probability distribution on a power set is able to assign to its subsets not only single elements. In this paper a novel approach is proposed to measure the distance of evidence. And some properties that the novel approach has, such as nonnegativity, symmetry, triangular inequality, downward compatibility and higher sensitivity, is proved. Numerical example and real application are used to strictly illustrate the effciency of the new distance.

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Fuzzy Risk Analysis for a Production System Based on the Nagel Point of a Triangle

Cited by 16 publications

References 28 publications

Sensor Data Fusion with Z-Numbers and Its Application in Fault Diagnosis

Sensor Data Fusion with Z-Numbers and Its Application in Fault Diagnosis

Location of Facility Based on Simulated Annealing and “ZKW” Algorithms

A Novel Evidence Distance in Power Set Space

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