Determining Basic Probability Assignment Based on the Improved Similarity Measures of Generalized Fuzzy Numbers

Jiang, Wen; Yan, Yang; Luo, Yu; Qin, Xin

doi:10.15837/ijccc.2015.3.1656

Cited by 82 publications

(59 citation statements)

References 23 publications

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“…Expert 1 evaluated it as ''significant,'' which can be represented as S(6, 100%); Expert 2 evaluated it as ''major,'' which can be represented as S(7, 100%). In this case, the discernment frames can be constructed as Y ij = f5, 6, 7, 8g, and the modified belief function can be obtained using equation (20) …”

Section: Ratingmentioning

confidence: 99%

A modified method for risk evaluation in failure modes and effects analysis of aircraft turbine rotor blades

Jiang

Xie

Wei

et al. 2016

Advances in Mechanical Engineering

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Failure mode and effects analysis is an important methodology, which has been extensively used to evaluate the potential failures, errors, or risks in a system, design, or process. The traditional method utilizes the risk priority number ranking system. This method determines the risk priority number by multiplying failure factor values. Dempster-Shafer evidence theory has been combined with failure mode and effects analysis due to its effectiveness in dealing with uncertain and subjective information. However, since the risk evaluation of different experts may be different and some even conflict with each other, Dempster's combination rule may become invalid. In this article, for better performance of application of evidence theory in failure mode and effects analysis, a modified method is proposed to reassign the basic believe assignment taking into consideration a reliability coefficient based on evidence distance. We illustrate several numerical examples and use the modified method to obtain the risk priority numbers for risk evaluation in failure modes of aircraft engine rotor blades. The results show that the proposed method is more reasonable and effective for real applications. KeywordsDempster-Shafer evidence theory, failure mode and effects analysis, risk priority number, basic believe assignments, reliability coefficient, aircraft turbine rotor blades Date

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Section: Ratingmentioning

confidence: 99%

A modified method for risk evaluation in failure modes and effects analysis of aircraft turbine rotor blades

Jiang

Xie

Wei

et al. 2016

Advances in Mechanical Engineering

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“…Dempster's combination rule which has some interesting mathematical properties, such as associativity and commutativity, plays an important role in evidence theory [4]. Now the evidence theory is utilized widely in many fields, such as decision making [4][5][6], supplier selection [7,8], reliability analysis [9][10][11], and optimization under uncertain environment [12][13][14]. Due to the complexity in fault diagnosis [15,16], sensor data fusion based on evidence theory in these fields is also heavily studied [17,18].…”

Section: Introductionmentioning

confidence: 99%

Weighted Evidence Combination Based on Distance of Evidence and Entropy Function

Wang

Xiao

Deng

et al. 2016

International Journal of Distributed Sensor Networks

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Conflict management in Dempster-Shafer theory (D-S theory) is a hot topic in information fusion. In this paper, a new weighted evidence combination on the basis of the distance between evidence and entropy function is presented. The proposed approach is identified as two procedures. First, the weight is determined based on the distance of evidence. Then, the obtained weight value in the first step is modified by making advantage of Deng entropy function. Our proposed method can efficiently cope with high conflicting evidences with better performance of convergence. A numerical example is provided to demonstrate that the proposed method is reasonable and efficient in the end.

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“…So one key problem in the EIA is to handle various kinds of forms of uncertainty. Up to now, many methods have been used to deal with uncertainty, such as fuzzy set theory (Zadeh 1965;Wood et al 2007;Zavadskas et al 2014;Ju, Yoo 2014;Jiang et al 2015a), rough set (Pawlak, Skowron 2007;Hu, Lu 2009;Morón et al 2009), uncertain theory (Liu 2014;Ahmadi et al 2015;Deng 2015b), Dempster-Shafer theory of evidence (Dempster 1967;Shafer 1976;Deng 2015a;Jiang et al 2015b), D numbers theory (Deng 2012;Deng et al 2014c) and so on (Zolfani et al 2013;Rabbani et al 2014;Kaplinski et al 2014;Baleženti, T., Baleženti, A. 2014;Akhavan et al 2015;Su et al 2015;Deng et al 2015a;Mardani et al 2015).…”

Section: Introductionmentioning

confidence: 99%

A Modified D Numbers Methodology for Environmental Impact Assessment

Wang

Wei

2017

Technological and Economic Development of Economy

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Abstract. Environmental impact assessment (EIA) is usually evaluated by many factors influenced by various kinds of uncertainty or fuzziness. As a result, the key issues of EIA problem are to represent and deal with the uncertain or fuzzy information. D numbers theory, as the extension of Dempster-Shafer theory of evidence, is a desirable tool that can express uncertainty and fuzziness, both complete and incomplete, quantitative or qualitative. However, some shortcomings do exist in D numbers combination process, the commutative property is not well considered when multiple D numbers are combined. Though some attempts have made to solve this problem, the previous method is not appropriate and convenience as more information about the given evaluations represented by D numbers are needed. In this paper, a data-driven D numbers combination rule is proposed, commutative property is well considered in the proposed method. In the combination process, there does not require any new information except the original D numbers. An illustrative example is provided to demonstrate the effectiveness of the method.

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Determining Basic Probability Assignment Based on the Improved Similarity Measures of Generalized Fuzzy Numbers

Cited by 82 publications

References 23 publications

A modified method for risk evaluation in failure modes and effects analysis of aircraft turbine rotor blades

A modified method for risk evaluation in failure modes and effects analysis of aircraft turbine rotor blades

Weighted Evidence Combination Based on Distance of Evidence and Entropy Function

A Modified D Numbers Methodology for Environmental Impact Assessment

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