Fractional Deng Entropy and Extropy and Some Applications

Kazemi, Mohammad Reza; Tahmasebi, Saeid; Buono, Francesco; Longobardi, Maria

doi:10.3390/e23050623

Cited by 39 publications

(17 citation statements)

References 32 publications

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“…Some properties and extension of Deng entropy are discussed in [63]. More research can be found in [64][65][66].…”

Section: Deng Entropymentioning

confidence: 99%

An Evidential Software Risk Evaluation Model

Deng

2022

Mathematics

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Software risk management is an important factor in ensuring software quality. Therefore, software risk assessment has become a significant and challenging research area. The aim of this study is to establish a data-driven software risk assessment model named DDERM. In the proposed model, experts’ risk assessments of probability and severity can be transformed into basic probability assignments (BPAs). Deng entropy was used to measure the uncertainty of the evaluation and to calculate the criteria weights given by experts. In addition, the adjusted BPAs were fused using the rules of Dempster–Shafer evidence theory (DST). Finally, a risk matrix was used to get the risk priority. A case application demonstrates the effectiveness of the proposed method. The proposed risk modeling framework is a novel approach that provides a rational assessment structure for imprecision in software risk and is applicable to solving similar risk management problems in other domains.

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“…Some properties and extension of Deng entropy are discussed in [63]. More research can be found in [64][65][66].…”

Section: Deng Entropymentioning

confidence: 99%

An Evidential Software Risk Evaluation Model

Deng

2022

Mathematics

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“…Proof By using the expressions of the cdf and the pdf of Y in terms of F X and f X obtained in (10), the weighted interval extropy of Y can be expressed as…”

Section: Remarkmentioning

confidence: 99%

“…Moreover, extropy is a measure better than entropy in some scenarios in statistical mechanics and thermodynamics [14]. More recently, some applications of extropy have been done in pattern recognition [3,10]. Qiu et al [19] defined the extropy for residual lifetime…”

Section: Introductionmentioning

confidence: 99%

Interval extropy and weighted interval extropy

2021

Self Cite

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Recently, Extropy was introduced by Lad, Sanfilippo and Agrò as a complement dual of Shannon Entropy. In this paper, we propose dynamic versions of Extropy for doubly truncated random variables as measures of uncertainty called Interval Extropy and Weighted Interval Extropy. Some characterizations of random variables related to these new measures are given. Several examples are shown. These measures are evaluated under the effect of linear transformations and, finally, some bounds for them are presented.

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“…In addition to the work of [ 12 ] in which the concept of extropy was generalized to cumulative residual extropy, reference [ 13 ] investigated the properties of this term in both theoretical and applied aspects based on a version of the ranked set sampling. Moreover, Vaselabi et al, Buono and Longobardi, Kazemi et al [ 14 , 15 , 16 ] considered varextropy, Deng extropy, and fractional Deng extropy as generalizations of extropy. Furthermore, References [ 17 , 18 , 19 ] considered dynamic weighted extropy, the extropy of past lifetime distribution, and the extropy of k -records, respectively.…”

Section: Introductionmentioning

confidence: 99%

Weighted Cumulative Past Extropy and Its Inference

Kazemi

Hashempour‎

Longobardi

2022

Entropy

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This paper introduces and studies a new generalization of cumulative past extropy called weighted cumulative past extropy (WCPJ) for continuous random variables. We explore the following: if the WCPJs of the last order statistic are equal for two distributions, then these two distributions will be equal. We examine some properties of the WCPJ, and a number of inequalities involving bounds for WCPJ are obtained. Studies related to reliability theory are discussed. Finally, the empirical version of the WCPJ is considered, and a test statistic is proposed. The critical cutoff points of the test statistic are computed numerically. Then, the power of this test is compared to a number of alternative approaches. In some situations, its power is superior to the rest, and in some other settings, it is somewhat weaker than the others. The simulation study shows that the use of this test statistic can be satisfactory with due attention to its simple form and the rich information content behind it.

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Fractional Deng Entropy and Extropy and Some Applications

Cited by 39 publications

References 32 publications

An Evidential Software Risk Evaluation Model

An Evidential Software Risk Evaluation Model

Interval extropy and weighted interval extropy

Weighted Cumulative Past Extropy and Its Inference

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