Uncertain Distribution-Minimum Spanning Tree Problem

Zhou, Jian; Yi, Xiajie; Wang, Ke; Liu, Jing

doi:10.1142/s0218488516500264

Cited by 11 publications

(4 citation statements)

References 25 publications

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“…In addition, with regards the variance (Yao, 2015a ), covariance (Gao et al, 2019a ), correlation coefficient (Zhao et al, 2018 ), moment (Sheng & Kar, 2015 ), basic inequality (Liu & Xu, 2010 ; Tian, 2011 ), and variational inequality (Chen & Zhu, 2015 ) of uncertain variables, many scholars are actively exploring their definitions and calculation methods. Meanwhile, the definitions, properties and principles of cross-entropy (Chen et al, 2012 ; Gao et al, 2018 ), triangular entropy (Ning et al, 2015 ), partial entropy (Ahmadzade et al, 2017a ), sine entropy (Yao et al, 2013a ), quadratic entropy (Dai, 2018 ), maximum entropy (Chen & Dai, 2011 ), and relative entropy (Zhou et al, 2015 , 2016 ; Sheng et al, 2017b ) have been proposed in several papers. Furthermore, the convergence concept of uncertain sequences and their interrelation (You, 2009 ; Wu & Xia, 2012 ; Chen et al, 2014 , 2016 ; Ahmadzade et al, 2017b ), and the limit theorem (Wang et al, 2018 , 2018 ), have also been discussed in many publications.…”

Section: Discussion Of Development Historymentioning

confidence: 99%

A systematic review of uncertainty theory with the use of scientometrical method

Zhou

Jiang

Pantelous

et al. 2022

Fuzzy Optim Decis Making

Self Cite

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Uncertainty theory is an area in axiomatic mathematics recently proposed by Professor Baoding Liu and aiming to deal with belief degrees. Retrieving 1004 journal articles from the Web of Science database between 2008 and 2019, and utilizing CiteSpace and Pajek software, we analyze the publications per year and by geographical distribution, productive scholars and their cooperation, key journals, highly cited articles and main paths of the field. In this way, seven key sub-fields of uncertainty theory and their research potential are derived. The results show the following: (1) The literature on uncertainty theory follows a linear growth trend, involves an extensive network of 1000 scholars worldwide and is published in 300 journals, indicating thus that uncertainty theory has become increasingly attractive, and its academic influence is gradually expanding. (2) Seven key sub-fields of uncertainty theory have clearly been identified, including the axiomatic system, uncertain programming, uncertain sets, uncertain logic, uncertain differential equations, uncertain risk analysis, and uncertain processes. Among them, uncertain differential equations and programming are the two main sub-fields with the largest numbers of published papers. Furthermore, for evaluating the research potential of sub-fields, maturity and recent attention indicators are calculated using the citations, total number of publications, quantity of most cited literature and half-life. Based on these indicators, uncertain processes shows the greatest development potential, and has remained a hot topic in recent years, being mainly concentrated on the uncertain renewal reward process, optimal control of discrete-time uncertain systems, and uncertain linear quadratic optimal control. Additionally, uncertain risk analysis is ranked second, and focuses on the analysis of expected losses, investment risk, and structural reliability of uncertain systems.

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Section: Discussion Of Development Historymentioning

confidence: 99%

A systematic review of uncertainty theory with the use of scientometrical method

Zhou

Jiang

Pantelous

et al. 2022

Fuzzy Optim Decis Making

Self Cite

View full text Add to dashboard Cite

show abstract

“…The network node was selected as "Authors" in CiteSpace, and then the authors and their cooperative visualizations were initially analyzed, but the resulting map was relatively dense, and there were problems with a lack of focus. In order to make the network more readable, this paper again selected the Minimum Spanning Tree (MST) to prune the network [52]. The algorithm could more vividly represent the field of carbon neutrality research without changing the node.…”

Section: Micro-angle Cooperation Analysismentioning

confidence: 99%

Bibliometric Analysis for Carbon Neutrality with Hotspots, Frontiers, and Emerging Trends between 1991 and 2022

Wang

Shi

Cheng

et al. 2023

IJERPH

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The proposal of carbon neutrality is a manifestation of actively responding to global warming and sustainable development, which means all greenhouse gases achieve near-zero emissions. China is also fulfilling its national mission in this regard. This paper collected 4922 documents from the “Web of Science Core Database” and used Citespace (6.1.R2 Advanced) and Vosviewer (1.6.18) software and Bibliometrix functions to carry out descriptive statistics on the number of publications, cooperation mechanisms, and keyword hotspots, finding that the literature mainly focused on China’s carbon neutrality, carbon emissions, energy efficiency, sustainable development, and other related topics in the past two years. Further, the 2060 carbon neutrality action plan for China is discussed, focusing on the implementation plan and technical route and proposing the corresponding plans. The purpose of this paper is to accelerate the pace of China’s achievement of this goal and to provide feasible solutions and pathways to its achievement through insight into global carbon neutrality hotspots and new trends.

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“…Yao [26] analyzed a no-arbitrage determinant theorem for Liu's stock model in uncertain markets. Zhou et al [27] studied the minimum spanning tree problem on a graph with uncertain edge weights which are formulated as uncertain variables. Sheng et al [28] investigated a production-inventory problem in an uncertain environment with bounded production rates and proposed an uncertain optimal control model with Hurwicz criterion.…”

Section: Introductionmentioning

confidence: 99%

Reliability Assessment of Random Uncertain Multi-State Systems

Yue

Zhao

2019

IEEE Access

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The random uncertain multi-state system is defined as a multi-state system consisting of multi-state components whose performance rates and the corresponding state probabilities are presented as uncertain variables. Reliability assessment of random multi-state systems with enough samples based on probability theory has been widely investigated. Nevertheless, in some real-world applications, only a few or even no samples are available to estimate the state probabilities and performance rates of multistate components or systems. To overcome the problem, by joint employment of probability theory and uncertainty theory, the reliability of a random uncertain multi-state system is analyzed in this paper. The state probabilities and performance rates of multi-state components are considered as uncertain variables. The uncertain universal generating function is introduced to evaluate the state probabilities and performance rates of the random uncertain multi-state systems. The uncertainty distributions, inverse uncertainty distributions, expected values and variances of the state probabilities, and performance rates for the system are discussed. An assessment technique for system reliability is proposed to compute the system reliability under the crisp user demand. A numerical example is presented to illustrate how to assess the state probabilities, performance rates, and reliability of the system.

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Uncertain Distribution-Minimum Spanning Tree Problem

Cited by 11 publications

References 25 publications

A systematic review of uncertainty theory with the use of scientometrical method

A systematic review of uncertainty theory with the use of scientometrical method

Bibliometric Analysis for Carbon Neutrality with Hotspots, Frontiers, and Emerging Trends between 1991 and 2022

Reliability Assessment of Random Uncertain Multi-State Systems

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