nach oben

Fuzzy Optimization and Decision Making

Erschienen in:

08.06.2023

A survey on uncertain graph and uncertain network optimization

verfasst von: Jin Peng, Bo Zhang, Lin Chen, Hui Li

Erschienen in: Fuzzy Optimization and Decision Making | Ausgabe 1/2024

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

Uncertainty theory, founded in 2007, has become a branch of mathematics to model uncertainty rather than randomness. As an indispensable part of uncertainty theory, uncertain graph and uncertain network optimization has received the wide attention of many scholars. Naturally, a series of original research achievements have been obtained on uncertain graph and uncertain network optimization. This paper aims to present a state-of-the-art review on the recent advance in uncertain graph and uncertain network optimization. Furthermore, it hopes to predict the possible future research directions. Based on Web of Science database, this paper retrieves 144 related papers from 2011 to 2021 to analyze the features of published articles. More precisely, we analyze the annual number of publications, key topics and sub-fields, journals, and most-cited articles. In addition, the main results and models for uncertain graph and uncertain network optimization are summarized. Furthermore, the limitations of existing literature and the possible development trend are discussed.

Vorheriger Artikel A fuzzy sustainable model for COVID-19 medical waste supply chain network

Nächster Artikel Solution method and parameter estimation of uncertain partial differential equation with application to China’s population

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Abdi, S., Baroughi, F., & Alizadeh, B. (2018). The minimum cost flow problem of uncertain random network. Asia-Pacific Journal of Operational Research, 35(3), 1850016.MathSciNet

Asim, Z., Jalil, S. A., & Javaid, S. (2019). An uncertain model for integrated production-transportation closed-loop supply chain network with cost reliability. Sustainable Production and Consumption, 17, 298–310.

Charnes, A., & Cooper, W. W. (1959). Chance-constrained programming. Management Science, 6(1), 73–79.MathSciNet

Chen, L., Peng, J., & Zhang, B. (2017). Uncertain goal programming models for bicriteria solid transportation problem. Applied Soft Computing, 51, 49–59.

Chen, L., Peng, J., Rao, C., & Rosyida, I. (2018). Cycle index of uncertain random graph. Journal of Intelligent & Fuzzy Systems, 34(6), 4249–4259.

Cheng, R., Ma, W., & Ke, H. (2018). How does store-brand introduction affect a supply chain with uncertain information? Journal of Intelligent & Fuzzy Systems, 34(1), 189–201.

Dalman, H. (2019). Entropy-based multi-item solid transportation problems with uncertain variables. Soft Computing, 23(14), 5931–5943.

Ding, S. (2015). The \(\alpha\)-maximum flow model with uncertain capacities. Applied Mathematical Modelling, 39(7), 2056–2063.MathSciNet

Ding, S. (2017). Uncertain minimum cost multicommodity flow problem. Soft Computing, 21(1), 223–231.MathSciNet

Ding, S., & Zeng, X. (2018). Uncertain random assignment problem. Applied Mathematical Modelling, 56, 96–104.MathSciNet

Ding, S., Zeng, X., & Zhang, H. (2019). Uncertain random simulation algorithm with application to bottleneck assignment problem. Soft Computing, 23(21), 10977–10982.

Gao, R., & Zhang, Z. (2020). Analysis of green supply chain considering green degree and sales effort with uncertain demand. Journal of Intelligent & Fuzzy Systems, 38(4), 4247–4264.

Gao, X. (2014). Regularity index of uncertain graph. Journal of Intelligent & Fuzzy Systems, 27(4), 1671–1678.MathSciNet

Gao, X. (2016). Tree index of uncertain graphs. Soft Computing, 20, 1449–1458.

Gao, X., & Gao, Y. (2013). Connectedness index of uncertain graph. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 21(1), 127–137.MathSciNet

Gao, X., Guo, C., Yin, X., & Yu, X. (2019). The computation on \(\alpha\)-connectedness index of uncertain graph. Cluster Computing, 22, 5691–5701.

Gao, X., & Jia, L. (2017). Degree-constrained minimum spanning tree problem with uncertain edge weights. Applied Soft Computing, 56, 580–588.

Gao, Y. (2011). Shortest path problem with uncertain arc lengths. Computers & Mathematics with Applications, 62(6), 2591–2600.MathSciNet

Gao, Y. (2012). Uncertain models for single facility location problems on networks. Applied Mathematical Modelling, 36(6), 2592–2599.MathSciNet

Gao, Y., & Kar, S. (2017). Uncertain solid transportation problem with product blending. International Journal of Fuzzy Systems, 19(6), 1916–1926.MathSciNet

Gao, Y., & Qin, Z. (2016a). On computing the edge-connectivity of an uncertain graph. IEEE Transactions on Fuzzy Systems, 24(4), 981–991.

Gao, Y., & Qin, Z. (2016b). A chance constrained programming approach for uncertain \(p\)-hub center location problem. Computers & Industrial Engineering, 102, 10–20.

Gao, Y., Wen, M., & Ding, S. (2016). \((s, S)\) policy for uncertain single period inventory problem. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 21(6), 945–953.MathSciNet

Gao, Y., Yang, L., & Li, S. (2016). Uncertain models on railway transportation planning problem. Applied Mathematical Modelling, 40(7–8), 4921–4934.MathSciNet

Gao, Y., Yang, L., Li, S., & Kar, S. (2015). On distribution function of the diameter in uncertain graph. Information Sciences, 296, 61–74.MathSciNet

Gupta, S., Ali, I., & Ahmed, A. (2018). Multi-choice multi-objective capacitated transportation problem-A case study of uncertain demand and supply. Journal of Statistics & Management Systems, 21(3), 467–491.

Han, S., Peng, Z., & Wang, S. (2014). The maximum flow problem of uncertain network. Information Sciences, 265, 167–175.MathSciNet

Hosseini, S. (2015). Time-dependent optimization of a multi-item uncertain supply chain network: A hybrid approximation algorithm. Discrete Optimization, 18, 150–167.MathSciNet

Hu, X., Teng, J., Wu, W., Li, Y., & Sheng, Y. (2021). Research on airport scheduling of FGAP multi-objective programming model based on uncertainty theory. Symmetry, 13(13), 1915.ADS

Huang, M., Ren, L., Lee, L., & Wang, X. (2015). 4PL routing optimization under emergency conditions. Knowledge-Based Systems, 89, 126–133.

Huang, X., & Di, H. (2015). Modelling uncapacitated facility location problem with uncertain customers’ positions. Journal of Intelligent & Fuzzy Systems, 28(6), 2569–2577.MathSciNet

Kakran, V., & Dhodiya, J. (2021). Four-dimensional uncertain multi-objective multi-item transportation problem. Operations Research and Decisions, 32(2), 52–73.

Ke, H., Ma, J., & Tian, G. (2017a). Hybrid multilevel programming with uncertain random parameters. Journal of Intelligent Manufacturing, 28(3), 589–596.

Ke, H., Zhang, X., Gen, M., & Jo, J. (2017b). A new model for single machine scheduling with uncertain processing time. Journal of Intelligent Manufacturing, 28(3), 717–725.

Li, H., & Gao, X. (2020). On the vertex-connectivity of an uncertain random graph. IEEE Access, 8, 85504–85514.

Li, H., & Gao, X. (2021). On the significance of edges for connectivity in uncertain random graphs. Soft Computing, 25, 8989–8997.PubMedPubMedCentral

Li, H., Peng, J., Li, S., & Su, C. (2017). Dispatching medical supplies in emergency events via uncertain programming. Journal of Intelligent Manufacturing, 28(3), 549–558.

Li, H., & Zhang, H. (2020). On the edge-connectivity of an uncertain random graph. IEEE Access, 8, 59126–59134.

Li, H., Zhang, B., & Peng, J. (2018). On the matching number of an uncertain graph. Iranian Journal of Fuzzy Systems, 15(2), 89–108.MathSciNet

Li, H., Zhang, B., Peng, J., & Ge, X. (2020). Local connectivity of uncertain random graphs. IEEE Access, 8, 115548–115558.

Li, R., & Liu, G. (2017). An uncertain goal programming model for machine scheduling problem. Journal of Intelligent Manufacturing, 28(3), 689–694.

Li, S., Peng, J., & Zhang, B. (2020). The risk path selection problem in uncertain network. Soft Computing, 24(3), 6375–6383.

Lian, D., & Ke, H. (2020). Coordination in project supply chain based on uncertainty theory. Journal of Intelligent & Fuzzy Systems, 35(3), 3757–3772.

Lio, W. C., & Liu, B. (2021). Initial value estimation of uncertain differential equations and zero-day of COVID-19 spread in China. Fuzzy Optimization and Decision Making, 20(2), 177–188.MathSciNet

Liu, B. (2007). Uncertainty theory (2nd ed.). Berlin: Springer.

Liu, B. (2009). Theory and practice of uncertain programming (2nd ed.). Berlin: Springer.

Liu, B. (2010). Uncertainty theory: A branch of mathematics for modeling human uncertainty. Berlin: Springer.

Liu, B. (2014). Uncertain random graph and uncertain random network. Journal of Uncertain Systems, 8(1), 3–12.

Liu, B. (2015). Uncertainty theory (4th ed.). Berlin: Springer.

Liu, B. (2019). Uncertain urn problems and Ellsberg experiment. Soft Computing, 23(15), 6579–6584.

Liu, B., & Yao, K. (2015). Uncertain multilevel programming: Algorithm and applications. Computers & Industrial Engineering, 89, 235–240.

Liu, Y. (2013). Uncertain random programming with applications. Fuzzy Optimization and Decision Making, 12(2), 153–169.MathSciNet

Liu, Y., & Liu, B. (2022). Residual analysis and parameter estimation of uncertain differential equations. Fuzzy Optimization and Decision Making, 21(4), 513–530.MathSciNet

Ma, W., Liu, Y., & Zhang, X. (2019). A new model and algorithm for uncertain random parallel machine scheduling problem. Soft Computing, 23(15), 6555–6566.

Mahmoodirad, A., Dehghan, R., & Niroomand, S. (2019). Modelling linear fractional transportation problem in belief degree-based uncertain environment. Journal of Experimental & Theoretical Artificial Intelligence, 31(3), 393–408.ADS

Mahmoodirad, A., & Niroomand, S. (2020a). A belief degree-based uncertain scheme for a bi-objective two-stage green supply chain network design problem with direct shipment. Soft Computing, 24(24), 18499–18519.

Mahmoodirad, A., & Niroomand, S. (2020b). Uncertain location-allocation decisions for a bi-objective two-stage supply chain network design problem with environmental impacts. Expert Systems, 37(5), e12558.

Majumder, S., Kundu, P., Kar, S., & Pal, T. (2019a). Uncertain multi-objective multi-item fixed charge solid transportation problem with budget constraint. Soft Computing, 23(10), 3279–3301.

Majumder, S., Kar, S., & Pal, T. (2019b). Uncertain multi-objective Chinese postman problem. Soft Computing, 23(22), 11557–11572.

Majumder, S., Kar, M., Kar, S., & Pal, T. (2020). Uncertain programming models for multi-objective shortest path problem with uncertain parameters. Soft Computing, 24(12), 8975–8996.

Mehrdoust, F., Noorani, I., & Xu, W. (2023). Uncertain energy model for electricity and gas futures with application in spark-spread option price. Fuzzy Optimization and Decision Making, 22(1), 123–148.MathSciNet

Mou, D., & Zhao, W. (2013). An irregular flight scheduling model and algorithm under the uncertainty theory. Journal of Applied Mathematics, 2013, 361926.MathSciNet

Ning, Y., Chen, X., Wang, Z., & Li, X. (2017). An uncertain multi-objective programming model for machine scheduling problem. International Journal of Machine Learning and Cybernetics, 8(5), 1493–1500.

Peng, J., Zhang, B., & Sugeng, K. A. (2022). Uncertain hypergraphs: A conceptual framework and some topological characteristics indexes. Symmetry, 14, 330.ADS

Qin, Z. (2018). Uncertain random goal programming. Fuzzy Optimization and Decision Making, 17(4), 375–386.MathSciNet

Qin, Z., & Kar, S. (2013). Single-period inventory problem under uncertain environment. Applied Mathematics and Computation, 219(18), 9630–9638.MathSciNet

Rosyida, I., Peng, J., Chen, L., Widodo, W., Indrati, C., & Sugeng, K. A. (2018). An uncertain chromatic number of an uncertain graph based on \(\alpha\)-cut coloring. Fuzzy Optimization and Decision Making, 17, 103–123.MathSciNet

Safi, M., & Ghasemi, S. (2017). Uncertainty in linear fractional transportation problem. International Journal of Nonlinear Analysis and Applications, 8(1), 81–93.

Sahoo, P., Jana, D., Pramanik, S., & Panigrahi, G. (2020). Uncertain four-dimensional multi-objective multi-item transportation models via GP technique. Soft Computing, 24(22), 17291–17307.

Shen, J. (2020a). An uncertain sustainable supply chain network. Applied Mathematics and Computation, 378, 125213.MathSciNet

Shen, J. (2020b). An environment supply chain network under uncertainty. Physica A-Statistical Mechanics and its Applications, 542, 123478.MathSciNet

Shen, J., & Zhu, K. (2018a). Uncertain supply chain problem with price and effort. International Journal of Fuzzy Systems, 20(4), 1145–1158.MathSciNet

Shen, J., & Zhu, K. (2018b). An uncertain single machine scheduling problem with periodic maintenance. Knowledge-Based Systems, 144, 32–41.

Shen, J., & Zhu, Y. (2016). Chance-constrained model for uncertain job shop scheduling problem. Soft Computing, 20(6), 2383–2391.

Shen, J., & Zhu, Y. (2019). A parallel-machine scheduling problem with periodic maintenance under uncertainty. Journal of Ambient Intelligence and Humanized Computing, 10(8), 3171–3179.

Sheng, Y., & Mei, X. (2020). Uncertain random shortest path problem. Soft Computing, 24(4), 2431–2440.

Sheng, Y., Qin, Z., & Shi, G. (2017). Minimum spanning tree problem of uncertain random network. Journal of Intelligent Manufacturing, 28(3), 565–574.

Sheng, Y., Shi, G., & Ralescu, D. A. (2017). Entropy of uncertain random variables with application to minimum spanning tree problem. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 25(4), 497–514.MathSciNet

Sheng, Y., & Yao, K. (2012a). A transportation model with uncertain costs and demands. Information, 15(8), 3179–3185.MathSciNet

Sheng, Y., & Yao, K. (2012b). Fixed charge transportation problem and its uncertain programming model. Industrial Engineering & Management Systems, 11(2), 183–187.

Sheng, L., Zhu, Y., & Wang, K. (2020). Analysis of a class of dynamic programming models for multi-stage uncertain systems. Applied Mathematical Modelling, 86, 446–459.MathSciNet

Soltanpour, A., Baroughi, F., & Alizadeh, B. (2020a). A hybrid algorithm for the uncertain inverse \(p\)-median location problem. Facta Universitatis-Series Mathematics and Informatics, 35(5), 1399–1416.MathSciNet

Soltanpour, A., Baroughi, F., & Alizadeh, B. (2020b). Classical and inverse median location problems under uncertain environment. Acta Mathematicae Applicatae Sinica-English Series, 36(2), 419–438.MathSciNet

Tan, Y., Ji, X., & Yan, S. (2019). New models of supply chain network design by different decision criteria under hybrid uncertainties. Journal of Ambient Intelligence and Humanized Computing, 10(7), 2843–2853.

Wang, C., Hu, Z., Xie, M., & Bian, Y. (2019). Sustainable facility location-allocation problem under uncertainty. Concurrency and Computation-Practice & Experience, 31(9), e4521.

Wang, J., & Qin, Z. (2020). Chance constrained programming models for uncertain hub covering location problems. Soft Computing, 24(4), 2781–2791.

Wang, J., & Qin, Z. (2021). Modelling and analysis of uncertain hub maximal covering location problem in the presence of partial coverage. Journal of Intelligent & Fuzzy Systems, 40(5), 9987–10002.

Wang, Z., Duan, Y., & Hou, J. (2021). Maximal covering location problem of smart recycling infrastructure for recyclable waste in an uncertain environment. Waste Management & Research, 39(2), 396–404.

Wang, Z., Guo, J., Zheng, M., & Yang, Y. (2021). A new approach for uncertain multiobjective programming problem based on P-E principle. Journal of Industrial and Management Optimization, 11(1), 13–26.MathSciNetADS

Wen, M., Qin, Z., & Kang, R. (2014). The \(\alpha\)-cost minimization model for capacitated facility location-allocation problem with uncertain demands. Fuzzy Optimization and Decision Making, 13(3), 345–356.MathSciNet

Yan, S., & Ji, X. (2020). Supply chain network design under the risk of uncertain disruptions. International Journal of Production Research, 58(6), 1724–1740.MathSciNet

Yang, L., Liu, P., Li, S., Gao, Y., & Ralescu, D. A. (2015). Reduction methods of type-2 uncertain variables and their applications to solid transportation problem. Information Sciences, 291, 204–237.MathSciNet

Yang, M., Ni, Y., Yang, X., & Ralescu, D. A. (2021). The consistent vehicle routing problem under uncertain environment. Journal of Intelligent & Fuzzy Systems, 41(2), 2797–2812.

Ye, T., & Liu, B. (2022). Uncertain significance test for regression coefficients with application to regional economic analysis. Communications in Statistics-Theory and Methods. https://doi.org/10.1080/03610926.2022.2042562CrossRef

Ye, T., & Yang, X. (2021). Analysis and prediction of confirmed COVID-19 cases in China with uncertain time series. Fuzzy Optimization and Decision Making, 20(2), 209–228.MathSciNet

Zhang, B., & Peng, J. (2012a). Euler index in uncertain graph. Applied Mathematics and Computation, 218(24), 10279–10288.MathSciNet

Zhang, B., & Peng, J. (2012b). Uncertain programming model for Chinese postman problem with uncertain weights. Industrial Engineering & Management Systems, 11(1), 18–25.

Zhang, B., & Peng, J. (2013a). Uncertain programming model for uncertain optimal assignment problem. Applied Mathematical Modelling, 37(9), 6458–6468.MathSciNet

Zhang, B., & Peng, J. (2013b). Matching index of an uncertain graph: Concept and algorithm. Applied and Computational Mathematics, 12(3), 381–391.MathSciNet

Zhang, B., & Peng, J. (2013c). Connectedness strength of two vertices in an uncertain graph. International Journal of Computer Mathematics, 90(2), 246–257.MathSciNet

Zhang, B., Peng, J., Li, S., & Chen, L. (2016). Fixed charge solid transportation problem in uncertain environment and its algorithm. Computers & Industrial Engineering, 102, 186–197.

Zhang, B., Peng, J., & Li, S. (2017a). Euler index of uncertain random graph: Concepts and properties. International Journal of Computer Mathematics, 94(2), 217–229.MathSciNet

Zhang, B., Peng, J., & Li, S. (2017b). Covering location problem of emergency service facilities in an uncertain environment. Applied Mathematical Modelling, 51, 429–447.MathSciNet

Zhang, B., Peng, J., & Li, S. (2018). Matching index and its algorithm of uncertain random graph. Applied and Computational Mathematics, 17(1), 22–35.MathSciNet

Zhang, B., Li, H., Li, S., & Peng, J. (2018). Sustainable multi-depot emergency facilities location-routing problem with uncertain information. Applied Mathematics and Computation, 333, 506–520.MathSciNet

Zhang, B., & Peng, J. (2022). Uncertain graph and network optimization. Singapore: Springer.

Zhang, B., Peng, J., & Li, S. (2021). Minimax models for capacitated \(p\)-center problem in uncertain environment. Fuzzy Optimization and Decision Making, 20(3), 273–292.MathSciNet

Zhang, W., Wang, X., & Yang, K. (2020). Uncertain multi-objective optimization for water-rail-road intermodal transport system with consideration of hub operation process using a memetic algorithm. Soft Computing, 24(5), 3695–3709.

Zhang, X., Wang, Q., & Zhou, J. (2013). Two uncertain programming models for inverse minimum spanning tree problem. Industrial Engineering & Management Systems, 12(1), 9–15.

Zheng, M., Yi, Y., Wang, Z., & Chen, J. (2017a). Study on two-stage uncertain programming based on uncertainty theory. Journal of Intelligent Manufacturing, 28(3), 633–642.

Zheng, M., Yi, Y., Wang, Z., & Liao, T. (2017b). Relations among efficient solutions in uncertain multiobjective programming. Fuzzy Optimization and Decision Making, 16(3), 329–357.MathSciNet

Zhong, S., Chen, Y., Zhou, J., & Liu, Y. (2017). An interactive satisficing approach for multi-objective optimization with uncertain parameters. Journal of Intelligent Manufacturing, 28(3), 535–547.

Zhou, J., Chen, L., & Wang, K. (2015). Path optimality conditions for minimum spanning tree problem with uncertain edge weights. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 23(1), 49–71.MathSciNet

Zhou, J., Jiang, Y., Pantelous, A., & Dai, W. (2022). A systematic review of uncertainty theory with the use of scientometrical method. Fuzzy Optimization and Decision Making. https://doi.org/10.1007/s10700-022-09400-4CrossRefPubMedCentral

Zhou, J., Yang, F., & Wang, K. (2014). Multi-objective optimization in uncertain random environments. Fuzzy Optimization and Decision Making, 13(4), 397–413.MathSciNet

Zhu, K., Ji, K., & Shen, J. (2021). A fixed charge transportation problem with damageable items under uncertain environment. Physica A-Statistical Mechanics and Its Applications, 581, 126234.MathSciNet

Zhu, K., Shen, J., & Yao, X. (2019). A three-echelon supply chain with asymmetric information under uncertainty. Journal of Ambient Intelligence and Humanized Computing, 10(2), 579–591.

Titel: A survey on uncertain graph and uncertain network optimization
verfasst von: Jin Peng
Bo Zhang
Lin Chen
Hui Li
Publikationsdatum: 08.06.2023
Verlag: Springer US
Erschienen in: Fuzzy Optimization and Decision Making / Ausgabe 1/2024
Print ISSN: 1568-4539
Elektronische ISSN: 1573-2908
DOI: https://doi.org/10.1007/s10700-023-09413-7

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Wirtschaft"

Springer Professional "Technik"

Weitere Artikel der Ausgabe 1/2024

Medical health resources allocation evaluation in public health emergencies by an improved ORESTE method with linguistic preference orderings

A fuzzy sustainable model for COVID-19 medical waste supply chain network

Correction: Medical health resources allocation evaluation in public health emergencies by an improved ORESTE method with linguistic preference orderings

A subjective interpretation of Liu–Liu’s credibility measures and expectations

Some methods to derive the priority weights from the best–worst method matrix and weight efficiency test in view of incomplete pairwise comparison matrix

Solution method and parameter estimation of uncertain partial differential equation with application to China’s population

Premium Partner