{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,9]],"date-time":"2026-04-09T17:08:41Z","timestamp":1775754521270,"version":"3.50.1"},"reference-count":71,"publisher":"Springer Science and Business Media LLC","issue":"16","license":[{"start":{"date-parts":[[2023,6,1]],"date-time":"2023-06-01T00:00:00Z","timestamp":1685577600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,6,1]],"date-time":"2023-06-01T00:00:00Z","timestamp":1685577600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2023,8]]},"DOI":"10.1007\/s00500-023-08502-4","type":"journal-article","created":{"date-parts":[[2023,6,1]],"date-time":"2023-06-01T11:01:55Z","timestamp":1685617315000},"page":"11205-11218","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Multifractal analysis of mass function"],"prefix":"10.1007","volume":"27","author":[{"given":"Chenhui","family":"Qiang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhen","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9286-2123","authenticated-orcid":false,"given":"Yong","family":"Deng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,6,1]]},"reference":[{"issue":"11","key":"8502_CR1","doi-asserted-by":"crossref","first-page":"2996","DOI":"10.1109\/TFUZZ.2019.2946526","volume":"28","author":"JCR Alcantud","year":"2019","unstructured":"Alcantud JCR, Feng F, Yager RR (2019) An $$ n $$-soft set approach to rough sets. IEEE Trans Fuzzy Syst 28(11):2996\u20133007","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"01","key":"8502_CR2","doi-asserted-by":"crossref","first-page":"2150020","DOI":"10.1142\/S0218348X21500201","volume":"29","author":"Z Ali","year":"2021","unstructured":"Ali Z, Rabiei F, Shah K, Khodadadi T (2021) Modeling and analysis of novel covid-19 under fractal-fractional derivative with case study of Malaysia. Fractals 29(01):2150020","journal-title":"Fractals"},{"issue":"5","key":"8502_CR3","doi-asserted-by":"crossref","first-page":"3331","DOI":"10.1007\/s00500-019-04096-y","volume":"24","author":"M Aslam","year":"2020","unstructured":"Aslam M, Fahmi A (2020) New work of trapezoidal cubic linguistic uncertain fuzzy Einstein hybrid weighted averaging operator and decision making. Soft Comput 24(5):3331\u20133354","journal-title":"Soft Comput"},{"issue":"9","key":"8502_CR4","doi-asserted-by":"crossref","first-page":"2841","DOI":"10.2298\/FIL1909841A","volume":"33","author":"N Attia","year":"2019","unstructured":"Attia N, Selmi B (2019) Relative multifractal box-dimensions relative multifractal box-dimensions. Filomat 33(9):2841\u20132859","journal-title":"Filomat"},{"key":"8502_CR5","doi-asserted-by":"publisher","unstructured":"Buono F, Longobardi M (2020) A dual measure of uncertainty: the deng extropy. Entropy 22 5. https:\/\/www.mdpi.com\/1099-4300\/22\/5\/582https:\/\/doi.org\/10.3390\/e22050582","DOI":"10.3390\/e22050582"},{"key":"8502_CR6","doi-asserted-by":"crossref","unstructured":"Che Y, Deng Y, Yuan YH (2022) Maximum-entropy-based decision-making trial and evaluation laboratory and its application in emergency management. J Organ End User Comput (JOEUC) 34(7):1\u201316","DOI":"10.4018\/JOEUC.302891"},{"issue":"9","key":"8502_CR7","doi-asserted-by":"crossref","first-page":"1177","DOI":"10.3390\/e24091177","volume":"24","author":"C Chen","year":"2022","unstructured":"Chen C, da Silva B, Chen R, Li S, Li J, Liu C (2022) Evaluation of fast sample entropy algorithms on fpgas: from performance to energy efficiency. Entropy 24(9):1177","journal-title":"Entropy"},{"key":"8502_CR8","doi-asserted-by":"publisher","DOI":"10.3390\/math10132325","author":"X Chen","year":"2022","unstructured":"Chen X, Deng Y (2022) An evidential software risk evaluation model. Mathematics. https:\/\/doi.org\/10.3390\/math10132325","journal-title":"Mathematics"},{"issue":"2","key":"8502_CR9","doi-asserted-by":"publisher","first-page":"5299","DOI":"10.15837\/ijccc.2023.2.5299","volume":"18","author":"X Chen","year":"2023","unstructured":"Chen X, Deng Y (2023) A new belief entropy and its application in software risk analysis. Int J Comput Commun Control 18(2):5299. https:\/\/doi.org\/10.15837\/ijccc.2023.2.5299","journal-title":"Int J Comput Commun Control"},{"key":"8502_CR10","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2021.111736","volume":"155","author":"H Cui","year":"2022","unstructured":"Cui H, Zhou L, Li Y, Kang B (2022) Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis. Chaos Solitons Fractals 155:111736. https:\/\/doi.org\/10.1016\/j.chaos.2021.111736","journal-title":"Chaos Solitons Fractals"},{"issue":"19","key":"8502_CR11","volume":"125","author":"X Dai","year":"2020","unstructured":"Dai X, Li X, Guo H, Jia D, Perc M, Manshour P, Boccaletti S (2020) Discontinuous transitions and rhythmic states in the d-dimensional Kuramoto model induced by a positive feedback with the global order parameter. Phys Rev Lett 125(19):194101","journal-title":"Phys Rev Lett"},{"key":"8502_CR12","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1016\/j.apm.2020.12.044","volume":"94","author":"ML Darder","year":"2021","unstructured":"Darder ML, Paz-Gonz\u00e1lez A, Garc\u00eda-Tomillo A, Lado M, Wilson MG (2021) Comparing multifractal characteristics of soil particle size distributions calculated by Mie and Fraunhofer models from laser diffraction measurements. Appl Math Model 94:36\u201348","journal-title":"Appl Math Model"},{"key":"8502_CR13","doi-asserted-by":"crossref","unstructured":"Dempster AP (1967) Upper and lower probabilities induced by a multivalued mapping. Ann Math Stat 325\u2013339","DOI":"10.1214\/aoms\/1177698950"},{"issue":"2","key":"8502_CR14","doi-asserted-by":"crossref","first-page":"381","DOI":"10.3390\/s20020381","volume":"20","author":"Deng Wang","year":"2020","unstructured":"Wang Deng (2020) A novel evidence conflict measurement for multi-sensor data fusion based on the evidence distance and evidence angle. Sensors 20(2):381","journal-title":"Sensors"},{"issue":"11","key":"8502_CR15","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s11432-020-3006-9","volume":"63","author":"Y Deng","year":"2020","unstructured":"Deng Y (2020) Uncertainty measure in evidence theory. Sci China Inf Sci 63(11):1\u201319","journal-title":"Sci China Inf Sci"},{"issue":"1","key":"8502_CR16","doi-asserted-by":"publisher","first-page":"4542","DOI":"10.15837\/ijccc.2022.1.4542","volume":"17","author":"Y Deng","year":"2022","unstructured":"Deng Y (2022) Random permutation set. Int J Comput Commun Control 17(1):4542. https:\/\/doi.org\/10.15837\/ijccc.2022.1.4542","journal-title":"Int J Comput Commun Control"},{"key":"8502_CR17","doi-asserted-by":"crossref","first-page":"529","DOI":"10.1016\/j.physa.2018.10.045","volume":"516","author":"S Duan","year":"2019","unstructured":"Duan S, Wen T, Jiang W (2019) A new information dimension of complex network based on r\u00e9nyi entropy. Physica A 516:529\u2013542","journal-title":"Physica A"},{"issue":"2","key":"8502_CR18","doi-asserted-by":"crossref","first-page":"2485","DOI":"10.3233\/JIFS-18125","volume":"35","author":"A Fahmi","year":"2018","unstructured":"Fahmi A, Abdullah S, Amin F, Ali A, Khan WA (2018) Some geometric operators with triangular cubic linguistic hesitant fuzzy number and their application in group decision-making. J Intell Fuzzy Syst 35(2):2485\u20132499","journal-title":"J Intell Fuzzy Syst"},{"issue":"14","key":"8502_CR19","doi-asserted-by":"crossref","first-page":"5753","DOI":"10.1007\/s00500-018-3242-6","volume":"23","author":"A Fahmi","year":"2019","unstructured":"Fahmi A, Abdullah S, Amin F, Khan M (2019) Trapezoidal cubic fuzzy number Einstein hybrid weighted averaging operators and its application to decision making. Soft Comput 23(14):5753\u20135783","journal-title":"Soft Comput"},{"issue":"6","key":"8502_CR20","doi-asserted-by":"crossref","first-page":"3323","DOI":"10.3233\/JIFS-162007","volume":"33","author":"A Fahmi","year":"2017","unstructured":"Fahmi A, Abdullah S, Amin F, Siddiqui N, Ali A (2017) Aggregation operators on triangular cubic fuzzy numbers and its application to multi-criteria decision making problems. J Intell Fuzzy Syst 33(6):3323\u20133337","journal-title":"J Intell Fuzzy Syst"},{"key":"8502_CR21","doi-asserted-by":"crossref","DOI":"10.1088\/1742-6596\/1168\/5\/052060","volume":"1168","author":"G Fang","year":"2019","unstructured":"Fang G, Chang X, Zhang P, Wei L (2019) Simulation calculation of temperature of the end face for mechanical seals based on fractal theory. J Phys Conf Ser 1168:052060","journal-title":"J Phys Conf Ser"},{"issue":"12","key":"8502_CR22","doi-asserted-by":"crossref","first-page":"10965","DOI":"10.1016\/j.aej.2022.04.030","volume":"61","author":"M Farman","year":"2022","unstructured":"Farman M, Akg\u00fcl A, Tekin MT, Akram MM, Ahmad A, Mahmoud EE, Yahia IS (2022) Fractal fractional-order derivative for hiv\/aids model with mittag-leffler kernel. Alex Eng J 61(12):10965\u201310980","journal-title":"Alex Eng J"},{"issue":"9","key":"8502_CR23","doi-asserted-by":"crossref","first-page":"2269","DOI":"10.1002\/int.22166","volume":"34","author":"L Fei","year":"2019","unstructured":"Fei L, Feng Y, Liu L (2019) Evidence combination using owa-based soft likelihood functions. Int J Intell Syst 34(9):2269\u20132290","journal-title":"Int J Intell Syst"},{"key":"8502_CR24","doi-asserted-by":"publisher","DOI":"10.1142\/S0218348X21502637","author":"Q Gao","year":"2021","unstructured":"Gao Q, Wen T, Deng Y (2021) Information volume fractal dimension. Fractals. https:\/\/doi.org\/10.1142\/S0218348X21502637","journal-title":"Fractals"},{"key":"8502_CR25","doi-asserted-by":"crossref","DOI":"10.1016\/j.engappai.2021.104369","volume":"104","author":"N Ghosh","year":"2021","unstructured":"Ghosh N, Saha S, Paul R (2021) IDCR: Improved dempster combination rule for multisensor fault diagnosis. Eng Appl Artif Intell 104:104369","journal-title":"Eng Appl Artif Intell"},{"key":"8502_CR26","doi-asserted-by":"crossref","unstructured":"Hamda NEI, Hadjali A, Lagha M (2022). An advanced weighted evidence combination method for multisensor data fusion in IoT. In: 2022 international conference on decision aid sciences and applications (dasa), pp. 810\u2013815","DOI":"10.1109\/DASA54658.2022.9765125"},{"key":"8502_CR27","doi-asserted-by":"crossref","first-page":"862","DOI":"10.1016\/j.apm.2020.09.020","volume":"90","author":"T Han","year":"2021","unstructured":"Han T, Yang Y, Huang G (2021) Vertical scaling optimization algorithm for a fractal interpolation model of time offsets prediction in navigation systems. Appl Math Model 90:862\u2013874","journal-title":"Appl Math Model"},{"key":"8502_CR28","doi-asserted-by":"crossref","unstructured":"Harte D (2001) Multifractals: theory and applications. Chapman and Hall\/CRC","DOI":"10.1201\/9781420036008"},{"key":"8502_CR29","doi-asserted-by":"crossref","first-page":"107199","DOI":"10.1016\/j.aml.2021.107199","volume":"119","author":"JH He","year":"2021","unstructured":"He JH, Qie N, He C, Saeed T (2021) On a strong minimum condition of a fractal variational principle. Appl Math Lett 119:107199","journal-title":"Appl Math Lett"},{"issue":"8","key":"8502_CR30","doi-asserted-by":"crossref","first-page":"4210","DOI":"10.1002\/int.22456","volume":"36","author":"C Huang","year":"2021","unstructured":"Huang C, Mi X, Kang B (2021) Basic probability assignment to probability distribution function based on the Shapley value approach. Int J Intell Syst 36(8):4210\u20134236","journal-title":"Int J Intell Syst"},{"issue":"11","key":"8502_CR31","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s11432-020-3080-3","volume":"63","author":"L Huang","year":"2020","unstructured":"Huang L, Liu Z, Pan Q, Dezert J (2020) Evidential combination of augmented multi-source of information based on domain adaptation. Sci China Inf Sci 63(11):1\u201314","journal-title":"Sci China Inf Sci"},{"key":"8502_CR32","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1016\/j.ijar.2018.09.001","volume":"103","author":"W Jiang","year":"2018","unstructured":"Jiang W (2018) A correlation coefficient for belief functions. Int J Approx Reason 103:94\u2013106","journal-title":"Int J Approx Reason"},{"issue":"06","key":"8502_CR33","doi-asserted-by":"crossref","first-page":"1750054","DOI":"10.1142\/S0218348X17500542","volume":"25","author":"ZQ Jiang","year":"2017","unstructured":"Jiang ZQ, Gao XL, Zhou WX, Stanley HE (2017) Multifractal cross wavelet analysis. Fractals 25(06):1750054","journal-title":"Fractals"},{"key":"8502_CR34","doi-asserted-by":"crossref","unstructured":"Kaur J, Singh W (2022) Tools, techniques, datasets and application areas for object detection in an image: a review. Multimed Tools Appl pp. 1\u201355","DOI":"10.1007\/s11042-022-13153-y"},{"key":"8502_CR35","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1016\/j.icarus.2018.07.005","volume":"319","author":"F Landais","year":"2019","unstructured":"Landais F, Schmidt F, Lovejoy S (2019) Multifractal topography of several planetary bodies in the solar system. Icarus 319:14\u201320","journal-title":"Icarus"},{"issue":"1","key":"8502_CR36","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1007\/s10479-019-03364-2","volume":"299","author":"N Lassance","year":"2021","unstructured":"Lassance N, Vrins F (2021) Minimum r\u00e9nyi entropy portfolios. Ann Oper Res 299(1):23\u201346","journal-title":"Ann Oper Res"},{"issue":"1","key":"8502_CR37","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1007\/s00603-020-02273-2","volume":"54","author":"B Li","year":"2021","unstructured":"Li B, Bao R, Wang Y, Liu R, Zhao C (2021) Permeability evolution of two-dimensional fracture networks during shear under constant normal stiffness boundary conditions. Rock Mech Rock Eng 54(1):409\u2013428","journal-title":"Rock Mech Rock Eng"},{"key":"8502_CR38","volume":"550","author":"Y Li","year":"2020","unstructured":"Li Y, Vilela AL, Stanley HE (2020) The institutional characteristics of multifractal spectrum of china\u2019s stock market. Physica A 550:124129","journal-title":"Physica A"},{"issue":"3","key":"8502_CR39","first-page":"468","volume":"51","author":"B Mandelbrot Benoit","year":"1998","unstructured":"Mandelbrot Benoit B (1998) The fractal geometry of nature. Am J Phys 51(3):468","journal-title":"Am J Phys"},{"key":"8502_CR40","first-page":"136","volume":"68","author":"K Ozkan","year":"2018","unstructured":"Ozkan K (2018) Comparing Shannon entropy with Deng entropy and improved Deng entropy for measuring biodiversity when a priori data is not clear. J Faculty For Istanbul Univ 68:136\u2013140","journal-title":"J Faculty For Istanbul Univ"},{"key":"8502_CR41","doi-asserted-by":"publisher","DOI":"10.5152\/forestist.2021.21025","author":"K \u00d6zkan","year":"2021","unstructured":"\u00d6zkan K, Mert A (2021) Comparisons of Deng entropy-based taxonomic diversity measures with the other diversity measures and introduction to the new proposed (reinforced) estimators. Forestist. https:\/\/doi.org\/10.5152\/forestist.2021.21025","journal-title":"Forestist"},{"issue":"01","key":"8502_CR42","doi-asserted-by":"crossref","first-page":"1750002","DOI":"10.1142\/S0218348X17500025","volume":"25","author":"X Pan","year":"2017","unstructured":"Pan X, Shang X, Wang M. Zuo-Fei (2017) The cantor set\u2019s multi-fractal spectrum formed by different probability factors in mathematical experiment. Fractals 25(01):1750002","journal-title":"Fractals"},{"key":"8502_CR43","doi-asserted-by":"publisher","first-page":"2250110","DOI":"10.1142\/S0218348X22501109","volume":"30","author":"C Qiang","year":"2022","unstructured":"Qiang C, Deng Y, Cheong KH (2022) Information fractal dimension of mass function. Fractals 30:2250110. https:\/\/doi.org\/10.1142\/S0218348X22501109","journal-title":"Fractals"},{"issue":"2","key":"8502_CR44","doi-asserted-by":"crossref","first-page":"382","DOI":"10.1162\/netn_a_00224","volume":"6","author":"EP Scheijbeler","year":"2022","unstructured":"Scheijbeler EP, van Nifterick AM, Stam CJ, Hillebrand A, de Gouw AA, Haan W (2022) Network-level permutation entropy of resting-state meg recordings: a novel biomarker for early-stage Alzheimer\u2019s disease? Network Neurosci 6(2):382\u2013400","journal-title":"Network Neurosci"},{"issue":"11","key":"8502_CR45","doi-asserted-by":"crossref","first-page":"1311","DOI":"10.3390\/math9111311","volume":"9","author":"M Sebasti\u00e1n","year":"2021","unstructured":"Sebasti\u00e1n M, Navascu\u00e9s M, Otal A, Ruiz C, Idiaz\u00e1bal M, Stasi LLD, D\u00edaz-Piedra C (2021) Fractal dimension as quantifier of EEQ activity in driving simulation. Mathematics 9(11):1311","journal-title":"Mathematics"},{"issue":"2","key":"8502_CR46","doi-asserted-by":"crossref","first-page":"663","DOI":"10.1007\/s12652-019-01377-0","volume":"11","author":"T Senapati","year":"2020","unstructured":"Senapati T, Yager RR (2020) Fermatean fuzzy sets. J Ambient Intell Humaniz Comput 11(2):663\u2013674","journal-title":"J Ambient Intell Humaniz Comput"},{"key":"8502_CR47","doi-asserted-by":"crossref","DOI":"10.1515\/9780691214696","volume-title":"A mathematical theory of evidence (42)","author":"G Shafer","year":"1976","unstructured":"Shafer G (1976) A mathematical theory of evidence (42). Princeton University Press, Princeton"},{"key":"8502_CR48","doi-asserted-by":"publisher","unstructured":"Shams G, Hatefi SM, Nemati S (2022) A Dempster-Shafer evidence theory for environmental risk assessment in failure modes and effects analysis of oil and gas exploitation plant. Scientia Iranica. https:\/\/doi.org\/10.24200\/sci.2022.56162.4580","DOI":"10.24200\/sci.2022.56162.4580"},{"key":"8502_CR49","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1007\/s12190-019-01238-1","volume":"61","author":"MK Siddiqui","year":"2019","unstructured":"Siddiqui MK, Imran M, Iqbal MA (2019) Molecular descriptors of discrete dynamical system in fractal and Cayley tree type dendrimers. J Appl Math Comput 61:157\u201372","journal-title":"J Appl Math Comput"},{"issue":"6189","key":"8502_CR50","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1038\/335405a0","volume":"335","author":"HE Stanley","year":"1988","unstructured":"Stanley HE, Meakin P (1988) Multifractal phenomena in physics and chemistry. Nature 335(6189):405\u2013409","journal-title":"Nature"},{"issue":"3","key":"8502_CR51","doi-asserted-by":"crossref","first-page":"2811","DOI":"10.1016\/j.aej.2021.01.043","volume":"60","author":"M Umar","year":"2021","unstructured":"Umar M, Sabir Z, Raja MAZ, Amin F, Saeed T, Guerrero-Sanchez Y (2021) Integrated neuro-swarm heuristic with interior-point for nonlinear SITR model for dynamics of novel Covid-19. Alex Eng J 60(3):2811\u20132824","journal-title":"Alex Eng J"},{"issue":"7","key":"8502_CR52","doi-asserted-by":"crossref","first-page":"3797","DOI":"10.1109\/TIT.2014.2320500","volume":"60","author":"T Van Erven","year":"2014","unstructured":"Van Erven T, Harremos P (2014) R\u00e9nyi divergence and Kullback-Leibler divergence. IEEE Trans Inf Theory 60(7):3797\u20133820","journal-title":"IEEE Trans Inf Theory"},{"key":"8502_CR53","volume":"97","author":"H Wang","year":"2021","unstructured":"Wang H, Deng X, Jiang W, Geng J (2021) A new belief divergence measure for Dempster-Shafer theory based on belief and plausibility function and its application in multi-source data fusion. Eng Appl Artif Intell 97:104030","journal-title":"Eng Appl Artif Intell"},{"issue":"5","key":"8502_CR54","doi-asserted-by":"crossref","first-page":"2150193","DOI":"10.1142\/S0218348X21501930","volume":"29","author":"J Wang","year":"2021","unstructured":"Wang J, Shao W (2021) Multifractal analysis with detrending weighted average algorithm of historical volatility. Fractals 29(5):2150193","journal-title":"Fractals"},{"issue":"2","key":"8502_CR55","doi-asserted-by":"crossref","first-page":"1595","DOI":"10.1007\/s13369-021-06011-w","volume":"47","author":"S Wang","year":"2022","unstructured":"Wang S, Tang Y (2022) An improved approach for generation of a basic probability assignment in the evidence theory based on gaussian distribution. Arab J Sci Eng 47(2):1595\u20131607","journal-title":"Arab J Sci Eng"},{"key":"8502_CR56","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/j.inffus.2021.02.001","volume":"73","author":"T Wen","year":"2021","unstructured":"Wen T, Cheong KH (2021) The fractal dimension of complex networks: a review. Inf Fusion 73:87\u2013102","journal-title":"Inf Fusion"},{"issue":"4","key":"8502_CR57","doi-asserted-by":"crossref","first-page":"1525","DOI":"10.1109\/TNNLS.2020.2984918","volume":"32","author":"F Xiao","year":"2020","unstructured":"Xiao F (2020) CED: a distance for complex mass functions. IEEE Trans Neural Netw Learn Syst 32(4):1525\u20131535","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"issue":"7","key":"8502_CR58","first-page":"1477","volume":"28","author":"F Xiao","year":"2020","unstructured":"Xiao F (2020) EFMCDM: evidential fuzzy multicriteria decision making based on belief entropy. IEEE Trans Fuzzy Syst 28(7):1477\u20131491","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"8","key":"8502_CR59","doi-asserted-by":"crossref","first-page":"7402","DOI":"10.1109\/TCYB.2020.3040770","volume":"52","author":"F Xiao","year":"2022","unstructured":"Xiao F (2022) CEQD: a complex mass function to predict interference effects. IEEE Trans Cybern 52(8):7402\u20137414","journal-title":"IEEE Trans Cybern"},{"key":"8502_CR60","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2022.3211498","author":"F Xiao","year":"2022","unstructured":"Xiao F (2022) GEJS: a generalized evidential divergence measure for multisource information fusion. IEEE Trans Syst Man Cybern Syst. https:\/\/doi.org\/10.1109\/TSMC.2022.3211498","journal-title":"IEEE Trans Syst Man Cybern Syst"},{"key":"8502_CR61","doi-asserted-by":"publisher","DOI":"10.1007\/s10489-022-04181-0","author":"F Xiao","year":"2022","unstructured":"Xiao F (2022) Generalized quantum evidence theory. Appl Intell. https:\/\/doi.org\/10.1007\/s10489-022-04181-0","journal-title":"Appl Intell"},{"issue":"1","key":"8502_CR62","doi-asserted-by":"crossref","first-page":"186","DOI":"10.1109\/TFUZZ.2020.3002431","volume":"29","author":"F Xiao","year":"2020","unstructured":"Xiao F, Cao Z, Jolfaei A (2020) A novel conflict measurement in decision making and its application in fault diagnosis. IEEE Trans Fuzzy Syst 29(1):186\u2013197","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"8502_CR63","doi-asserted-by":"publisher","DOI":"10.1109\/TKDE.2022.3206871","author":"F Xiao","year":"2022","unstructured":"Xiao F, Cao Z, Lin CT (2022) A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Trans Knowl Data Eng. https:\/\/doi.org\/10.1109\/TKDE.2022.3206871","journal-title":"IEEE Trans Knowl Data Eng"},{"key":"8502_CR64","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2022.3167045","author":"F Xiao","year":"2022","unstructured":"Xiao F, Pedrycz W (2022) Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Trans Pattern Anal Mach Intell. https:\/\/doi.org\/10.1109\/TPAMI.2022.3167045","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"key":"8502_CR65","doi-asserted-by":"publisher","unstructured":"Xiao F, Wen J, Pedrycz W (2022) Generalized divergence-based decision making method with an application to pattern classification. IEEE Trans Knowl Data Eng. https:\/\/doi.org\/10.1109\/TKDE.2022.3177896","DOI":"10.1109\/TKDE.2022.3177896"},{"key":"8502_CR66","doi-asserted-by":"publisher","first-page":"408","DOI":"10.1016\/j.ins.2021.08.088","volume":"580","author":"L Xiong","year":"2021","unstructured":"Xiong L, Su X, Qian H (2021) Conflicting evidence combination from the perspective of networks. Inf Sci 580:408\u2013418. https:\/\/doi.org\/10.1016\/j.ins.2021.08.088","journal-title":"Inf Sci"},{"key":"8502_CR67","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1016\/j.aml.2015.02.024","volume":"47","author":"XJ Yang","year":"2015","unstructured":"Yang XJ, Baleanu D, Srivastava H (2015) Local fractional similarity solution for the diffusion equation defined on cantor sets. Appl Math Lett 47:54\u201360","journal-title":"Appl Math Lett"},{"issue":"5","key":"8502_CR68","doi-asserted-by":"publisher","first-page":"2851","DOI":"10.1109\/TSMC.2022.3219996","volume":"53","author":"Q Zhou","year":"2022","unstructured":"Zhou Q, Deng Boss\u00e9 \u00c9 (2022) Modeling belief propensity degree: measures of evenness and diversity of belief functions. IEEE Trans Syst Man Cybern Syst 53(5):2851\u20132862. https:\/\/doi.org\/10.1109\/TSMC.2022.3219996","journal-title":"IEEE Trans Syst Man Cybern Syst"},{"issue":"04","key":"8502_CR69","doi-asserted-by":"publisher","first-page":"2250079","DOI":"10.1142\/S0218348X22500797","volume":"30","author":"Q Zhou","year":"2022","unstructured":"Zhou Q, Deng Y, Pedrycz W (2022) Information dimension of Galton board. Fractals 30(04):2250079. https:\/\/doi.org\/10.1142\/S0218348X22500797","journal-title":"Fractals"},{"key":"8502_CR70","doi-asserted-by":"publisher","unstructured":"Zhou Q, Tian G, Deng Y (2023) Bf-qc: belief functions on quantum circuits. Exp Syst Appl 223: 119885. https:\/\/www.sciencedirect.com\/science\/article\/pii\/S095741742300386Xhttps:\/\/doi.org\/10.1016\/j.eswa.2023.119885","DOI":"10.1016\/j.eswa.2023.119885"},{"key":"8502_CR71","doi-asserted-by":"crossref","first-page":"47713","DOI":"10.1109\/ACCESS.2020.2979060","volume":"8","author":"R Zhu","year":"2020","unstructured":"Zhu R, Chen J, Kang B (2020) Power law and dimension of the maximum value for belief distribution with the maximum Deng entropy. IEEE Access 8:47713\u201347719","journal-title":"IEEE Access"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-023-08502-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00500-023-08502-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-023-08502-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,4,9]],"date-time":"2025-04-09T16:32:35Z","timestamp":1744216355000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00500-023-08502-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,6,1]]},"references-count":71,"journal-issue":{"issue":"16","published-print":{"date-parts":[[2023,8]]}},"alternative-id":["8502"],"URL":"https:\/\/doi.org\/10.1007\/s00500-023-08502-4","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,6,1]]},"assertion":[{"value":"2 May 2023","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 June 2023","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"All the authors certify that there is no conflict of interest with any individual or organization for this work.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"This article does not contain any studies with human participants or animals performed by any of the authors.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethics approval"}},{"value":"Informed consent was obtained from all individual participants included in the study.","order":4,"name":"Ethics","group":{"name":"EthicsHeading","label":"Consent to participate"}},{"value":"The participant has consented to the submission of the case report to the journal.","order":5,"name":"Ethics","group":{"name":"EthicsHeading","label":"Consent for publication"}},{"value":"The code of the current study is available from the corresponding author on reasonable request.","order":6,"name":"Ethics","group":{"name":"EthicsHeading","label":"Code availability"}}]}}