{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,29]],"date-time":"2026-01-29T18:15:54Z","timestamp":1769710554579,"version":"3.49.0"},"reference-count":41,"publisher":"SAGE Publications","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2023,8,1]]},"abstract":"<jats:p>In this paper, the problems of expressing and fusing multi-channel uncertain digital information is studied. The concept of a special high-dimensional fuzzy number called multi-level linear fuzzy ellipsoid number is given, and a method of constructing such high dimensional fuzzy number to express multi-channel uncertain digital information is established. Then a calculation formula of the centroid of multistage linear fuzzy ellipsoid number is deduced. And then, as an application example of multi-channel uncertain digital information fusion, a specific example is given to show ranking some objects which are characterized by multi-channel uncertain digital information by using the obtained results and the concept of fuzzy order on high dimensional fuzzy number space.<\/jats:p>","DOI":"10.3233\/jifs-222761","type":"journal-article","created":{"date-parts":[[2023,5,30]],"date-time":"2023-05-30T11:10:39Z","timestamp":1685445039000},"page":"2551-2563","source":"Crossref","is-referenced-by-count":1,"title":["Constructing multistage linear fuzzy ellipsoid number to express multi-channel uncertain digital information and application"],"prefix":"10.1177","volume":"45","author":[{"given":"Tengfei","family":"Wang","sequence":"first","affiliation":[{"name":"College of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin, China"}]},{"given":"Peng","family":"Shi","sequence":"additional","affiliation":[{"name":"School of Electrical and Mechanical Engineering, The University of Adelaide, Adelaide, Australia"},{"name":"School of Information Science and Technology, Fujiang University of Technology, Fuzhou, China"}]}],"member":"179","reference":[{"key":"10.3233\/JIFS-222761_ref1","doi-asserted-by":"crossref","first-page":"1624","DOI":"10.1007\/s40815-018-0468-5","article-title":"Pricing European options with triangular fuzzy parameters: Assessing alternative triangular approximations in the Spanish stock option market","volume":"20","author":"Andr\u013a\u0229-S\u013a\u00e9nchez","year":"2018","journal-title":"International Journal of Fuzzy Systems"},{"key":"10.3233\/JIFS-222761_ref2","doi-asserted-by":"crossref","first-page":"1253","DOI":"10.3233\/IFS-130811","article-title":"Fuzzy Voronoi diagram for dis-joint fuzzy numbers of dimension two","volume":"26","author":"Arotaritei","year":"2014","journal-title":"Journal of Intelligent and Fuzzy Systems"},{"key":"10.3233\/JIFS-222761_ref3","first-page":"1","article-title":"On fuzzy mappings and control","volume":"2","author":"Chang","year":"1972","journal-title":"IEEE Trans Syst Man Cybernet"},{"key":"10.3233\/JIFS-222761_ref4","doi-asserted-by":"crossref","first-page":"13351","DOI":"10.1007\/s00500-019-03876-w","article-title":"Considers developing the fuzzy pattern of European call option under the assumption of the stock return being a Gaussian fuzzy number","volume":"23","author":"Chen","year":"2019","journal-title":"Soft Computing"},{"key":"10.3233\/JIFS-222761_ref5","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1016\/j.fss.2013.02.005","article-title":"Nearest piecewise linear approximation of fuzzy numbers","volume":"233","author":"Coroianu","year":"2014","journal-title":"Fuzzy Sets and Systems"},{"key":"10.3233\/JIFS-222761_ref6","doi-asserted-by":"crossref","first-page":"1638","DOI":"10.1016\/j.apm.2013.09.012","article-title":"Comparing and ranking fuzzy numbers using ideal solutions","volume":"38","author":"Deng","year":"2014","journal-title":"Applied Mathematical Modelling"},{"key":"10.3233\/JIFS-222761_ref7","doi-asserted-by":"crossref","first-page":"373","DOI":"10.3233\/IFS-120643","article-title":"Proposing a revised method for ranking fuzzy numbers","volume":"25","author":"Eslamipoor","year":"2013","journal-title":"Journal of Intelligent and Fuzzy Systems"},{"key":"10.3233\/JIFS-222761_ref8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.fss.2018.04.005","article-title":"Fuzzy Laplace transform based on the Henstock integral and its applications in discontinuous fuzzy systems","volume":"358","author":"Gong","year":"2019","journal-title":"Fuzzy Sets and Systems"},{"key":"10.3233\/JIFS-222761_ref9","doi-asserted-by":"crossref","first-page":"674","DOI":"10.1016\/j.cam.2016.05.017","article-title":"A new approach for ranking fuzzy numbers based on possibility theory","volume":"309","author":"Gu","year":"2017","journal-title":"Journal of Computational and Applied Mathematics"},{"issue":"2020","key":"10.3233\/JIFS-222761_ref10","first-page":"158","article-title":"Weighted pseudometric approximation of 2-dimensional fuzzy numbers by fuzzy 2-cell prismoid numbers preserving the centroid","volume":"387","author":"Hai","journal-title":"Fuzzy Sets and Systems"},{"key":"10.3233\/JIFS-222761_ref11","doi-asserted-by":"crossref","first-page":"727","DOI":"10.1007\/s00521-013-1541-5","article-title":"A developed distance method for ranking generalized fuzzy numbers","volume":"25","author":"Haji","year":"2014","journal-title":"Neural Comput and Applic"},{"key":"10.3233\/JIFS-222761_ref12","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/j.ins.2012.12.016","article-title":"The law of large numbers and renewal process forT-related weighted fuzzy numbers on Rp","volume":"228","author":"Hong","year":"2013","journal-title":"Information Sciences"},{"key":"10.3233\/JIFS-222761_ref13","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1016\/j.fss.2016.03.002","article-title":"Ranking methods for fuzzy numbers: The solution to Brunelli and Mezei\u2019s conjecture","volume":"315","author":"Kim","year":"2017","journal-title":"Fuzzy Sets and Systems"},{"key":"10.3233\/JIFS-222761_ref14","doi-asserted-by":"crossref","first-page":"1211","DOI":"10.1016\/0378-4266(95)00052-6","article-title":"Pricing Black-Scholes options with correlated credit risk","volume":"20","author":"Klein","year":"1996","journal-title":"Journal of Banking & Finance"},{"key":"10.3233\/JIFS-222761_ref15","doi-asserted-by":"crossref","first-page":"5213","DOI":"10.1007\/s11831-022-09779-8","article-title":"A systematic review on generalized fuzzy numbers and its applications: past, present and future","volume":"29","author":"Kumar","year":"2022","journal-title":"Archives of Computational Methods in Engineering"},{"key":"10.3233\/JIFS-222761_ref16","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1016\/j.engappai.2016.02.009","article-title":"A new fuzzy regression model based on least absoluted eviation","volume":"52","author":"Li","year":"2016","journal-title":"Engineering Applications of Artificial Intelligence"},{"key":"10.3233\/JIFS-222761_ref17","first-page":"1","article-title":"Approximations of fuzzy numbers by usingr\u00a0-\u00a0s-piecewise linear fuzzy numbers based on weighted metric","volume":"145","author":"Lv","year":"2022","journal-title":"Mathematics"},{"key":"10.3233\/JIFS-222761_ref18","doi-asserted-by":"crossref","unstructured":"Lv H. , Wang G. and Li C. , Approximations of n-dimensional fuzzy numbers by using \u03b1\u00a0-\u00a0\u03b2-knots piecewise linear fuzzy n-cell numbers, Fuzzy Sets and Systems. https:\/\/doi.org\/10.1016\/j.fss.2023.02.015.","DOI":"10.1016\/j.fss.2023.02.015"},{"key":"10.3233\/JIFS-222761_ref19","doi-asserted-by":"crossref","first-page":"210","DOI":"10.1007\/s10559-022-00452-3","article-title":"Minimum of fuzzy numbers with a fuzzy set of operands","volume":"58","author":"Mashchenko","year":"2022","journal-title":"Cybernetics and Systems Analysis"},{"key":"10.3233\/JIFS-222761_ref20","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.ins.2013.01.023","article-title":"Fuzzy numbers from raw discrete data using linear regression","volume":"233","author":"Moreno-Garcia","year":"2013","journal-title":"Information Sciences"},{"key":"10.3233\/JIFS-222761_ref21","doi-asserted-by":"crossref","first-page":"861","DOI":"10.1016\/S0165-1889(03)00060-5","article-title":"A multiperiod binomial model forpricing options in a vague world","volume":"28","author":"Muzzioli","year":"2004","journal-title":"Journal of Economic Dynamicsand Control"},{"key":"10.3233\/JIFS-222761_ref22","doi-asserted-by":"crossref","first-page":"140","DOI":"10.1016\/j.ijar.2007.06.011","article-title":"American option pricing with imprecise risk-neutral probabilities","volume":"49","author":"Muzzioli","year":"2008","journal-title":"International Journal of Approximate Reasoning"},{"key":"10.3233\/JIFS-222761_ref23","first-page":"49","article-title":"A model for pricing an option with afuzzy payoff","volume":"5","author":"Muzzioli","year":"2009","journal-title":"Fuzzy Economic Review"},{"key":"10.3233\/JIFS-222761_ref24","first-page":"1","article-title":"On the properties of thefuzzy weighted average of fuzzy numbers with normalized fuzzy weights","volume":"18","author":"Pavla\u00e7ka","year":"2021","journal-title":"Iranian Journal of Fuzzy Systems"},{"issue":"2013","key":"10.3233\/JIFS-222761_ref25","first-page":"65","article-title":"Binary option pricing using fuzzy numbers","volume":"28","author":"Thavaneswaran","journal-title":"Applied Mathematics Letters"},{"key":"10.3233\/JIFS-222761_ref26","doi-asserted-by":"crossref","first-page":"614","DOI":"10.1109\/TFUZZ.2016.2566814","article-title":"The ranking of multi-dimensional uncertain information based on metrics on the fuzzy ellipsoid number space","volume":"25","author":"Wang","year":"2017","journal-title":"IEEE Transactions on Fuzzy Systems"},{"key":"10.3233\/JIFS-222761_ref27","doi-asserted-by":"crossref","first-page":"3597","DOI":"10.3233\/JIFS-191896","article-title":"Approximation of fuzzy numbers byusing multi-knots piecewise linear fuzzy numbers","volume":"39","author":"Wang","year":"2020","journal-title":"Journal ofIntelligent & Fuzzy Systems"},{"key":"10.3233\/JIFS-222761_ref28","doi-asserted-by":"crossref","first-page":"391","DOI":"10.3233\/IFS-162152","article-title":"On fuzzy ellipsoid numbersand membership functions","volume":"31","author":"Wang","year":"2016","journal-title":"Journal of Intelligent & FuzzySystems"},{"key":"10.3233\/JIFS-222761_ref29","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1109\/TFUZZ.2008.2012352","article-title":"Representation of uncertain multi-channel digital signal spaces and study of pattern recognition based on metrics and diferrence values on fuzzy n-ell number spaces","volume":"17","author":"Wang","year":"2009","journal-title":"IEEE Trans on Fuzzy Systems"},{"key":"10.3233\/JIFS-222761_ref30","doi-asserted-by":"crossref","first-page":"919","DOI":"10.1007\/s00500-019-04612-0","article-title":"Solving fuzzy regression equation and its approximation for random fuzzy variable and their application","volume":"24","author":"Wang","year":"2020","journal-title":"Soft Computing"},{"key":"10.3233\/JIFS-222761_ref31","doi-asserted-by":"crossref","first-page":"1113","DOI":"10.1109\/TFUZZ.2013.2282167","article-title":"Fuzzy n-ellipsoid numbersand representations of uncertain multi channel digital information","volume":"22","author":"Wang","year":"2014","journal-title":"IEEE Trans on Fuzzy Systems"},{"key":"10.3233\/JIFS-222761_ref32","doi-asserted-by":"crossref","first-page":"3846","DOI":"10.1016\/j.ins.2011.04.032","article-title":"Fuzzy approximation relations on fuzzyn-cell number space and their applications in classification","volume":"181","author":"Wang","year":"2011","journal-title":"Information Sciences"},{"key":"10.3233\/JIFS-222761_ref33","doi-asserted-by":"crossref","first-page":"3067","DOI":"10.1007\/s40815-022-01305-z","article-title":"Expressing and ranking of uncertain digital information by using multi-knots piecewise linear fuzzy numbers","volume":"24","author":"Wang","year":"2022","journal-title":"International Journal of Fuzzy Systems"},{"issue":"2022","key":"10.3233\/JIFS-222761_ref34","first-page":"3548","article-title":"Fuzzy option pricing based on fuzzynumber binary tree model","volume":"30","author":"Wang","journal-title":"IEEE Trans on Fuzzy Systems"},{"key":"10.3233\/JIFS-222761_ref35","doi-asserted-by":"crossref","first-page":"6555","DOI":"10.3233\/JIFS-18357","article-title":"Dynamic ranking of multi-dimensional uncertain information based on fuzzy order on the fuzzy ellipsoid number space","volume":"36","author":"Wang","year":"2019","journal-title":"Journal of Intelligent & Fuzzy Systems"},{"key":"10.3233\/JIFS-222761_ref36","first-page":"29","article-title":"Calculation of centroid of high dimensional fuzzy number and application","volume":"18","author":"Wang","year":"2021","journal-title":"Iranian Journal of Fuzzy Systems"},{"key":"10.3233\/JIFS-222761_ref37","doi-asserted-by":"crossref","first-page":"136","DOI":"10.1016\/j.amc.2006.07.015","article-title":"Using fuzzy sets theory and Black Scholes formula to generate pricing boundaries of European options","volume":"185","author":"Wu","year":"2007","journal-title":"Applied Mathematics and Computation"},{"key":"10.3233\/JIFS-222761_ref38","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1142\/S0218488518500083","article-title":"A binomial tree approach to pricing vulnerable option in a vague world","volume":"26","author":"Xu","year":"2018","journal-title":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems"},{"key":"10.3233\/JIFS-222761_ref39","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1016\/j.fss.2018.05.010","article-title":"Ill-posedness for fuzzy Fredholm integral equations of the first kind and regularization methods","volume":"358","author":"Yang","year":"2019","journal-title":"Fuzzy Sets and Systems"},{"key":"10.3233\/JIFS-222761_ref40","doi-asserted-by":"crossref","first-page":"541","DOI":"10.3233\/IFS-120710","article-title":"Hierarchical tree clustering of fuzzy number","volume":"26","author":"Yazdi","year":"2014","journal-title":"Journal of Intelligent & Fuzzy Systems"},{"key":"10.3233\/JIFS-222761_ref41","unstructured":"Zhu Y. , Wang G. and Li C. , Weighted approximation of fuzzy numbersby using m\u00a0-\u00a0n-Step Type Fuzzy Number, (Accepted), Iranian Journal of Fuzzy Systems."}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/JIFS-222761","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,1,29]],"date-time":"2026-01-29T08:48:19Z","timestamp":1769676499000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/JIFS-222761"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,8,1]]},"references-count":41,"journal-issue":{"issue":"2"},"URL":"https:\/\/doi.org\/10.3233\/jifs-222761","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,8,1]]}}}