{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,17]],"date-time":"2025-10-17T14:23:26Z","timestamp":1760711006272,"version":"3.37.3"},"reference-count":38,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2022,7,29]],"date-time":"2022-07-29T00:00:00Z","timestamp":1659052800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2022,7,29]],"date-time":"2022-07-29T00:00:00Z","timestamp":1659052800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100012325","name":"National Office for Philosophy and Social Sciences","doi-asserted-by":"publisher","award":["21BJY027"],"award-info":[{"award-number":["21BJY027"]}],"id":[{"id":"10.13039\/501100012325","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Complex Intell. Syst."],"published-print":{"date-parts":[[2023,2]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>The Weighted Influence Nonlinear Measurement System (WINGS) method originates from DEMATEL, which has the advantage of analyzing the interweaved determinants and the causal relationships within them. The innovation is mainly reflected in considering both the strength of the influencing factors themselves and the relationship of their mutual influence. To address the problems of ambiguity in assessing information and uncertainty in the judgment of expert group, this paper proposes fuzzy WINGS improved by D numbers (fuzzy D-WINGS). Combining D numbers with Triangular fuzzy numbers can overcome the limitation of mutually exclusive and collectively extensive set. The WINGS method is used to reveal the interdependent causal relationships by recognizing the orientation and strength of the factors. Utilizing the MICMAC method to draw matrix analysis diagrams can further reveal the relationship among them. Finally, a practical case study is conducted to prove the practicability of this fuzzy D-WINGS\u2013MICMAC method.<\/jats:p>","DOI":"10.1007\/s40747-022-00832-4","type":"journal-article","created":{"date-parts":[[2022,7,29]],"date-time":"2022-07-29T08:08:03Z","timestamp":1659082083000},"page":"719-731","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["The fuzzy Weighted Influence Nonlinear Gauge System method extended with D numbers and MICMAC"],"prefix":"10.1007","volume":"9","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5436-1763","authenticated-orcid":false,"given":"Muwen","family":"Wang","sequence":"first","affiliation":[]},{"given":"Yuan","family":"Tian","sequence":"additional","affiliation":[]},{"given":"Kecheng","family":"Zhang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,7,29]]},"reference":[{"key":"832_CR1","doi-asserted-by":"publisher","first-page":"1","DOI":"10.3233\/JIFS-219170","volume":"42","author":"A Tolga","year":"2022","unstructured":"Tolga A, Basar M (2022) The assessment of a smart system in hydroponic vertical farming via fuzzy MCDM methods. J Intell Fuzzy Syst 42:1\u201312. https:\/\/doi.org\/10.3233\/JIFS-219170","journal-title":"J Intell Fuzzy Syst"},{"key":"832_CR2","doi-asserted-by":"publisher","first-page":"34","DOI":"10.1016\/j.asoc.2018.01.018","volume":"66","author":"U Asan","year":"2018","unstructured":"Asan U, Kadaifci C, Bozdag E, Soyer A, Serdarasan S (2018) A new approach to DEMATEL based on interval-valued hesitant fuzzy sets. Appl Soft Comput 66:34\u201349. https:\/\/doi.org\/10.1016\/j.asoc.2018.01.018","journal-title":"Appl Soft Comput"},{"key":"832_CR3","doi-asserted-by":"publisher","first-page":"133","DOI":"10.1016\/j.ins.2016.02.049","volume":"352\u2013353","author":"S-M Chen","year":"2016","unstructured":"Chen S-M, Chang C-H (2016) Fuzzy multiattribute decision making based on transformation techniques of intuitionistic fuzzy values and intuitionistic fuzzy geometric averaging operators. Inf Sci 352\u2013353:133\u2013149","journal-title":"Inf Sci"},{"key":"832_CR4","doi-asserted-by":"publisher","first-page":"99","DOI":"10.1016\/j.asoc.2020.106948","volume":"2021","author":"G Bakioglu","year":"2021","unstructured":"Bakioglu G, Atahan A (2021) AHP integrated TOPSIS and VIKOR methods with Pythagorean fuzzy sets to prioritize risks in self-driving vehicles. Appl Soft Comput 2021:99. https:\/\/doi.org\/10.1016\/j.asoc.2020.106948","journal-title":"Appl Soft Comput"},{"key":"832_CR5","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2019.105559","volume":"82","author":"H Seiti","year":"2019","unstructured":"Seiti H, Hafezalkotob A, Najafi SE, Khalaj M (2019) Developing a Novel risk-based MCDM approach based on D numbers and fuzzy information axiom and its applications in preventive maintenance planning. Appl Soft Comput 82:105559","journal-title":"Appl Soft Comput"},{"key":"832_CR6","doi-asserted-by":"publisher","first-page":"462","DOI":"10.1016\/j.asoc.2017.06.013","volume":"59","author":"H Zhang","year":"2017","unstructured":"Zhang H, Peng H, Wang J, Wang J (2017) An extended outranking approach for multi-criteria decision-making problems with linguistic intuitionistic fuzzy numbers. Appl Soft Comput 59:462\u2013474. https:\/\/doi.org\/10.1016\/j.asoc.2017.06.013","journal-title":"Appl Soft Comput"},{"key":"832_CR7","volume":"40","author":"S Hadi Mousavi-Nasab","year":"2020","unstructured":"Hadi Mousavi-Nasab S, Sotoudeh-Anvari A (2020) An Extension of best-worst method with D numbers: application in evaluation of renewable energy resources. Sustain Energy Technol Assess 40:100771","journal-title":"Sustain Energy Technol Assess"},{"key":"832_CR8","doi-asserted-by":"publisher","first-page":"1019","DOI":"10.1007\/s12559-021-09883-0","volume":"13","author":"G Borah","year":"2021","unstructured":"Borah G, Dutta P (2021) Multi-attribute cognitive decision making via convex combination of weighted vector similarity measures for single-valued neutrosophic sets. Cogn Comput 13:1019\u20131033. https:\/\/doi.org\/10.1007\/s12559-021-09883-0","journal-title":"Cogn Comput"},{"key":"832_CR9","doi-asserted-by":"publisher","first-page":"239","DOI":"10.1016\/bs.mcps.2020.02.004","volume":"4","author":"H Karunathilake","year":"2020","unstructured":"Karunathilake H, Bakhtavar E, Chhipi-Shrestha G, Mian HR, Hewage K, Sadiq R (2020) Decision making for risk management: a multi-criteria perspective. Methods Chem Process Saf 4:239\u2013287","journal-title":"Methods Chem Process Saf"},{"key":"832_CR10","doi-asserted-by":"publisher","first-page":"560","DOI":"10.1007\/s12559-019-09641-3","volume":"11","author":"P Liu","year":"2019","unstructured":"Liu P, Zhang X (2019) A multicriteria decision-making approach with linguistic D numbers based on the Choquet integral. Cogn Comput 11:560\u2013575. https:\/\/doi.org\/10.1007\/s12559-019-09641-3","journal-title":"Cogn Comput"},{"key":"832_CR11","doi-asserted-by":"publisher","first-page":"683","DOI":"10.1007\/s00500-017-2993-9","volume":"23","author":"X Deng","year":"2019","unstructured":"Deng X, Deng Y (2019) D-AHP method with different credibility of information. Soft Comput 23:683\u2013691. https:\/\/doi.org\/10.1007\/s00500-017-2993-9","journal-title":"Soft Comput"},{"key":"832_CR12","doi-asserted-by":"publisher","first-page":"831","DOI":"10.1142\/S0218488516500379","volume":"24","author":"H Mo","year":"2016","unstructured":"Mo H, Deng Y (2016) A new aggregating operator for linguistic information based on D numbers. Int J Unc Fuzz Knowl Based Syst 24:831\u2013846","journal-title":"Int J Unc Fuzz Knowl Based Syst"},{"key":"832_CR13","doi-asserted-by":"publisher","first-page":"10885","DOI":"10.1007\/s00500-021-05786-2","volume":"25","author":"M Pourmehdi","year":"2021","unstructured":"Pourmehdi M, Paydar M, Asadi-Gangraj E (2021) Reaching sustainability through collection center selection considering risk: using the integration of fuzzy ANP-TOPSIS and FMEA. Soft Comput 25:10885\u201310899. https:\/\/doi.org\/10.1007\/s00500-021-05786-2","journal-title":"Soft Comput"},{"key":"832_CR14","doi-asserted-by":"publisher","DOI":"10.1007\/s11356-021-17851-2","author":"A Afrasiabi","year":"2021","unstructured":"Afrasiabi A, Tavana M, Di-Caprio D (2021) An extended hybrid fuzzy multi-criteria decision model for sustainable and resilient supplier selection. Env Sci Pollut Res. https:\/\/doi.org\/10.1007\/s11356-021-17851-2","journal-title":"Env Sci Pollut Res"},{"key":"832_CR15","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2021.107222","volume":"105","author":"Y Chen","year":"2021","unstructured":"Chen Y, Ran Y, Huang G, Xiao L, Zhang G (2021) A new integrated MCDM approach for improving QFD based on DEMATEL and extended MULTIMOORA under uncertainty environment. Appl Soft Comput 105:107222","journal-title":"Appl Soft Comput"},{"key":"832_CR16","doi-asserted-by":"publisher","first-page":"253","DOI":"10.1007\/s00500-021-06477-8","volume":"26","author":"A Yildizbasi","year":"2022","unstructured":"Yildizbasi A, Arioz Y (2022) Green supplier selection in new era for sustainability: a novel method for integrating big data analytics and a hybrid fuzzy multi-criteria decision making. Soft Comput 26:253\u2013270. https:\/\/doi.org\/10.1007\/s00500-021-06477-8","journal-title":"Soft Comput"},{"key":"832_CR17","first-page":"4","volume":"2019","author":"Y Yu","year":"2019","unstructured":"Yu Y, He Y, Zhao X, Zhou L (2019) Certify or not? An analysis of organic food supply chain with competing suppliers. Ann Oper Res 2019:4","journal-title":"Ann Oper Res"},{"key":"832_CR18","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1016\/j.engappai.2019.103352","volume":"2020","author":"A Tolga","year":"2020","unstructured":"Tolga A, Parlak I, Castillo O (2020) Finite-Interval-Valued Type-2 Gaussian fuzzy numbers applied to fuzzy TODIM in a Healthcare problem. Eng Appl Artif Intell 2020:87. https:\/\/doi.org\/10.1016\/j.engappai.2019.103352","journal-title":"Eng Appl Artif Intell"},{"key":"832_CR19","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1016\/j.seps.2019.02.008","volume":"2020","author":"A Tolga","year":"2020","unstructured":"Tolga A (2020) Real options valuation of an IoT based healthcare device with interval Type-2 fuzzy numbers. Socio-Econ Plan Sci 2020:69. https:\/\/doi.org\/10.1016\/j.seps.2019.02.008","journal-title":"Socio-Econ Plan Sci"},{"key":"832_CR20","doi-asserted-by":"publisher","DOI":"10.1016\/j.buildenv.2020.107425","volume":"188","author":"W Wang","year":"2021","unstructured":"Wang W, Tian Z, Xi W, Tan YR, Deng Y (2021) The influencing factors of china\u2019s green building development: an analysis using RBF-WINGS method. Build Environ 188:107425","journal-title":"Build Environ"},{"key":"832_CR21","doi-asserted-by":"publisher","DOI":"10.1016\/j.scs.2019.101842","volume":"52","author":"G Akhanova","year":"2020","unstructured":"Akhanova G, Nadeem A, Kim JR, Azhar S (2020) A multi-criteria decision-making framework for building sustainability assessment in Kazakhstan. Sustain Cities Soc 52:101842","journal-title":"Sustain Cities Soc"},{"key":"832_CR22","doi-asserted-by":"publisher","first-page":"1101","DOI":"10.1287\/opre.2013.1197","volume":"61","author":"T Saaty","year":"2013","unstructured":"Saaty T (2013) The modern science of multicriteria decision making and its practical applications: the AHP\/ANP approach. Oper Res 61:1101\u20131118. https:\/\/doi.org\/10.1287\/opre.2013.1197","journal-title":"Oper Res"},{"key":"832_CR23","doi-asserted-by":"publisher","first-page":"729","DOI":"10.1142\/S0219622013500272","volume":"12","author":"A Tolga","year":"2013","unstructured":"Tolga A, Tuysuz F, Kahraman C (2013) A fuzzy multi-criteria decision analysis approach for retail location selection. Int J Inf Technol Decis Mak 12:729\u2013755. https:\/\/doi.org\/10.1142\/S0219622013500272","journal-title":"Int J Inf Technol Decis Mak"},{"key":"832_CR24","doi-asserted-by":"publisher","first-page":"293","DOI":"10.1016\/j.jclepro.2021.126023","volume":"2021","author":"S Kumar","year":"2021","unstructured":"Kumar S, Raut R, Nayal K, Kraus S, Yadav V, Narkhede B (2021) To identify industry 4.0 and circular economy adoption barriers in the agriculture supply chain by using ISM-ANP. J Clean Prod 2021:293. https:\/\/doi.org\/10.1016\/j.jclepro.2021.126023","journal-title":"J Clean Prod"},{"key":"832_CR25","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-021-04371-y","author":"V Kashav","year":"2021","unstructured":"Kashav V, Garg C, Kumar R (2021) Ranking the strategies to overcome the barriers of the maritime supply chain (MSC) of containerized freight under fuzzy environment. Ann Oper Res. https:\/\/doi.org\/10.1007\/s10479-021-04371-y","journal-title":"Ann Oper Res"},{"key":"832_CR26","doi-asserted-by":"publisher","first-page":"112","DOI":"10.1016\/j.asoc.2021.107812","volume":"2021","author":"G Buyukozkan","year":"2021","unstructured":"Buyukozkan G, Guler M (2021) A combined hesitant fuzzy MCDM approach for supply chain analytics tool evaluation. Appl Soft Comput 2021:112. https:\/\/doi.org\/10.1016\/j.asoc.2021.107812","journal-title":"Appl Soft Comput"},{"key":"832_CR27","doi-asserted-by":"publisher","first-page":"6505","DOI":"10.1007\/s00500-021-05644-1","volume":"25","author":"S Kumar","year":"2021","unstructured":"Kumar S, Barman A (2021) Fuzzy TOPSIS and Fuzzy VIKOR in selecting green suppliers for sponge iron and steel manufacturing. Soft Comput 25:6505\u20136525. https:\/\/doi.org\/10.1007\/s00500-021-05644-1","journal-title":"Soft Comput"},{"key":"832_CR28","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1016\/j.cie.2014.09.014","volume":"86","author":"\u00d6 Uygun","year":"2015","unstructured":"Uygun \u00d6, Ka\u00e7amak H, Kahraman \u00dcA (2015) An integrated DEMATEL and Fuzzy ANP techniques for evaluation and selection of outsourcing provider for a telecommunication company. Comput Ind Eng 86:137\u2013146. https:\/\/doi.org\/10.1016\/j.cie.2014.09.014","journal-title":"Comput Ind Eng"},{"key":"832_CR29","doi-asserted-by":"publisher","DOI":"10.1007\/s10668-022-02216-7","author":"M Shahidzadeh","year":"2022","unstructured":"Shahidzadeh M, Shokouhyar S (2022) Toward the closed-loop sustainability development model: a reverse logistics multi-criteria decision-making analysis. Env Dev Sustain. https:\/\/doi.org\/10.1007\/s10668-022-02216-7","journal-title":"Env Dev Sustain"},{"key":"832_CR30","doi-asserted-by":"publisher","DOI":"10.1007\/s11356-022-19137-7","author":"E Rajabpour","year":"2022","unstructured":"Rajabpour E, Fathi M, Torabi M (2022) Analysis of factors affecting the implementation of green human resource management using a hybrid fuzzy AHP and Type-2 Fuzzy DEMATEL approach. Env Sci Pollut Res. https:\/\/doi.org\/10.1007\/s11356-022-19137-7","journal-title":"Env Sci Pollut Res"},{"key":"832_CR31","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1016\/j.asoc.2021.107882","volume":"2021","author":"H Gao","year":"2021","unstructured":"Gao H, Ju Y, Gonzalez E, Zeng X, Dong P, Wang A (2021) Identifying critical causal criteria of green supplier evaluation using heterogeneous judgements: an integrated approach based on cloud model and DEMATEL. Appl Soft Comput 2021:113. https:\/\/doi.org\/10.1016\/j.asoc.2021.107882","journal-title":"Appl Soft Comput"},{"key":"832_CR32","doi-asserted-by":"publisher","first-page":"164","DOI":"10.1016\/j.cie.2021.107833","volume":"2022","author":"H Sun","year":"2022","unstructured":"Sun H, Mao W, Dang Y, Xu Y (2022) Optimum path for overcoming barriers of green construction supply chain management: a Grey possibility DEMATEL-NK approach. Comput Ind Eng 2022:164. https:\/\/doi.org\/10.1016\/j.cie.2021.107833","journal-title":"Comput Ind Eng"},{"key":"832_CR33","doi-asserted-by":"publisher","DOI":"10.1080\/00207543.2021.2002966","author":"J Liu","year":"2021","unstructured":"Liu J, Feng Y, Zhu Q (2021) Involving second-tier suppliers in green supply chain management: drivers and heterogenous understandings by firms along supply chains. Int J Prod Res. https:\/\/doi.org\/10.1080\/00207543.2021.2002966","journal-title":"Int J Prod Res"},{"key":"832_CR34","doi-asserted-by":"publisher","first-page":"536","DOI":"10.1016\/j.ejor.2013.02.007","volume":"228","author":"J Michnik","year":"2013","unstructured":"Michnik J (2013) Weighted influence non-linear gauge system (WINGS)\u2014an analysis method for the systems of interrelated components. Eur J Oper Res 228:536\u2013544. https:\/\/doi.org\/10.1016\/j.ejor.2013.02.007","journal-title":"Eur J Oper Res"},{"key":"832_CR35","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclepro.2020.122714","volume":"272","author":"MA Kaviani","year":"2020","unstructured":"Kaviani MA, Tavana M, Kumar A, Michnik J, Niknam R, de Campos EAR (2020) An integrated framework for evaluating the barriers to successful implementation of reverse logistics in the automotive industry. J Clean Prod 272:122714","journal-title":"J Clean Prod"},{"key":"832_CR36","doi-asserted-by":"publisher","first-page":"485","DOI":"10.1016\/j.jclepro.2019.04.145","volume":"228","author":"Z Chen","year":"2019","unstructured":"Chen Z, Ming X, Zhang X, Yin D, Sun Z (2019) A Rough-Fuzzy DEMATEL-ANP method for evaluating sustainable value requirement of product service system. J Clean Prod 228:485\u2013508. https:\/\/doi.org\/10.1016\/j.jclepro.2019.04.145","journal-title":"J Clean Prod"},{"key":"832_CR37","doi-asserted-by":"publisher","first-page":"8851","DOI":"10.1007\/s11356-021-16111-7","volume":"29","author":"M Usmani","year":"2022","unstructured":"Usmani M, Wang J, Ahmad N, Ullah Z, Iqbal M, Ismail M (2022) Establishing a corporate social responsibility implementation model for promoting sustainability in the food sector: a hybrid approach of expert mining and ISM-MICMAC. Env Sci Pollut Res 29:8851\u20138872. https:\/\/doi.org\/10.1007\/s11356-021-16111-7","journal-title":"Env Sci Pollut Res"},{"key":"832_CR38","doi-asserted-by":"publisher","first-page":"1348","DOI":"10.1108\/02635571211278965","volume":"112","author":"J Pan","year":"2012","unstructured":"Pan J, Chen S (2012) A new approach for assessing the correlated risk. Ind Manag Data Syst 112:1348\u20131365. https:\/\/doi.org\/10.1108\/02635571211278965","journal-title":"Ind Manag Data Syst"}],"container-title":["Complex &amp; Intelligent Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40747-022-00832-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s40747-022-00832-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40747-022-00832-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,22]],"date-time":"2023-02-22T18:57:17Z","timestamp":1677092237000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s40747-022-00832-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,7,29]]},"references-count":38,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2023,2]]}},"alternative-id":["832"],"URL":"https:\/\/doi.org\/10.1007\/s40747-022-00832-4","relation":{},"ISSN":["2199-4536","2198-6053"],"issn-type":[{"type":"print","value":"2199-4536"},{"type":"electronic","value":"2198-6053"}],"subject":[],"published":{"date-parts":[[2022,7,29]]},"assertion":[{"value":"25 February 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 July 2022","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 July 2022","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}