{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,13]],"date-time":"2025-12-13T23:10:44Z","timestamp":1765667444238,"version":"build-2065373602"},"reference-count":91,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2023,10,25]],"date-time":"2023-10-25T00:00:00Z","timestamp":1698192000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Science and Technology Research Program of Chongqing Municipal Education Commission","award":["KJQN202101617","22SKGH457","22SKGH451","20SKGH256","2022NDYB67","KY202308B","CSTB2022NSCQ-MSX1057"],"award-info":[{"award-number":["KJQN202101617","22SKGH457","22SKGH451","20SKGH256","2022NDYB67","KY202308B","CSTB2022NSCQ-MSX1057"]}]},{"name":"General Project of Humanities and Social Science Research of Chongqing Education Commission in 2022","award":["KJQN202101617","22SKGH457","22SKGH451","20SKGH256","2022NDYB67","KY202308B","CSTB2022NSCQ-MSX1057"],"award-info":[{"award-number":["KJQN202101617","22SKGH457","22SKGH451","20SKGH256","2022NDYB67","KY202308B","CSTB2022NSCQ-MSX1057"]}]},{"name":"Key project of Humanities and Social Science Research of Chongqing Education Commission in 2022","award":["KJQN202101617","22SKGH457","22SKGH451","20SKGH256","2022NDYB67","KY202308B","CSTB2022NSCQ-MSX1057"],"award-info":[{"award-number":["KJQN202101617","22SKGH457","22SKGH451","20SKGH256","2022NDYB67","KY202308B","CSTB2022NSCQ-MSX1057"]}]},{"name":"Planning Project of Humanities and Social Science Research of Chongqing Education Commission in 2020","award":["KJQN202101617","22SKGH457","22SKGH451","20SKGH256","2022NDYB67","KY202308B","CSTB2022NSCQ-MSX1057"],"award-info":[{"award-number":["KJQN202101617","22SKGH457","22SKGH451","20SKGH256","2022NDYB67","KY202308B","CSTB2022NSCQ-MSX1057"]}]},{"name":"Social Science Planning Project of Chongqing","award":["KJQN202101617","22SKGH457","22SKGH451","20SKGH256","2022NDYB67","KY202308B","CSTB2022NSCQ-MSX1057"],"award-info":[{"award-number":["KJQN202101617","22SKGH457","22SKGH451","20SKGH256","2022NDYB67","KY202308B","CSTB2022NSCQ-MSX1057"]}]},{"name":"University-Level Key Research Project of Chongqing University of Education in 2023","award":["KJQN202101617","22SKGH457","22SKGH451","20SKGH256","2022NDYB67","KY202308B","CSTB2022NSCQ-MSX1057"],"award-info":[{"award-number":["KJQN202101617","22SKGH457","22SKGH451","20SKGH256","2022NDYB67","KY202308B","CSTB2022NSCQ-MSX1057"]}]},{"name":"Natural Science Foundation of Chongqing, China","award":["KJQN202101617","22SKGH457","22SKGH451","20SKGH256","2022NDYB67","KY202308B","CSTB2022NSCQ-MSX1057"],"award-info":[{"award-number":["KJQN202101617","22SKGH457","22SKGH451","20SKGH256","2022NDYB67","KY202308B","CSTB2022NSCQ-MSX1057"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>During the development process of complex products, selecting the best desirable alternative supplier is a challenge since an improperly selected alternative may cause losing capacity and increasing the cycle time and cost of development for a company. For this multiple-attribute decision-making problem of supplier selection, in this paper, a supplier selection problem in which the decision data are hesitant fuzzy information and the attribute weight is unknown in complex product development is investigated, and a supplier selection decision-making approach based on hesitant fuzzy information is proposed. Firstly, a bidirectional projection based on hesitant fuzzy information is established, and then the measurement equation for the degree of closeness is improved. Further, an attribute weight determination model which minimizes the projection total deviation for the hesitant fuzzy elements is constructed. By solving this model, scientific and reasonable attribute weights are provided. Subsequently, an illustrative example is employed to not only give the ranking result of alternative suppliers but also demonstrate the validity and feasibility of the developed approach. Meanwhile, sensitivity analysis and comparative analysis are put forward to illustrate the stability of the given final ranking result and the advantages and reliability of the constructed method. For alternative or strategy selection, this proposed approach can be used as a decision-making means when uncertainties are inherent.<\/jats:p>","DOI":"10.3390\/axioms12111006","type":"journal-article","created":{"date-parts":[[2023,10,26]],"date-time":"2023-10-26T02:40:07Z","timestamp":1698288007000},"page":"1006","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A Supplier Selection Decision-Making Approach for Complex Product Development Based on Hesitant Fuzzy Information"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6933-965X","authenticated-orcid":false,"given":"Baodong","family":"Li","sequence":"first","affiliation":[{"name":"School of Economics and Business Administration, Chongqing University of Education, Chongqing 400067, China"},{"name":"Institute of Financial Development and Socialization, Chongqing University of Education, Chongqing 400067, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6001-5744","authenticated-orcid":false,"given":"Jiafu","family":"Su","sequence":"additional","affiliation":[{"name":"International College, Krirk University, Bangkok 10220, Thailand"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Boqiao","family":"Yuan","sequence":"additional","affiliation":[{"name":"School of Economics and Business Administration, Chongqing University of Education, Chongqing 400067, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lvcheng","family":"Li","sequence":"additional","affiliation":[{"name":"School of Entrepreneurship, Wuhan University of Technology, Wuhan 430070, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yihuan","family":"Zhao","sequence":"additional","affiliation":[{"name":"School of Economics and Business Administration, Chongqing University of Education, Chongqing 400067, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhidan","family":"Qin","sequence":"additional","affiliation":[{"name":"School of Economics and Business Administration, Chongqing University of Education, Chongqing 400067, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Li","family":"Qian","sequence":"additional","affiliation":[{"name":"School of Economics and Business Administration, Chongqing University of Education, Chongqing 400067, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,10,25]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"104989","DOI":"10.1016\/j.knosys.2019.104989","article-title":"Two-sided matching model for complex product manufacturing tasks based on dual hesitant fuzzy preference information","volume":"186","author":"Li","year":"2019","journal-title":"Knowl. Based Syst."},{"key":"ref_2","first-page":"64","article-title":"How smart, connected products are transforming competition","volume":"92","author":"Porter","year":"2014","journal-title":"Harv. Bus. Rev."},{"key":"ref_3","first-page":"804","article-title":"Multi-stage two-sided matching model for main manufacturer and suppliers of complex products with multi-form preference ordinal","volume":"24","author":"Zhang","year":"2018","journal-title":"Comput. Integr. Manuf. Syst."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1173","DOI":"10.1126\/science.1242210","article-title":"Advanced manufacturing policies and paradigms for innovation","volume":"342","author":"Bonvillan","year":"2013","journal-title":"Science"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1291","DOI":"10.1080\/0951192X.2014.972462","article-title":"Towards a wisdom manufacturing vision","volume":"28","author":"Yao","year":"2014","journal-title":"Int. J. Comput. Integr. Manuf."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"3872","DOI":"10.1016\/j.eswa.2012.12.040","article-title":"Application of decision making technique in supplier selection: A systematic review of literature","volume":"40","author":"Chai","year":"2013","journal-title":"Expert Syst. Appl."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"66","DOI":"10.1016\/j.jclepro.2013.06.046","article-title":"Multi-criteria decision making approaches for green supplier evaluation and selection: A literature review","volume":"98","author":"Govindan","year":"2015","journal-title":"J. Clean. Prod."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"626","DOI":"10.1016\/j.ejor.2016.09.059","article-title":"An extended TODM multi-criteria group decision making method for green supplier selection in interval type-2 fuzzy environment","volume":"258","author":"Qin","year":"2017","journal-title":"Eur. J. Oper. Res."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1016\/j.ijpe.2011.03.005","article-title":"Supplier selection-order allocation: A two-stage multiple criteria dynamic programming approach","volume":"132","author":"Mafakheri","year":"2011","journal-title":"Int. J. Prod. Econ."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1494","DOI":"10.1080\/0305215X.2019.1663185","article-title":"Sustainable supplier selection and order allocation: A fuzzy approach","volume":"52","author":"Khoshfetrat","year":"2020","journal-title":"Eng. Optim."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1016\/j.ins.2015.12.032","article-title":"A two-stage fuzzy approach for supplier evaluation and order allocation problem with quantity discounts and lead time","volume":"339","author":"Cebi","year":"2016","journal-title":"Inf. Sci."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1016\/j.jclepro.2018.04.131","article-title":"An integrated methodology for a sustainable two stage supplier selection and order allocation problem","volume":"192","author":"Mohammed","year":"2018","journal-title":"J. Clean. Prod."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"587","DOI":"10.1007\/s10479-019-03354-4","article-title":"A weight consistent model for fuzzy supplier selection and order allocation problem","volume":"293","author":"Suprasongsin","year":"2020","journal-title":"Ann. Oper. Res."},{"key":"ref_14","first-page":"7129","article-title":"Supplier selection model using VIKOR method under single-valued neutrosophic environment","volume":"20","author":"Liu","year":"2020","journal-title":"Sci. Technol. Eng."},{"key":"ref_15","first-page":"154","article-title":"Risk assessment for suppliers in the air subcontracting production based on the entropy weight and TOPSIS","volume":"38","author":"Zhu","year":"2020","journal-title":"Syst. Eng."},{"key":"ref_16","first-page":"33","article-title":"Integrated optimization model and solution for supplier selection and order allocation based on risk-mean analysis","volume":"31","author":"Wang","year":"2022","journal-title":"Oper. Res. Manag. Sci."},{"key":"ref_17","first-page":"393","article-title":"Sustainable supplier selection based on R-DEMATEL-MABAC method","volume":"50","author":"Dong","year":"2022","journal-title":"J. Zhejiang Univ. Technol."},{"key":"ref_18","first-page":"78","article-title":"Sustainable supplier selection in strategic emerging industry based on fuzzy VIKOR","volume":"45","author":"Liang","year":"2023","journal-title":"Logist. Eng. Manag."},{"key":"ref_19","first-page":"61","article-title":"Study on Supplier Selection Evaluation of Equipment Manufacturing Industry Based on Grey Correlation Degree","volume":"4","author":"Zhang","year":"2023","journal-title":"Mot. Technol."},{"key":"ref_20","first-page":"129","article-title":"Research on multi-attribute group decision making for supplier selection problem","volume":"19","author":"Lu","year":"2023","journal-title":"Comput. Knowl. Technol."},{"key":"ref_21","first-page":"6585486","article-title":"Aviation equipment supplier evaluation based on BP-Adaboost algorithm and TOPSIS","volume":"53","author":"Gu","year":"2023","journal-title":"J. Shandong Univ."},{"key":"ref_22","first-page":"155","article-title":"Supplier selection VIKOR multi-attribute decision making of grey group clustering and improved CRITIC weighting","volume":"45","author":"Wang","year":"2023","journal-title":"Syst. Eng. Electron."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1477","DOI":"10.1007\/s10845-010-0448-6","article-title":"A fuzzy ANP model for supplier selection as applied to IC packaging","volume":"23","author":"Kang","year":"2012","journal-title":"J. Intell. Manuf."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1007\/s10845-011-0551-3","article-title":"An integrated fuzzy synthetic evaluation approach for supplier selection based on analytic network process","volume":"24","author":"Pang","year":"2013","journal-title":"J. Intell. Manuf."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"889","DOI":"10.1007\/s10845-014-0922-7","article-title":"An intelligent approach to supplier evaluation in automotive sector","volume":"27","author":"Samanlioglu","year":"2016","journal-title":"J. Intell. Manuf."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"189","DOI":"10.3233\/JIFS-151377","article-title":"Green supplier selection model with hesitant fuzzy information","volume":"32","author":"Tang","year":"2017","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_27","first-page":"67","article-title":"Priority degrees for hesitant fuzzy sets: Application to multiple attribute decision making","volume":"4","author":"Lan","year":"2017","journal-title":"Oper. Res. Perspect."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"604","DOI":"10.1016\/j.ins.2018.08.014","article-title":"Autocratic decision making using group recommendations based on hesitant fuzzy sets for green hotels selection and bidders selection","volume":"467","author":"Cheng","year":"2018","journal-title":"Inf. Sci."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1007\/s10700-007-9004-z","article-title":"Some similarity measures of intuitionistic fuzzy sets and their applications to multiple attribute decision making","volume":"6","author":"Xu","year":"2007","journal-title":"Fuzzy Optim. Decis. Mak."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"11401","DOI":"10.1016\/j.eswa.2011.03.012","article-title":"A gra-based intuitionistic fuzzy multicriteria group decision making method for personnel selection","volume":"38","author":"Zhang","year":"2011","journal-title":"Expert Syst. Appl."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1016\/j.jmsy.2018.11.002","article-title":"Sustainable supplier selection: A multi-criteria intuitionistic fuzzy TOPSIS method","volume":"50","author":"Ashkan","year":"2019","journal-title":"J. Manuf. Syst."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1016\/j.eswa.2018.09.023","article-title":"A doubly extended TOPSIS method for group decision making based on order fuzzy numbers","volume":"116","author":"Kacprzak","year":"2019","journal-title":"Expert Syst. Appl."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"823","DOI":"10.1007\/s00170-011-3220-y","article-title":"Supplier selection problem in global supply chains by AHP and ANP approaches under fuzzy environment","volume":"56","author":"Vayvay","year":"2011","journal-title":"Int. J. Adv. Manuf. Technol."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1016\/j.jocs.2014.11.002","article-title":"A hybrid group decision support system for supplier selection using analytic hierarchy process, fuzzy set theory and neural network","volume":"6","author":"Kar","year":"2015","journal-title":"J. Comput. Sci."},{"key":"ref_35","first-page":"120","article-title":"Supplier seletion and order allocation decisions under quantity discount and fast service options","volume":"18","author":"Mehmet","year":"2019","journal-title":"Sustain. Prod. Consum."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.omega.2018.05.007","article-title":"Selection of a sustainable third-party reverse logistics provider based on the robustness analysis of an outranking graph kernel conducted with ELECTRE I and SMAA","volume":"85","author":"Govindan","year":"2019","journal-title":"Omega"},{"key":"ref_37","first-page":"85","article-title":"Supplier selection based on intuitionistic fuzzy AWD method","volume":"49","author":"Wang","year":"2019","journal-title":"Math. Pract. Theory"},{"key":"ref_38","first-page":"878","article-title":"Multinational supplier selection based on fuzzy quality function deployment","volume":"47","author":"You","year":"2019","journal-title":"J. Tongji Univ."},{"key":"ref_39","first-page":"121","article-title":"An integrated fuzzy ahp-gp approach for low carbon supplier selection","volume":"29","author":"Wang","year":"2020","journal-title":"Oper. Res. Manag. Sci."},{"key":"ref_40","first-page":"71","article-title":"Three dimensional evaluation of cold chain logistics suppliers based on intuitionistic fuzzy preference decision","volume":"41","author":"Weng","year":"2020","journal-title":"J. Shanghai Marit. Univ."},{"key":"ref_41","first-page":"288","article-title":"Research on equipment supplier selection of coal enterprises based on intuitionistic fuzzy TOPSIS method","volume":"50","author":"Yao","year":"2020","journal-title":"Math. Pract. Theory"},{"key":"ref_42","first-page":"1482","article-title":"Expert weights determination method and application based on hesitancy degree and similarity measure","volume":"36","author":"Lin","year":"2021","journal-title":"Control. Decis."},{"key":"ref_43","first-page":"159","article-title":"Green supplier selection for fuzzy C-means-VIKOR model based on genetic search weight","volume":"37","author":"Xu","year":"2021","journal-title":"Stat. Decis."},{"key":"ref_44","first-page":"638","article-title":"Selection of reverse logistical suppliers based on intuitionistic fuzzy multiple attribute decision making","volume":"41","author":"Guo","year":"2021","journal-title":"J. Hebei Univ."},{"key":"ref_45","first-page":"112","article-title":"Dynamic selection and order allocation of resilient suppliers based on improved fuzzy multi-criteria decision method","volume":"37","author":"Liang","year":"2023","journal-title":"Fuzzy Syst. Math."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"1387","DOI":"10.1007\/s00521-015-2163-x","article-title":"Correlation coefficient of single-valued neutrosophic hesitant fuzzy sets and its applications in decision making","volume":"28","author":"Sahin","year":"2017","journal-title":"Neural Comput. Appl."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"1866","DOI":"10.1007\/s40815-017-0310-5","article-title":"An extended QUALIFLEX method under probability hesitant fuzzy environment for selecting green suppliers","volume":"19","author":"Li","year":"2017","journal-title":"Int. J. Fuzzy Syst."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"6427","DOI":"10.3233\/JIFS-181393","article-title":"Novel correlation coefficients for hesitant fuzzy sets and their applications to supplier selection and medical diagnosis","volume":"35","author":"Yang","year":"2018","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1515\/acsc-2017-0024","article-title":"Dual hesitant pythagorean fuzzy hamacher aggregation operators in multiple attribute decision making","volume":"27","author":"Wei","year":"2017","journal-title":"Arch. Control. Sci."},{"key":"ref_50","doi-asserted-by":"crossref","unstructured":"Qi, X.W., Zhang, J.L., and Liang, C.Y. (2018). Multiple attributes group decision-making under interval-valued dual hesitant fuzzy unbalanced linguistic environment with prioritized attributes and unknown decision-makers\u2019 weights. Information, 9.","DOI":"10.3390\/info9060145"},{"key":"ref_51","doi-asserted-by":"crossref","unstructured":"Xu, Y., Shang, X., Wang, J., Wu, W., and Huang, H. (2018). Some q-rung dual hesitant fuzzy heronian mean operators with their application to multiple attribute group decision-making. Symmetry, 10.","DOI":"10.3390\/sym10100472"},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"16","DOI":"10.3923\/jse.2012.16.20","article-title":"A novel multi-attribute allocation method based on entropy principle","volume":"6","author":"Wang","year":"2012","journal-title":"J. Softw. Eng."},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"3026","DOI":"10.1016\/j.ins.2009.05.001","article-title":"An approach to multi-attribute decision making with interval-valued intuitionistic fuzzy assessments and incomplete weights","volume":"179","author":"Wang","year":"2009","journal-title":"Inf. Sci."},{"key":"ref_54","first-page":"208","article-title":"A method of interval-valued intuitionistic fuzzy multiple attributes decision making with incomplete attribute weight information","volume":"5","author":"Wei","year":"2008","journal-title":"Chin. J. Manag."},{"key":"ref_55","first-page":"11","article-title":"Multi-criteria decision making model based on interval-valued intuitionistic fuzzy number correlation coefficient","volume":"17","author":"Yuan","year":"2014","journal-title":"J. Manag. Sci. China"},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"553","DOI":"10.1142\/S0218488514500275","article-title":"Satisfaction degree based interactive decision making under hesitant fuzzy environment with incomplete weights","volume":"22","author":"Liao","year":"2014","journal-title":"Int. J. Uncertain. Fuzziness Knowl. Based Syst."},{"key":"ref_57","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1016\/j.omega.2014.11.009","article-title":"Best-worst multi-criteria decision-making method","volume":"53","author":"Rezaei","year":"2015","journal-title":"Omega"},{"key":"ref_58","first-page":"114","article-title":"Revised TOPSIS method based on vertical projection distance-vertical projection method","volume":"24","author":"Hua","year":"2004","journal-title":"Syst. Eng. Theory Pract."},{"key":"ref_59","first-page":"741","article-title":"Projection method of fuzzy multi-attribute decision-making based on the maximal deviation model","volume":"29","author":"Zhou","year":"2007","journal-title":"Syst. Eng. Electron."},{"key":"ref_60","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1142\/S0219622010003816","article-title":"Projection models for intuitionistic fuzzy multiple attribute decision making","volume":"9","author":"Xu","year":"2010","journal-title":"Int. J. Inf. Technol. Decis. Mak."},{"key":"ref_61","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","article-title":"Fuzzy set","volume":"8","author":"Zadeh","year":"1965","journal-title":"Inf. Control."},{"key":"ref_62","first-page":"529","article-title":"Hesitant fuzzy sets","volume":"25","author":"Torra","year":"2010","journal-title":"Int. J. Intell. Syst."},{"key":"ref_63","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1016\/j.ins.2018.07.002","article-title":"Hesitant fuzzy preference envelopment analysis and alternative improvement","volume":"465","author":"Zhou","year":"2018","journal-title":"Inf. Sci."},{"key":"ref_64","doi-asserted-by":"crossref","first-page":"176","DOI":"10.1016\/j.knosys.2012.03.011","article-title":"Hesitant fuzzy prioritized operators and their application to multiple attribute decision making","volume":"31","author":"Wei","year":"2012","journal-title":"Knowl. Based Syst."},{"key":"ref_65","doi-asserted-by":"crossref","first-page":"659","DOI":"10.1016\/j.apm.2013.07.010","article-title":"Correlation coefficient of dual hesitant fuzzy sets and its application to multiple attribute decision making","volume":"38","author":"Ye","year":"2014","journal-title":"Appl. Math. Model."},{"key":"ref_66","first-page":"104","article-title":"Two-sided matching decision method with inter-valued hesitant fuzzy information based on bidirectional projection method","volume":"26","author":"Zhao","year":"2017","journal-title":"Oper. Res. Manag. Sci."},{"key":"ref_67","doi-asserted-by":"crossref","first-page":"410","DOI":"10.1002\/int.20474","article-title":"On distance and correlation measures of hesitant fuzzy information","volume":"26","author":"Xu","year":"2011","journal-title":"Int. J. Intell. Syst."},{"key":"ref_68","first-page":"2637","article-title":"Bidirectional projection method with hesitant fuzzy information","volume":"34","author":"Liu","year":"2014","journal-title":"Syst. Eng. Theory Pract."},{"key":"ref_69","first-page":"571","article-title":"Bidirectional projection method with interval-valued intuitionistic fuzzy information","volume":"31","author":"Shao","year":"2016","journal-title":"Control. Decis."},{"key":"ref_70","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1016\/j.knosys.2013.05.011","article-title":"Hesitant fuzzy multi-attribute decision making based on TOPSIS with incomplete weight information","volume":"52","author":"Xu","year":"2013","journal-title":"Knowl. Based Syst."},{"key":"ref_71","doi-asserted-by":"crossref","first-page":"2517","DOI":"10.1007\/s40815-018-0523-2","article-title":"Entropy for Hesitant Fuzzy Sets Based on Hausdorff Metric with Construction of Hesitant Fuzzy TOPSIS","volume":"20","author":"Hussain","year":"2018","journal-title":"Int. J. Fuzzy Syst."},{"key":"ref_72","first-page":"1143","article-title":"Bidirectional projection method with interval-valued intuitionistic fuzzy information based on prospect theory","volume":"31","author":"Shao","year":"2016","journal-title":"Control. Decis."},{"key":"ref_73","doi-asserted-by":"crossref","first-page":"5691905","DOI":"10.1155\/2018\/5691905","article-title":"Grey relational bidirectional projection method for multicriteria decision making with hesitant intuitionistic fuzzy linguistic information","volume":"2018","author":"Zang","year":"2018","journal-title":"Math. Probl. Eng."},{"key":"ref_74","first-page":"96","article-title":"Research on information equipment supplier selection in colleges and universities based on the weighted multi-objective gray target decision model","volume":"51","author":"Feng","year":"2021","journal-title":"Math. Pract. Theory"},{"key":"ref_75","first-page":"267","article-title":"Emergence and development of grey system theory and its forward trends","volume":"36","author":"Liu","year":"2004","journal-title":"J. Nanjing Univ. Aeronaut. Astronaut."},{"key":"ref_76","first-page":"103","article-title":"Progress of grey system models","volume":"29","author":"Liu","year":"2012","journal-title":"Trans. Nanjing Univ. Aeronaut. Astronaut."},{"key":"ref_77","doi-asserted-by":"crossref","first-page":"804","DOI":"10.1108\/GS-09-2021-0141","article-title":"Advance in grey system theory and applications in science and engineering","volume":"12","author":"Liu","year":"2022","journal-title":"Grey Syst. Theory Appl."},{"key":"ref_78","first-page":"39","article-title":"The establishment and development of grey system theory (1982\u20132021)","volume":"24","author":"Liu","year":"2022","journal-title":"J. Nanjing Univ. Aeronaut. Astronaut."},{"key":"ref_79","first-page":"9","article-title":"The grey control system","volume":"10","author":"Deng","year":"1982","journal-title":"J. Huazhong Inst. Technol."},{"key":"ref_80","first-page":"1159","article-title":"Multi-attribute intelligent grey target decision model","volume":"25","author":"Liu","year":"2010","journal-title":"Control. Decis."},{"key":"ref_81","first-page":"179","article-title":"A weighted multi-objective gray target decision model for selecting an optimum ESCO","volume":"27","author":"Zhang","year":"2019","journal-title":"Chin. J. Manag. Sci."},{"key":"ref_82","first-page":"72","article-title":"Construction and application of the multi-objective intelligent weighted grey target decision model","volume":"21","author":"Tong","year":"2016","journal-title":"Stat. Decis."},{"key":"ref_83","doi-asserted-by":"crossref","first-page":"2033","DOI":"10.1007\/s10845-020-01552-7","article-title":"Two-sided matching decision-making model with hesitant fuzzy preference information for configuring cloud manufacturing tasks and resources","volume":"31","author":"Li","year":"2020","journal-title":"J. Intell. Manuf."},{"key":"ref_84","first-page":"130","article-title":"Sustainable hydrogen production: A decision-making approach using VIKOR and intuitionistic hypersoft sets","volume":"2","author":"Muhammad","year":"2023","journal-title":"J. Intell. Manag. Decis."},{"key":"ref_85","doi-asserted-by":"crossref","first-page":"737","DOI":"10.1007\/s12559-018-9552-2","article-title":"A projection-based outranking method with multi-hesitant fuzzy linguistic term sets for hotel location selection","volume":"10","author":"Ji","year":"2018","journal-title":"Cogn. Comput."},{"key":"ref_86","first-page":"37","article-title":"How do the criteria affect sustainable supplier evaluation?\u2014A case study using multi-criteria decision analysis methods in a fuzzy environment","volume":"2","author":"Jakub","year":"2023","journal-title":"J. Eng. Manag. Syst. Eng."},{"key":"ref_87","doi-asserted-by":"crossref","first-page":"11671","DOI":"10.1016\/j.eswa.2011.03.048","article-title":"Gray relational analysis method for intuitionistic fuzzy multiple attribute decision making","volume":"38","author":"Wei","year":"2011","journal-title":"Expert Syst. Appl."},{"key":"ref_88","first-page":"2","article-title":"Fuzzy multi-criteria analyses on green supplier selection in an agri-food company","volume":"1","author":"Adis","year":"2022","journal-title":"J. Intell. Manag. Decis."},{"key":"ref_89","doi-asserted-by":"crossref","unstructured":"Su, J.F., Xu, B.J., Li, L.C., Wang, D., and Zhang, F. (2023). A green supply chain member selection method considering green innovation capability in a hesitant fuzzy environment. Axioms, 12.","DOI":"10.3390\/axioms12020188"},{"key":"ref_90","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1016\/j.ijar.2010.09.002","article-title":"Hesitant fuzzy information aggregation in decision making","volume":"52","author":"Xia","year":"2011","journal-title":"Int. J. Approx. Reason."},{"key":"ref_91","doi-asserted-by":"crossref","unstructured":"Gao, J.W., and Liu, H.H. (2016). A new prospect projection multi-criteria decision-making method for interval-valued intuitionistic fuzzy numbers. Information, 7.","DOI":"10.3390\/info7040064"}],"container-title":["Axioms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2075-1680\/12\/11\/1006\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T21:11:52Z","timestamp":1760130712000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2075-1680\/12\/11\/1006"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,10,25]]},"references-count":91,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2023,11]]}},"alternative-id":["axioms12111006"],"URL":"https:\/\/doi.org\/10.3390\/axioms12111006","relation":{},"ISSN":["2075-1680"],"issn-type":[{"type":"electronic","value":"2075-1680"}],"subject":[],"published":{"date-parts":[[2023,10,25]]}}}