{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,17]],"date-time":"2026-04-17T06:58:29Z","timestamp":1776409109868,"version":"3.51.2"},"reference-count":53,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2022,7,28]],"date-time":"2022-07-28T00:00:00Z","timestamp":1658966400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Open Research Fund Program of Data Recovery Key Laboratory of Sichuan Province","award":["DRN19014"],"award-info":[{"award-number":["DRN19014"]}]},{"name":"Open Research Fund Program of Data Recovery Key Laboratory of Sichuan Province","award":["2018TD08"],"award-info":[{"award-number":["2018TD08"]}]},{"name":"Open Research Fund Program of Data Recovery Key Laboratory of Sichuan Province","award":["2021JY0108"],"award-info":[{"award-number":["2021JY0108"]}]},{"name":"Scientific Research Project of Neijiang Normal University","award":["DRN19014"],"award-info":[{"award-number":["DRN19014"]}]},{"name":"Scientific Research Project of Neijiang Normal University","award":["2018TD08"],"award-info":[{"award-number":["2018TD08"]}]},{"name":"Scientific Research Project of Neijiang Normal University","award":["2021JY0108"],"award-info":[{"award-number":["2021JY0108"]}]},{"name":"Application basic research project of Sichuan Province","award":["DRN19014"],"award-info":[{"award-number":["DRN19014"]}]},{"name":"Application basic research project of Sichuan Province","award":["2018TD08"],"award-info":[{"award-number":["2018TD08"]}]},{"name":"Application basic research project of Sichuan Province","award":["2021JY0108"],"award-info":[{"award-number":["2021JY0108"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Systems"],"abstract":"<jats:p>Evaluating pharmaceutical enterprises with sustainable and high-quality development ability (SHQDA) can not only provide strategies for the pharmaceutical management department in formulating enterprise development plans, but also provide suggestions and guidance for enterprises to enhance their core competitiveness. Nevertheless, the prior research possesses several deficiencies in coping with the assessment of enterprises with SHQDA under uncertain environments to predict the psychological behavior of the evaluator and the correlation among the evaluation criteria. To conquer the aforementioned defects, we propose an integrated framework for rating pharmaceutical enterprises that incorporates regret theory, measurement alternatives and ranking based on the compromise solution (MARCOS) and Heronian mean operating within a single-value neutrosophic set (SVNS) environment. First, the single-valued neutrosophic number (SVNN) is employed to portray the assessment information of experts. Then, a novel single-valued neutrosophic score function is presented to enhance the rationality of the SVNN comparison. Next, a combined criteria weight model is constructed by synthesizing the best and worst method (BWM) and criteria importance through intercriteria correlation (CRITIC) approach to attain more reasonable and credible weight information. Furthermore, the integrated assessment framework combining regret theory-MARCOS method and Heronian mean operator is put forward to assess and select the enterprises with SHQDA under a single-valued neutrosophic setting. Ultimately, an empirical concerning the pharmaceutical enterprises assessment is presented within SVNS to illustrate the usefulness and effectiveness of the presented SVNS regret theory-MARCOS method. Thereafter, the sensitivity analysis and comparison analysis are implemented to provide evidence for the rationality and superiority of the proposed method.<\/jats:p>","DOI":"10.3390\/systems10040106","type":"journal-article","created":{"date-parts":[[2022,7,29]],"date-time":"2022-07-29T01:41:16Z","timestamp":1659058876000},"page":"106","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":15,"title":["A Hybrid Group Decision Approach Based on MARCOS and Regret Theory for Pharmaceutical Enterprises Assessment under a Single-Valued Neutrosophic Scenario"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7576-5276","authenticated-orcid":false,"given":"Yuan","family":"Rong","sequence":"first","affiliation":[{"name":"School of Management, Shanghai University, Shanghai 200444, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wenyao","family":"Niu","sequence":"additional","affiliation":[{"name":"School of Management, Shanghai University, Shanghai 200444, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9099-8422","authenticated-orcid":false,"given":"Harish","family":"Garg","sequence":"additional","affiliation":[{"name":"School of Mathematics, Thapar Institute of Engineering and Technology, Deemed University, Patiala 147004, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5304-235X","authenticated-orcid":false,"given":"Yi","family":"Liu","sequence":"additional","affiliation":[{"name":"Data Recovery Key Laboratory of Sichuan Province, Neijiang Normal University, Neijiang 641100, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8570-7181","authenticated-orcid":false,"given":"Liying","family":"Yu","sequence":"additional","affiliation":[{"name":"School of Management, Shanghai University, Shanghai 200444, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,7,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"129771","DOI":"10.1016\/j.jclepro.2021.129771","article-title":"Evaluate and select state-owned enterprises with sustainable high-quality development capacity by integrating FAHP-LDA and bidirectional projection methods","volume":"329","author":"Dong","year":"2021","journal-title":"J. Clean. Prod."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","article-title":"Fuzzy sets","volume":"8","author":"Zadeh","year":"1965","journal-title":"Inf. Control"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/S0165-0114(86)80034-3","article-title":"Intuitionistic fuzzy sets","volume":"20","author":"Atanassov","year":"1986","journal-title":"Fuzzy Sets Syst."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"110844","DOI":"10.1016\/j.rser.2021.110844","article-title":"Analysis of the innovation strategies for green supply chain management in the energy industry using the QFD-based hybrid interval valued intuitionistic fuzzy decision approach","volume":"143","author":"Haiyun","year":"2021","journal-title":"Renew. Sust. Energ. Rev."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"4330","DOI":"10.1007\/s10489-021-02541-w","article-title":"An efficient intuitionistic fuzzy MULTIMOORA approach based on novel aggregation operators for the assessment of solid waste management techniques","volume":"52","author":"Garg","year":"2021","journal-title":"Appl. Intell."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"104568","DOI":"10.1016\/j.engappai.2021.104568","article-title":"Information quality for intuitionistic fuzzy values with its application in decision making","volume":"109","author":"Xie","year":"2022","journal-title":"Eng. Appl. Artif. Intell."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"121435","DOI":"10.1016\/j.techfore.2021.121435","article-title":"Intuitionistic fuzzy social network hybrid MCDM model for an assessment of digital reforms of manufacturing industry in China","volume":"176","author":"Zeng","year":"2022","journal-title":"Technol. Forecast. Soc. Chang."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"121907","DOI":"10.1016\/j.energy.2021.121907","article-title":"Risk assessment of renewable energy investments: A modified failure mode and effect analysis based on prospect theory and intuitionistic fuzzy AHP","volume":"239","author":"Ilbahar","year":"2022","journal-title":"Energy"},{"key":"ref_9","unstructured":"Smarandache, F. (1999). A unifying field in Logics: Neutrosophic Logic. Philosophy, American Research Press."},{"key":"ref_10","unstructured":"Wang, H., Smarandache, F., Zhang, Y., and Sunderraman, R. (2022, July 01). Single Valued Neutrosophic Sets. Available online: http:\/\/fs.unm.edu\/SingleValuedNeutrosophicSets.pdf."},{"key":"ref_11","unstructured":"\u015eahin, R. (2014). Multi-criteria neutrosophic decision making method based on score and accuracy functions under neutrosophic environment. arXiv."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"849","DOI":"10.1007\/s40815-016-0195-8","article-title":"The aggregation operators based on archimedean t-conorm and t-norm for single-valued neutrosophic numbers and their application to decision making","volume":"18","author":"Liu","year":"2016","journal-title":"Int. J. Fuzzy Syst."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1021","DOI":"10.1002\/int.21815","article-title":"New distance measure of single-valued neutrosophic sets and its application","volume":"31","author":"Huang","year":"2016","journal-title":"Int. J. Intell. Syst."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"377","DOI":"10.1615\/Int.J.UncertaintyQuantification.2016018441","article-title":"An improved score function for ranking neutrosophic sets and its application to decision-making process","volume":"6","author":"Garg","year":"2016","journal-title":"Int. J. Uncertain Quantif."},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"\u00d6zl\u00fc, \u015e. (2022). Generalized Dice measures of single valued neutrosophic type-2 hesitant fuzzy sets and their application to multi-criteria decision making problems. Int. J. Mach. Learn. Cybern., 1\u201330.","DOI":"10.1007\/s13042-021-01480-9"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"2089","DOI":"10.1002\/int.22767","article-title":"SVNMPR: A new single-valued neutrosophic multiplicative preference relation and their application to decision-making process","volume":"37","author":"Garg","year":"2022","journal-title":"Int. J. Intell. Syst."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"101","DOI":"10.3233\/JIFS-18040","article-title":"A novel divergence measure and its based TOPSIS method for multi criteria decision-making under single-valued neutrosophic environment","volume":"36","author":"Garg","year":"2019","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"106140","DOI":"10.1016\/j.cie.2019.106140","article-title":"Healthcare evaluation in hazardous waste recycling using novel interval-valued intuitionistic fuzzy information based on complex proportional assessment method","volume":"139","author":"Mishra","year":"2020","journal-title":"Comput. Ind. Eng."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"23027","DOI":"10.1016\/j.ijhydene.2020.06.016","article-title":"Developing a novel fuzzy neutrosophic numbers based decision making analysis for prioritizing the energy storage technologies","volume":"45","author":"Pamucar","year":"2020","journal-title":"Int. J. Hydrogen Energy"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"83025","DOI":"10.1109\/ACCESS.2021.3085772","article-title":"A Flexible Decision-Making Method for Green Supplier Selection Integrating TOPSIS and GRA Under the Single-Valued Neutrosophic Environment","volume":"9","author":"Sun","year":"2021","journal-title":"IEEE Access"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1170","DOI":"10.1016\/j.apm.2013.07.020","article-title":"Single valued neutrosophic cross-entropy for multicriteria decision making problems","volume":"38","author":"Ye","year":"2014","journal-title":"Appl. Math. Modell."},{"key":"ref_22","first-page":"1","article-title":"The Score, Accuracy, and Certainty Functions determine a Total Order on the Set of Neutrosophic Triplets (T, I, F)","volume":"38","author":"Smarandache","year":"2020","journal-title":"Neutrosophic Sets Syst."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"7522","DOI":"10.1002\/int.22597","article-title":"Optimized score function and its application in group multiattribute decision making based on fuzzy neutrosophic sets","volume":"36","author":"Nafei","year":"2021","journal-title":"Int. J. Intell. Syst."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"35496","DOI":"10.1109\/ACCESS.2020.2974767","article-title":"Generalized single-valued neutrosophic power aggregation operators based on Archimedean copula and co-copula and their application to multi-attribute decision-making","volume":"8","author":"Rong","year":"2020","journal-title":"IEEE Access"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"108038","DOI":"10.1016\/j.asoc.2021.108038","article-title":"Multi-criteria weighted aggregated sum product assessment method for sustainable biomass crop selection problem using single-valued neutrosophic sets","volume":"113","author":"Mishra","year":"2021","journal-title":"Appl. Soft Comput."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"107657","DOI":"10.1016\/j.asoc.2021.107657","article-title":"Multi-criteria food waste treatment method selection using single-valued neutrosophic-CRITIC-MULTIMOORA framework","volume":"111","author":"Rani","year":"2021","journal-title":"Appl. Soft Comput."},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Tan, R., Yang, L., Chen, S., and Zhang, W. (2021). Decision-making method based on game theory and grey theory in a single-value neutrosophic environment and its application to typhoon disaster assessment. Grey Syst. Theory Appl.","DOI":"10.1108\/GS-08-2021-0131"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"147763","DOI":"10.1016\/j.scitotenv.2021.147763","article-title":"Assessment of alternative fuel vehicles for sustainable road transportation of United States using integrated fuzzy FUCOM and neutrosophic fuzzy MARCOS methodology","volume":"788","author":"Pamucar","year":"2021","journal-title":"Sci. Total Environ."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1016\/j.renene.2021.03.141","article-title":"Assessing and overcoming the renewable energy barriers for sustainable development in Pakistan: An integrated AHP and fuzzy TOPSIS approach","volume":"173","author":"Solangi","year":"2021","journal-title":"Renew. Energy"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"270","DOI":"10.1016\/j.ins.2020.10.061","article-title":"Score function based on concentration degree for probabilistic linguistic term sets: An application to TOPSIS and VIKOR","volume":"551","author":"Lin","year":"2021","journal-title":"Inf. Sci."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"446","DOI":"10.3846\/ijspm.2021.15651","article-title":"Pension service institution selection by a personalized quantifier-based MACONT method","volume":"25","author":"Wen","year":"2021","journal-title":"Int. J. Strateg. Prop. Manag."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"106231","DOI":"10.1016\/j.cie.2019.106231","article-title":"Sustainable supplier selection in healthcare industries using a new MCDM method: Measurement of alternatives and ranking according to COmpromise solution (MARCOS)","volume":"140","author":"Chatterjee","year":"2020","journal-title":"Comput. Ind. Eng."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"2833","DOI":"10.3233\/JIFS-202765","article-title":"An integrated FMEA approach using Best-Worst and MARCOS methods based on D numbers for prioritization of failures","volume":"41","author":"Fan","year":"2021","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"114508","DOI":"10.1016\/j.eswa.2020.114508","article-title":"Multi-criteria decision analysis towards robust service quality measurement","volume":"170","author":"Pamucar","year":"2021","journal-title":"Expert Syst. Appl."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"124918","DOI":"10.1016\/j.jclepro.2020.124918","article-title":"Renewable energy accommodation potential evaluation of distribution network: A hybrid decision-making framework under interval type-2 fuzzy environment","volume":"286","author":"Gong","year":"2021","journal-title":"J. Clean. Prod."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"102712","DOI":"10.1016\/j.scs.2021.102712","article-title":"Landfill location selection for healthcare waste of urban areas using hybrid BWM-grey MARCOS model based on GIS","volume":"67","author":"Torkayesh","year":"2021","journal-title":"Sustain. Cities Soc."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"107199","DOI":"10.1016\/j.asoc.2021.107199","article-title":"MARCOS technique under intuitionistic fuzzy environment for determining the COVID-19 pandemic performance of insurance companies in terms of healthcare services","volume":"104","author":"Ecer","year":"2021","journal-title":"Appl. Soft Comput."},{"key":"ref_38","doi-asserted-by":"crossref","unstructured":"Kundu, P., G\u00f6r\u00e7\u00fcn, \u00d6.F., and K\u00fc\u00e7\u00fck\u00f6nder, H. (2021). Medical device selection in private hospitals by integrated fuzzy MCGDM methods: A case study in choosing MRI (Magnetic Resonance Imaging) system. J. Oper. Res. Soc., 1\u201321.","DOI":"10.1080\/01605682.2021.1960910"},{"key":"ref_39","doi-asserted-by":"crossref","unstructured":"Ali, J. (2021). A q-rung orthopair fuzzy MARCOS method using novel score function and its application to solid waste management. Appl. Intell., 1\u201323.","DOI":"10.1007\/s10489-021-02921-2"},{"key":"ref_40","doi-asserted-by":"crossref","unstructured":"Veskovi\u0107, S., Stevi\u0107, \u017d., Nuni\u0107, Z., Milinkovi\u0107, S., and Mladenovi\u0107, D. (2022). A novel integrated large-scale group MCDM model under fuzzy environment for selection of reach stacker in a container terminal. Appl. Intell., 1\u201325.","DOI":"10.1007\/s10489-021-02914-1"},{"key":"ref_41","doi-asserted-by":"crossref","unstructured":"Darko, A.P., and Liang, D. (2022). A heterogeneous opinion-driven decision-support model for tourists\u2019 selection with different travel needs in online reviews. J. Oper. Res. Soc., 1\u201318.","DOI":"10.1080\/01605682.2022.2035274"},{"key":"ref_42","doi-asserted-by":"crossref","unstructured":"Boral, S., Chaturvedi, S.K., Howard, I.M., McKee, K., and Naikan, V.A. (2020, January 14\u201317). An integrated approach for fuzzy failure mode and effect analysis using fuzzy AHP and fuzzy MARCOS. Proceedings of the 2020 IEEE International Conference on Industrial Engineering and Engineering Management (IEEM), Singapore.","DOI":"10.1109\/IEEM45057.2020.9309790"},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"115354","DOI":"10.1016\/j.eswa.2021.115354","article-title":"An interval valued neutrosophic decision-making structure for sustainable supplier selection","volume":"183","author":"Yazdani","year":"2021","journal-title":"Expert Syst. Appl."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"194","DOI":"10.1016\/j.psep.2021.04.006","article-title":"An integrated interval type-2 fuzzy sets and multiplicative half quadratic programming-based MCDM framework for calculating aggregated risk ranking results of failure modes in FMECA","volume":"150","author":"Boral","year":"2021","journal-title":"Process Saf. Environ. Prot."},{"key":"ref_45","first-page":"13","article-title":"Hybrid MCDM solutions for evaluation of the logistics performance index of the western balkan countries","volume":"10","author":"Mastilo","year":"2022","journal-title":"Econ. Innov. Res. J."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"805","DOI":"10.2307\/2232669","article-title":"Regret theory: An alternative theory of rational choice under uncertainty","volume":"92","author":"Loomes","year":"1982","journal-title":"Econ. J."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1007\/BF00122574","article-title":"Advances in prospect theory: Cumulative representation of uncertainty","volume":"5","author":"Tversky","year":"1992","journal-title":"J. Risk Uncertain."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1007\/BF01065370","article-title":"Regret theory with general choice sets","volume":"8","author":"Quiggin","year":"1994","journal-title":"J. Risk Uncertain."},{"key":"ref_49","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_50","doi-asserted-by":"crossref","first-page":"763","DOI":"10.1016\/0305-0548(94)00059-H","article-title":"Determining objective weights in multiple criteria problems: The critic method","volume":"22","author":"Diakoulaki","year":"1995","journal-title":"Comput. Oper. Res."},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"123561","DOI":"10.1016\/j.energy.2022.123561","article-title":"An integrated hesitant 2-tuple Pythagorean fuzzy analysis of QFD-based innovation cost and duration for renewable energy projects","volume":"248","author":"Zhang","year":"2022","journal-title":"Energy"},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"2612","DOI":"10.1002\/int.22787","article-title":"Fermatean fuzzy Heronian mean operators and MEREC-based additive ratio assessment method: An application to food waste treatment technology selection","volume":"37","author":"Rani","year":"2022","journal-title":"Int. J. Intell. Syst."},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"108570","DOI":"10.1016\/j.asoc.2022.108570","article-title":"COPRAS method based on interval-valued hesitant Fermatean fuzzy sets and its application in selecting desalination technology","volume":"119","author":"Mishra","year":"2022","journal-title":"Appl. Soft Comput."}],"container-title":["Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2079-8954\/10\/4\/106\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T23:58:08Z","timestamp":1760140688000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2079-8954\/10\/4\/106"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,7,28]]},"references-count":53,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2022,8]]}},"alternative-id":["systems10040106"],"URL":"https:\/\/doi.org\/10.3390\/systems10040106","relation":{},"ISSN":["2079-8954"],"issn-type":[{"value":"2079-8954","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,7,28]]}}}