{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T02:40:14Z","timestamp":1777430414994,"version":"3.51.4"},"reference-count":40,"publisher":"Springer Science and Business Media LLC","issue":"S1","license":[{"start":{"date-parts":[[2025,6,11]],"date-time":"2025-06-11T00:00:00Z","timestamp":1749600000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,6,11]],"date-time":"2025-06-11T00:00:00Z","timestamp":1749600000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J. Appl. Math. Comput."],"published-print":{"date-parts":[[2025,9]]},"DOI":"10.1007\/s12190-025-02538-5","type":"journal-article","created":{"date-parts":[[2025,6,11]],"date-time":"2025-06-11T10:00:11Z","timestamp":1749636011000},"page":"1477-1501","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["The development of a fuzzy stable compromise technique (FSCT) under hesitant fuzzy sets"],"prefix":"10.1007","volume":"71","author":[{"given":"Rafi","family":"Raza","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ahmad Termimi","family":"Ab Ghani","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lazim","family":"Abdullah","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,6,11]]},"reference":[{"issue":"2","key":"2538_CR2","doi-asserted-by":"publisher","first-page":"445","DOI":"10.1016\/S0377-2217(03)00020-1","volume":"156","author":"S Opricovic","year":"2004","unstructured":"Opricovic, S., Tzeng, G-H.: Compromise solution by MCDM methods: a comparative analysis of VIKOR and TOPSIS. Eur. J. Oper. Res. 156(2), 445\u2013455 (2004)","journal-title":"Eur. J. Oper. Res."},{"issue":"1","key":"2538_CR3","doi-asserted-by":"publisher","first-page":"37","DOI":"10.3390\/su8010037","volume":"8","author":"A Mardani","year":"2016","unstructured":"Mardani, A., et al.: VIKOR technique: a systematic review of the state of the art literature on methodologies and applications. Sustainability. 8(1), 37 (2016)","journal-title":"Sustainability"},{"issue":"2","key":"2538_CR4","doi-asserted-by":"publisher","first-page":"56","DOI":"10.4018\/ijsds.2014040105","volume":"5","author":"M Yazdani","year":"2014","unstructured":"Yazdani, M., Graeml, F.R.: VIKOR and its applications: a state-of-the-art survey. Int. J. Strateg. Decis. Sci. 5(2), 56\u201383 (2014)","journal-title":"Int. J. Strateg. Decis. Sci."},{"issue":"1","key":"2538_CR5","first-page":"5","volume":"2","author":"S Opricovic","year":"1998","unstructured":"Opricovic, S.: Multicriteria optimization of civil engineering systems. Faculty Civ. Eng. 2(1), Belgrade, 5\u201321 (1998)","journal-title":"Faculty Civ. Eng."},{"key":"2538_CR1","volume-title":"Encyclopedia of Distances","author":"MM Deza","year":"2012","unstructured":"Deza, M.M., Deza, E.: Encyclopedia of Distances. Springer Science & Business Media (2012)"},{"issue":"7","key":"2538_CR6","doi-asserted-by":"publisher","first-page":"7201","DOI":"10.3934\/mbe.2022340","volume":"19","author":"M Akram","year":"2022","unstructured":"Akram, M., Muhiuddin, G., Santos-Garc\u00eda, G.: An enhanced VIKOR method for multi-criteria group decision-making with complex Fermatean fuzzy sets. Math. Biosci. Eng. 19(7), 7201\u20137231 (2022)","journal-title":"Math. Biosci. Eng."},{"issue":"4","key":"2538_CR7","doi-asserted-by":"publisher","first-page":"B\u2013141\u2013B","DOI":"10.1287\/mnsc.17.4.B141","volume":"17","author":"RE Bellman","year":"1970","unstructured":"Bellman, R.E., Zadeh, L.A.: Decision-making in a fuzzy environment. Manage. Sci. 17(4), B\u2013141\u2013B\u2013164 (1970)","journal-title":"Manage. Sci."},{"key":"2538_CR8","doi-asserted-by":"crossref","unstructured":"Zadeh, L.: Fuzzy collection. Inf. Control. 8(3), 338\u2013356 (1965)","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"2538_CR9","unstructured":"Wang, T., Chang, T.: Fuzzy VIKOR as a resolution for multicriteria group decision-making. In The 11th International Conference on Industrial Engineering and Engineering Management. (2005). Atlantis Press Paris, France."},{"key":"2538_CR10","doi-asserted-by":"publisher","first-page":"196","DOI":"10.1016\/j.ins.2014.02.118","volume":"271","author":"T-H Chang","year":"2014","unstructured":"Chang, T-H.: Fuzzy VIKOR method: a case study of the hospital service evaluation in Taiwan. Inf. Sci. 271, 196\u2013212 (2014)","journal-title":"Inf. Sci."},{"issue":"1","key":"2538_CR11","first-page":"67","volume":"12","author":"S Mishra","year":"2012","unstructured":"Mishra, S., et al.: Multi-attribute group decision-making (MAGDM) for supplier selection using fuzzy linguistic modelling integrated with VIKOR method. Int. J. Serv. Oper. Manage. 12(1), 67\u201389 (2012)","journal-title":"Int. J. Serv. Oper. Manage."},{"issue":"1","key":"2538_CR12","doi-asserted-by":"publisher","first-page":"24","DOI":"10.1016\/j.eswa.2009.04.063","volume":"37","author":"A Sanayei","year":"2010","unstructured":"Sanayei, A., Mousavi, S.F., Yazdankhah, A.: Group decision making process for supplier selection with VIKOR under fuzzy environment. Expert Syst. Appl. 37(1), 24\u201330 (2010)","journal-title":"Expert Syst. Appl."},{"issue":"10","key":"2538_CR13","doi-asserted-by":"publisher","first-page":"12160","DOI":"10.1016\/j.eswa.2011.03.027","volume":"38","author":"A Shemshadi","year":"2011","unstructured":"Shemshadi, A., et al.: A fuzzy VIKOR method for supplier selection based on entropy measure for objective weighting. Expert Syst. Appl., 2011. 38(10): p. 12160\u201312167.","journal-title":"Expert Syst. Appl."},{"key":"2538_CR100","doi-asserted-by":"crossref","unstructured":"Opricovic, S.: Fuzzy VIKOR with an application to water resources planning. Expert Syst. Appl. 38(10), 12983\u201312990 (2011)","DOI":"10.1016\/j.eswa.2011.04.097"},{"key":"2538_CR101","doi-asserted-by":"crossref","unstructured":"Ju, Y., Wang, A.: Extension of VIKOR method for multi-criteriagroup decision making problem with linguistic information. Appl. Math. Model. 37(5), 3112\u20133125 (2013)","DOI":"10.1016\/j.apm.2012.07.035"},{"key":"2538_CR102","doi-asserted-by":"crossref","unstructured":"Rostamzadeh, R., Govindan, K., Esmaeili, A., Sabaghi, M.: Application of fuzzy VIKOR for evaluation of green supply chain management practices. Ecol. Indic. 49, 188\u2013203 (2015)","DOI":"10.1016\/j.ecolind.2014.09.045"},{"key":"2538_CR14","doi-asserted-by":"crossref","unstructured":"Wang, T-C., Liang, J-L., Ho, C-Y.: Multi-criteria decision analysis by using fuzzy VIKOR. in 2006 International conference on service systems and service management. IEEE. (2006)","DOI":"10.1109\/ICSSSM.2006.320751"},{"issue":"5","key":"2538_CR15","doi-asserted-by":"publisher","first-page":"567","DOI":"10.1002\/int.20214","volume":"22","author":"G B\u00fcy\u00fck\u00f6zkan","year":"2007","unstructured":"B\u00fcy\u00fck\u00f6zkan, G., Ruan, D., Feyzio\u011flu, O.: Evaluating e-learning web site quality in a fuzzy environment. Int. J. Intell. Syst. 22(5), 567\u2013586 (2007)","journal-title":"Int. J. Intell. Syst."},{"issue":"7","key":"2538_CR16","doi-asserted-by":"publisher","first-page":"2745","DOI":"10.3390\/su12072745","volume":"12","author":"O Taylan","year":"2020","unstructured":"Taylan, O., et al.: Assessment of energy systems using extended fuzzy AHP, fuzzy VIKOR, and TOPSIS approaches to manage non-cooperative opinions. Sustainability. 12(7), 2745 (2020)","journal-title":"Sustainability"},{"key":"2538_CR17","doi-asserted-by":"publisher","first-page":"111465","DOI":"10.1016\/j.asoc.2024.111465","volume":"158","author":"G B\u00fcy\u00fck\u00f6zkan","year":"2024","unstructured":"B\u00fcy\u00fck\u00f6zkan, G., Karabulut, Y., G\u00f6\u00e7er, F.: Spherical fuzzy sets based integrated DEMATEL, ANP, VIKOR approach and its application for renewable energy selection in Turkey. Appl. Soft Comput. 158, 111465 (2024)","journal-title":"Appl. Soft Comput."},{"issue":"3","key":"2538_CR18","doi-asserted-by":"publisher","first-page":"70","DOI":"10.1007\/s41066-024-00492-4","volume":"9","author":"S Shahzadi","year":"2024","unstructured":"Shahzadi, S., Chohan, M., Zafar, F.: Ranking failure modes with pythagorean fuzzy rough VIKOR approach. Granul. Comput. 9(3), 70 (2024)","journal-title":"Granul. Comput."},{"issue":"2","key":"2538_CR19","doi-asserted-by":"publisher","first-page":"26","DOI":"10.1007\/s41066-023-00448-0","volume":"9","author":"D Kansal","year":"2024","unstructured":"Kansal, D., Kumar, S.: Multi-criteria decision-making based on intuitionistic fuzzy exponential knowledge and similarity measure and improved VIKOR method. Granul. Comput. 9(2), 26 (2024)","journal-title":"Granul. Comput."},{"key":"2538_CR20","doi-asserted-by":"crossref","unstructured":"Thakur, P., Gandotra, N., Saini, N.: Novel Pythagorean Fuzzy Entropy for Selection of Vehicles\u2019 Battery using VIKOR Approach. in 2024 11th International Conference on Computing for Sustainable Global Development (INDIACom). 2024. IEEE.","DOI":"10.23919\/INDIACom61295.2024.10498511"},{"key":"2538_CR21","doi-asserted-by":"publisher","first-page":"107451","DOI":"10.1016\/j.engappai.2023.107451","volume":"127","author":"F Gao","year":"2024","unstructured":"Gao, F., et al.: A novel Fermatean fuzzy BWM-VIKOR based multi-criteria decision-making approach for selecting health care waste treatment technology. Eng. Appl. Artif. Intell. 127, 107451, (2024)","journal-title":"Eng. Appl. Artif. Intell."},{"key":"2538_CR22","doi-asserted-by":"publisher","DOI":"10.1016\/j.heliyon.2024.e33004","volume-title":"Effective Multi-attribute Group Decision-making Approach to Study Astronomy in the Probabilistic Linguistic Q-rung Orthopair Fuzzy VIKOR Framework","author":"S Naz","year":"2024","unstructured":"Naz, S., et al.: Effective Multi-attribute Group Decision-making Approach to Study Astronomy in the Probabilistic Linguistic Q-rung Orthopair Fuzzy VIKOR Framework, Heliyon (2024)"},{"key":"2538_CR23","doi-asserted-by":"publisher","first-page":"100365","DOI":"10.1016\/j.dajour.2023.100365","volume":"9","author":"G Biswas","year":"2023","unstructured":"Biswas, G., Garai, T., Santra, U.: A possibility-based multi-criteria decision-making approach for artificial recharge structure selection using pentagonal fuzzy numbers. Decis. Anal. J. 9, 100365 (2023)","journal-title":"Decis. Anal. J."},{"issue":"23","key":"2538_CR24","doi-asserted-by":"publisher","first-page":"17991","DOI":"10.1007\/s00500-023-09008-9","volume":"27","author":"T Garai","year":"2023","unstructured":"Garai, T., Garg, H., Biswas, G.: Possibilistic index-based multi-criteria decision-making with an unknown weight of air pollution model under bipolar fuzzy environment. Soft. Comput. 27(23), 17991\u201318009 (2023)","journal-title":"Soft. Comput."},{"issue":"4","key":"2538_CR25","doi-asserted-by":"publisher","first-page":"14","DOI":"10.1007\/s43674-023-00061-3","volume":"3","author":"T Garai","year":"2023","unstructured":"Garai, T.: Ranking method of the generalized intuitionistic fuzzy numbers founded on possibility measures and its application to MADM problem. Adv. Comput. Intell. 3(4), 14 (2023)","journal-title":"Adv. Comput. Intell."},{"issue":"8","key":"2538_CR26","doi-asserted-by":"publisher","first-page":"5031","DOI":"10.1002\/int.22750","volume":"37","author":"T Garai","year":"2022","unstructured":"Garai, T., Garg, H.: Possibilistic multiattribute decision making for water resource management problem under single-valued bipolar neutrosophic environment. Int. J. Intell. Syst. 37(8), 5031\u20135058 (2022)","journal-title":"Int. J. Intell. Syst."},{"key":"2538_CR27","doi-asserted-by":"publisher","first-page":"117715","DOI":"10.1016\/j.eswa.2022.117715","volume":"205","author":"T Garai","year":"2022","unstructured":"Garai, T., Garg, H.: Multi-criteria decision making of water resource management problem (in Agriculture field, Purulia district) based on possibility measures under generalized single valued non-linear bipolar neutrosophic environment. Expert Syst. Appl. 205, 117715 (2022)","journal-title":"Expert Syst. Appl."},{"key":"2538_CR28","doi-asserted-by":"crossref","unstructured":"Garai, T., Biswas, G., Santra, U.: A novel MCDM method based on possibility mean and its application to water resource management problem under bipolar fuzzy environment. in International conference on intelligent and fuzzy systems. 2022. Springer.","DOI":"10.1007\/978-3-031-09173-5_49"},{"key":"2538_CR29","doi-asserted-by":"crossref","unstructured":"Garai, T.: A novel ranking method of the generalized intuitionistic fuzzy numbers based on possibility measures. in Intelligent and Fuzzy Techniques for Emerging Conditions and Digital Transformation: Proceedings of the INFUS 2021 Conference, held August 24-26, 2021. Volume 2. 2022. Springer.","DOI":"10.1007\/978-3-030-85577-2_3"},{"issue":"1","key":"2538_CR30","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1109\/TFUZZ.2011.2170076","volume":"20","author":"RM Rodriguez","year":"2011","unstructured":"Rodriguez, R.M., Martinez, L., Herrera, F.: Hesitant fuzzy linguistic term sets for decision making. IEEE Trans. Fuzzy Syst. 20(1), 109\u2013119 (2011)","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"2538_CR31","doi-asserted-by":"crossref","unstructured":"Torra, V., Narukawa, Y.: On hesitant fuzzy sets and decision. in 2009 IEEE international conference on fuzzy systems. IEEE. (2009)","DOI":"10.1109\/FUZZY.2009.5276884"},{"issue":"6","key":"2538_CR32","first-page":"529","volume":"25","author":"V Torra","year":"2010","unstructured":"Torra, V.: Hesitant fuzzy sets. Int. J. Intell. Syst. 25(6), 529\u2013539 (2010)","journal-title":"Int. J. Intell. Syst."},{"issue":"3","key":"2538_CR33","doi-asserted-by":"publisher","first-page":"395","DOI":"10.1016\/j.ijar.2010.09.002","volume":"52","author":"M Xia","year":"2011","unstructured":"Xia, M., Xu, Z.: Hesitant fuzzy information aggregation in decision making. Int. J. Approx. Reason. 52(3), 395\u2013407 (2011)","journal-title":"Int. J. Approx. Reason."},{"issue":"11","key":"2538_CR34","doi-asserted-by":"publisher","first-page":"2128","DOI":"10.1016\/j.ins.2011.01.028","volume":"181","author":"Z Xu","year":"2011","unstructured":"Xu, Z., Xia, M.: Distance and similarity measures for hesitant fuzzy sets. Inf. Sci. 181(11), 2128\u20132138 (2011)","journal-title":"Inf. Sci."},{"issue":"5","key":"2538_CR35","doi-asserted-by":"publisher","first-page":"410","DOI":"10.1002\/int.20474","volume":"26","author":"Z Xu","year":"2011","unstructured":"Xu, Z., Xia, M.: On distance and correlation measures of hesitant fuzzy information. Int. J. Intell. Syst. 26(5), 410\u2013425 (2011)","journal-title":"Int. J. Intell. Syst."},{"issue":"4","key":"2538_CR36","doi-asserted-by":"publisher","first-page":"373","DOI":"10.1007\/s10700-013-9162-0","volume":"12","author":"H Liao","year":"2013","unstructured":"Liao, H., Xu, Z.: A VIKOR-based method for hesitant fuzzy multi-criteria decision making. Fuzzy Optim. Decis. Making. 12(4), 373\u2013392 (2013)","journal-title":"Fuzzy Optim. Decis. Making"},{"issue":"7","key":"2538_CR40","doi-asserted-by":"publisher","first-page":"4938","DOI":"10.1016\/j.apm.2012.10.002","volume":"37","author":"N Zhang","year":"2013","unstructured":"Zhang, N., Wei, G.: Extension of VIKOR method for decision making problem based on hesitant fuzzy set. Appl. Math. Modell. 37(7), 4938\u20134947 (2013)","journal-title":"Appl. Math. Modell."}],"container-title":["Journal of Applied Mathematics and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12190-025-02538-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s12190-025-02538-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12190-025-02538-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,9,9]],"date-time":"2025-09-09T13:15:16Z","timestamp":1757423716000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s12190-025-02538-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,6,11]]},"references-count":40,"journal-issue":{"issue":"S1","published-print":{"date-parts":[[2025,9]]}},"alternative-id":["2538"],"URL":"https:\/\/doi.org\/10.1007\/s12190-025-02538-5","relation":{},"ISSN":["1598-5865","1865-2085"],"issn-type":[{"value":"1598-5865","type":"print"},{"value":"1865-2085","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,6,11]]},"assertion":[{"value":"1 November 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"5 May 2025","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 May 2025","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 June 2025","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"There is no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}