{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,21]],"date-time":"2026-07-21T18:47:42Z","timestamp":1784659662436,"version":"3.55.0"},"reference-count":41,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2022,9,6]],"date-time":"2022-09-06T00:00:00Z","timestamp":1662422400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,9,6]],"date-time":"2022-09-06T00:00:00Z","timestamp":1662422400000},"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":["Int. J. Fuzzy Syst."],"published-print":{"date-parts":[[2023,2]]},"DOI":"10.1007\/s40815-022-01375-z","type":"journal-article","created":{"date-parts":[[2022,9,6]],"date-time":"2022-09-06T07:04:30Z","timestamp":1662447870000},"page":"198-221","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":16,"title":["NA Operator-Based Interval-Valued q-Rung Orthopair Fuzzy PSI-COPRAS Group Decision-Making Method"],"prefix":"10.1007","volume":"25","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2667-9325","authenticated-orcid":false,"given":"Xiaolu","family":"Zhang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Li","family":"Dai","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Benting","family":"Wan","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2022,9,6]]},"reference":[{"issue":"1","key":"1375_CR1","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1016\/S0165-0114(86)80034-3","volume":"20","author":"KT Atanassov","year":"1986","unstructured":"Atanassov, K.T.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20(1), 87\u201396 (1986)","journal-title":"Fuzzy Sets Syst."},{"issue":"4","key":"1375_CR2","doi-asserted-by":"publisher","first-page":"958","DOI":"10.1109\/TFUZZ.2013.2278989","volume":"22","author":"RR Yager","year":"2013","unstructured":"Yager, R.R.: Pythagorean membership grades in multicriteria decision making. IEEE Trans. Fuzzy Syst. 22(4), 958\u2013965 (2013)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"12","key":"1375_CR3","doi-asserted-by":"publisher","first-page":"1061","DOI":"10.1002\/int.21676","volume":"29","author":"XL Zhang","year":"2014","unstructured":"Zhang, X.L., Xu, Z.S.: Extension of TOPSIS to multiple criteria decision making with Pythagorean fuzzy sets. Int. J. Intell Syst. 29(12), 1061\u20131078 (2014)","journal-title":"Int. J. Intell Syst."},{"key":"1375_CR4","doi-asserted-by":"publisher","first-page":"104","DOI":"10.1016\/j.ins.2015.10.012","volume":"330","author":"XL Zhang","year":"2016","unstructured":"Zhang, X.L.: Multicriteria Pythagorean fuzzy decision analysis: a hierarchical QUALIFLEX approach with the closeness index-based ranking methods. Inf. Sci. 330, 104\u2013124 (2016)","journal-title":"Inf. Sci."},{"issue":"5","key":"1375_CR5","doi-asserted-by":"publisher","first-page":"1222","DOI":"10.1109\/TFUZZ.2016.2604005","volume":"25","author":"RR Yager","year":"2016","unstructured":"Yager, R.R.: Generalized orthopair fuzzy sets. IEEE Trans. Fuzzy Syst. 25(5), 1222\u20131230 (2016)","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"1375_CR6","doi-asserted-by":"crossref","unstructured":"Sun, C., Sun, J.F., Alrasheedi, M., et al.: A New Extended VIKOR Approach Using q-Rung orthopair fuzzy sets for sustainable enterprise risk management assessment in manufacturing small and medium-sized enterprises. Int. J. Fuzzy Syst. 1\u201323 (2021)","DOI":"10.1007\/s40815-021-01178-8"},{"issue":"5","key":"1375_CR7","doi-asserted-by":"publisher","first-page":"5225","DOI":"10.3233\/JIFS-169806","volume":"35","author":"BP Joshi","year":"2018","unstructured":"Joshi, B.P., Singh, A., Bhatt, P.K., et al.: Interval valued q-rung orthopair fuzzy sets and their properties. J. Intell. Fuzzy Syst. 35(5), 5225\u20135230 (2018)","journal-title":"J. Intell. Fuzzy Syst."},{"issue":"12","key":"1375_CR8","doi-asserted-by":"publisher","first-page":"3190","DOI":"10.1002\/int.22190","volume":"34","author":"J Gao","year":"2019","unstructured":"Gao, J., Xu, Z.: Differential calculus of interval-valued q-rung orthopair fuzzy functions and their applications. Int. J. Intell. Syst. 34(12), 3190\u20133219 (2019)","journal-title":"Int. J. Intell. Syst."},{"key":"1375_CR9","doi-asserted-by":"crossref","unstructured":"Liang, D., Fu, Y., Xu, Z., et al.: Loss function Inform Fusion and decision rule deduction of three-way decisions by construing interval-valued q-rung orthopair fuzzy integral. IEEE Trans. Fuzzy Syst. (2021)","DOI":"10.1109\/TFUZZ.2021.3119758"},{"key":"1375_CR10","doi-asserted-by":"crossref","unstructured":"Yang, Y., Chen, Z.S., Rodr\u00edguez R.M., et al.: Novel fusion strategies for continuous interval-valued q-rung orthopair fuzzy information: a case study in quality assessment of SmartWatch appearance design. Int. J. Mach. Learn Cybern. 1\u201324 (2021)","DOI":"10.1007\/s13042-020-01269-2"},{"issue":"1","key":"1375_CR11","doi-asserted-by":"publisher","first-page":"526","DOI":"10.1002\/int.22308","volume":"36","author":"H Garg","year":"2021","unstructured":"Garg, H.: A new possibility degree measure for interval-valued q-rung orthopair fuzzy sets in decision-making. Int. J. Intell. Syst. 36(1), 526\u2013557 (2021)","journal-title":"Int. J. Intell. Syst."},{"key":"1375_CR12","doi-asserted-by":"crossref","unstructured":"Yin, S., Yang, Y., Yao, N., et al.: Possibility degree-based interval-valued q-rung orthopair fuzzy graphs. Soft. Comput. 1\u201316 (2021)","DOI":"10.1007\/s00500-021-06412-x"},{"issue":"12","key":"1375_CR13","doi-asserted-by":"publisher","first-page":"7274","DOI":"10.1002\/int.22588","volume":"36","author":"Z Yang","year":"2021","unstructured":"Yang, Z., Zhang, L., Li, T.: Group decision making with incomplete interval-valued q-rung orthopair fuzzy preference relations. Int. J. Intell. Syst. 36(12), 7274\u20137308 (2021)","journal-title":"Int. J. Intell. Syst."},{"issue":"6","key":"1375_CR14","doi-asserted-by":"publisher","first-page":"593","DOI":"10.1002\/int.21796","volume":"31","author":"X Zhang","year":"2016","unstructured":"Zhang, X.: A novel approach based on similarity measure for Pythagorean fuzzy multiple criteria group decision making. Int. J. Intell. Syst. 31(6), 593\u2013611 (2016)","journal-title":"Int. J. Intell. Syst."},{"issue":"10","key":"1375_CR15","doi-asserted-by":"publisher","first-page":"2584","DOI":"10.1002\/int.22163","volume":"34","author":"Y Ju","year":"2019","unstructured":"Ju, Y., Luo, C., Ma, J., et al.: Some interval-valued q-rung orthopair weighted averaging operators and their applications to multiple-attribute decision making. Int. J. Intell. Syst. 34(10), 2584\u20132606 (2019)","journal-title":"Int. J. Intell. Syst."},{"key":"1375_CR16","doi-asserted-by":"publisher","first-page":"110385","DOI":"10.1016\/j.envres.2020.110385","volume":"193","author":"Z Yang","year":"2021","unstructured":"Yang, Z., Chang, I.: A multi-attribute decision-making-based site selection assessment algorithm for garbage disposal plant using interval q-rung orthopair fuzzy power Muirhead mean operator. Environ Res. 193, 110385 (2021)","journal-title":"Environ Res."},{"issue":"1","key":"1375_CR17","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1109\/21.87068","volume":"18","author":"RR Yager","year":"1988","unstructured":"Yager, R.R.: On ordered weighted averaging aggregation operators in multicriteria decision making. IEEE Trans. Syst. Man Cybern. 18(1), 183\u2013190 (1988)","journal-title":"IEEE Trans. Syst. Man Cybern."},{"issue":"3","key":"1375_CR18","first-page":"267","volume":"5","author":"C Bonferroni","year":"1950","unstructured":"Bonferroni, C.: Sulle medie multiple di potenze. Bollettino Matematica Italiana. 5(3), 267\u2013270 (1950)","journal-title":"Bollettino Matematica Italiana."},{"key":"1375_CR19","doi-asserted-by":"publisher","first-page":"64","DOI":"10.1016\/j.asoc.2014.10.039","volume":"27","author":"YD He","year":"2015","unstructured":"He, Y.D., Chen, H.Y., He, Z., Zhou, L.G.: Multi-attribute decision making based on neutral averaging operators for intuitionistic fuzzy information. Appl. Soft Comput. 27, 64\u201376 (2015)","journal-title":"Appl. Soft Comput."},{"key":"1375_CR20","first-page":"1007","volume":"10","author":"H Garg","year":"2019","unstructured":"Garg, H.: Neutrality operations based Pythagorean fuzzy aggregation operators and its applications to multiple attribute group decision making process. J. Amb. Intel. Hum. Comput. 10, 1007 (2019)","journal-title":"J. Amb. Intel. Hum. Comput."},{"key":"1375_CR21","doi-asserted-by":"publisher","first-page":"427","DOI":"10.1016\/j.ins.2019.11.035","volume":"517","author":"H Garg","year":"2020","unstructured":"Garg, H., Chen, S.M.: Multiattribute group decision making based on neutrality aggregation operators of q-rung orthopair fuzzy sets. Inf. Sci. 517, 427\u2013447 (2020)","journal-title":"Inf. Sci."},{"key":"1375_CR22","doi-asserted-by":"publisher","first-page":"107192","DOI":"10.1016\/j.asoc.2021.107192","volume":"104","author":"C Jin","year":"2021","unstructured":"Jin, C., Ran, Y., Zhang, G.: Interval-valued q-rung orthopair fuzzy FMEA application to improve risk evaluation process of tool changing manipulator. Appl. Soft Comput. 104, 107192 (2021)","journal-title":"Appl. Soft Comput."},{"key":"1375_CR23","doi-asserted-by":"crossref","unstructured":"Khan, S., Mathew, M., Dominic, P., et al.: Evaluation and selection strategy for green supply chain using interval-valued q-rung orthopair fuzzy combinative distance-based assessment. Environ. Dev. Sustain. 1\u201333 (2021)","DOI":"10.1007\/s10668-021-01876-1"},{"issue":"5","key":"1375_CR24","doi-asserted-by":"publisher","first-page":"454","DOI":"10.1016\/j.enbuild.2005.08.005","volume":"38","author":"A Kaklauskas","year":"2006","unstructured":"Kaklauskas, A., Zavadskas, E.K., Raslanas, S., et al.: Selection of low-e windows in retrofit of public buildings by applying multiple criteria method COPRAS: a Lithuanian case. Energ. Bulid. 38(5), 454\u2013462 (2006)","journal-title":"Energ. Bulid."},{"key":"1375_CR25","first-page":"445","volume":"35","author":"WK Brauers","year":"2006","unstructured":"Brauers, W.K., Zavadskas, E.K.: The MOORA method and its application to privatization in a transition economy. Contrl. Cybern. 35, 445\u2013469 (2006)","journal-title":"Contrl. Cybern."},{"key":"1375_CR26","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-48318-9","volume-title":"Multiple Attribute Decision Making: Methods and Applications","author":"CL Hwang","year":"1981","unstructured":"Hwang, C.L., Yoon, K.: Multiple Attribute Decision Making: Methods and Applications. Springer, Berlin (1981)"},{"issue":"4","key":"1375_CR27","doi-asserted-by":"publisher","first-page":"1785","DOI":"10.1016\/j.matdes.2009.11.020","volume":"31","author":"K Maniya","year":"2010","unstructured":"Maniya, K., Bhatt, M.G.: A selection of material using a novel type decision-making method: preference selection index method. Mater. Des. 31(4), 1785\u20131789 (2010)","journal-title":"Mater. Des."},{"issue":"6","key":"1375_CR28","doi-asserted-by":"publisher","first-page":"3016","DOI":"10.1016\/j.eswa.2014.11.057","volume":"42","author":"D Pamucar","year":"2015","unstructured":"Pamucar, D., Cirovic, G.: The selection of transport and handling resources in logistics centers using Multi-Attributive Border Approximation area Comparison (MABAC). Expert Syst. Appl. 42(6), 3016\u20133028 (2015)","journal-title":"Expert Syst. Appl."},{"key":"1375_CR29","doi-asserted-by":"publisher","first-page":"60","DOI":"10.1016\/j.asoc.2018.04.035","volume":"69","author":"Y Zheng","year":"2018","unstructured":"Zheng, Y., Xu, Z., He, Y., et al.: Severity assessment of chronic obstructive pulmonary disease based on hesitant fuzzy linguistic COPRAS method. Appl. Soft Comput. 69, 60\u201371 (2018)","journal-title":"Appl. Soft Comput."},{"issue":"4","key":"1375_CR30","doi-asserted-by":"publisher","first-page":"524","DOI":"10.3846\/13923730.2017.1281842","volume":"23","author":"A Valipour","year":"2017","unstructured":"Valipour, A., Yahaya, N.: et, al: Hybrid SWARA-COPRAS method for risk assessment in deep foundation excavation project: an Iranian case study. J. Civ. Eng. Manag. 23(4), 524\u2013532 (2017)","journal-title":"J. Civ. Eng. Manag."},{"issue":"6","key":"1375_CR31","doi-asserted-by":"publisher","first-page":"1021","DOI":"10.1002\/int.22234","volume":"35","author":"AP Darko","year":"2020","unstructured":"Darko, A.P., Liang, D.: An extended COPRAS method for multiattribute group decision making based on dual hesitant fuzzy Maclaurin symmetric mean. Int. J. Intell. Syst. 35(6), 1021\u20131068 (2020)","journal-title":"Int. J. Intell. Syst."},{"key":"1375_CR32","first-page":"019","volume":"2","author":"ZS Xu","year":"2007","unstructured":"Xu, Z.S.: Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making. Contr. Decis. 2, 019 (2007)","journal-title":"Contr. Decis."},{"key":"1375_CR33","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1016\/j.ins.2018.01.036","volume":"438","author":"CY Wang","year":"2018","unstructured":"Wang, C.Y., Chen, S.M.: A new multiple attribute decision making method based on linear programming methodology and novel score function and novel accuracy function of interval-valued intuitionistic fuzzy values. Inf. Sci. 438, 145\u2013155 (2018)","journal-title":"Inf. Sci."},{"issue":"2","key":"1375_CR34","first-page":"463","volume":"9","author":"R Gong","year":"2019","unstructured":"Gong, R., Ma, L.Y.: A new score function and accuracy function of interval-valued intuitionistic fuzzy number and its application. Syst. Engin. Theory Pract. 9(2), 463\u2013475 (2019)","journal-title":"Syst. Engin. Theory Pract."},{"key":"1375_CR35","doi-asserted-by":"publisher","first-page":"49","DOI":"10.1016\/j.inffus.2014.10.006","volume":"25","author":"XL Zhang","year":"2015","unstructured":"Zhang, X.L., Xu, Z.S., Wang, H.: Heterogeneous multiple criteria group decision making with incomplete weight information: a deviation modeling approach. Inform. Fusion. 25, 49\u201362 (2015)","journal-title":"Inform. Fusion."},{"key":"1375_CR36","doi-asserted-by":"crossref","unstructured":"Unger, T., Borghi, C., Charchar, F., et al.: 2020 International Society of Hypertension global hypertension practice guidelines. J. Hypertens. 1334\u20131357 (2020)","DOI":"10.1161\/HYPERTENSIONAHA.120.15026"},{"key":"1375_CR37","doi-asserted-by":"publisher","first-page":"1953","DOI":"10.1097\/HJH.0000000000001940","volume":"36","author":"B Williams","year":"2018","unstructured":"Williams, B., Mancia, G., Spiering, W., et al.: 2018 ESC\/ESH Guidelines for the management of arterial hypertension: the Task Force for the management of arterial hypertension of the European Society of Cardiology and the European Society of Hypertension. J. Hypertens. 36, 1953\u20132041 (2018)","journal-title":"J. Hypertens."},{"issue":"4","key":"1375_CR38","doi-asserted-by":"publisher","first-page":"417","DOI":"10.1080\/03081070600574353","volume":"35","author":"ZS Xu","year":"2006","unstructured":"Xu, Z.S., Yager, R.R.: Some geometric aggregation operators based on intuitionistic fuzzy sets. Int. J. Gen. Syst. 35(4), 417\u2013433 (2006)","journal-title":"Int. J. Gen. Syst."},{"issue":"4","key":"1375_CR39","doi-asserted-by":"publisher","first-page":"387","DOI":"10.1155\/S1025583498000253","volume":"1998","author":"T Hara","year":"1998","unstructured":"Hara, T., Uchiyama, M., Takahasi, S.E.: A refinement of various mean inequalities. J. Inequal Appl. 1998(4), 387\u2013395 (1998)","journal-title":"J. Inequal Appl."},{"issue":"1","key":"1375_CR40","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1016\/j.ins.2003.04.001","volume":"167","author":"RR Yager","year":"2004","unstructured":"Yager, R.R.: On some new classes of implication operators and their role in approximate reasoning. Inf. Sci. 167(1), 193\u2013216 (2004)","journal-title":"Inf. Sci."},{"issue":"2","key":"1375_CR41","doi-asserted-by":"publisher","first-page":"535","DOI":"10.1007\/s40815-020-00993-9","volume":"23","author":"Q Zhan","year":"2021","unstructured":"Zhan, Q., Fu, C., Xue, M.: Distance-based large-scale group decision-making method with group influence. Int. J. Fuzzy Syst. 23(2), 535\u2013554 (2021)","journal-title":"Int. J. Fuzzy Syst."}],"container-title":["International Journal of Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40815-022-01375-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s40815-022-01375-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40815-022-01375-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,7]],"date-time":"2023-06-07T18:19:31Z","timestamp":1686161971000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s40815-022-01375-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,9,6]]},"references-count":41,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2023,2]]}},"alternative-id":["1375"],"URL":"https:\/\/doi.org\/10.1007\/s40815-022-01375-z","relation":{},"ISSN":["1562-2479","2199-3211"],"issn-type":[{"value":"1562-2479","type":"print"},{"value":"2199-3211","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,9,6]]},"assertion":[{"value":"8 January 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"31 May 2022","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 July 2022","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 September 2022","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}