{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,25]],"date-time":"2026-07-25T21:56:34Z","timestamp":1785016594706,"version":"3.55.0"},"reference-count":44,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2024,11,25]],"date-time":"2024-11-25T00:00:00Z","timestamp":1732492800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,11,25]],"date-time":"2024-11-25T00:00:00Z","timestamp":1732492800000},"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":["Evolving Systems"],"published-print":{"date-parts":[[2025,2]]},"DOI":"10.1007\/s12530-024-09638-w","type":"journal-article","created":{"date-parts":[[2024,11,25]],"date-time":"2024-11-25T03:17:30Z","timestamp":1732504650000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":16,"title":["Multiple attribute group decision making based on $$p,q$$-quasirung orthopair Bonferroni mean operators and their applications"],"prefix":"10.1007","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0064-0414","authenticated-orcid":false,"given":"Muhammad","family":"Rahim","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Sadique","family":"Ahmad","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"B. A.","family":"Younis","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ria H.","family":"Egami","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mohammed Mustafa","family":"Ahmed","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2024,11,25]]},"reference":[{"issue":"2","key":"9638_CR1","doi-asserted-by":"publisher","first-page":"260","DOI":"10.1109\/TSMC.1986.4308946","volume":"16","author":"K-P Adlassnig","year":"1986","unstructured":"Adlassnig K-P (1986) Fuzzy set theory in medical diagnosis. IEEE Trans Syst Man Cybern 16(2):260\u2013265","journal-title":"IEEE Trans Syst Man Cybern"},{"issue":"11","key":"9638_CR2","doi-asserted-by":"publisher","first-page":"2454","DOI":"10.3390\/sym14112454","volume":"14","author":"P Agilan","year":"2022","unstructured":"Agilan P, Julietraja K, Mlaiki N, Mukheimer A (2022) Intuitionistic fuzzy stability of an Euler\u2013Lagrange symmetry additive functional equation via direct and fixed point technique (FPT). Symmetry 14(11):2454","journal-title":"Symmetry"},{"key":"9638_CR3","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1155\/2022\/8239263","volume":"2022","author":"M Akram","year":"2022","unstructured":"Akram M, Ramzan N, Feng F (2022) Extending COPRAS method with linguistic Fermatean fuzzy sets and Hamy mean operators. J Math 2022:1\u201326","journal-title":"J Math"},{"issue":"1","key":"9638_CR4","doi-asserted-by":"publisher","first-page":"92","DOI":"10.1007\/s44196-022-00145-x","volume":"15","author":"F Amin","year":"2022","unstructured":"Amin F, Rahim M, Ali A, Ameer E (2022) Generalized cubic Pythagorean fuzzy aggregation operators and their application to multi-attribute decision-making problems. Int J Comput Intell Syst 15(1):92","journal-title":"Int J Comput Intell Syst"},{"key":"9638_CR5","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1016\/S0165-0114(86)80034-3","volume":"20","author":"KT Atanassov","year":"1986","unstructured":"Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87\u201396","journal-title":"Fuzzy Sets Syst"},{"issue":"3\u20134","key":"9638_CR6","first-page":"267","volume":"5","author":"C Bonferroni","year":"1950","unstructured":"Bonferroni C (1950) Sulle medie multiple di potenze. Bollettino Dell\u2019unione Matematica Italiana 5(3\u20134):267\u2013270","journal-title":"Bollettino Dell'unione Matematica Italiana"},{"key":"9638_CR7","doi-asserted-by":"publisher","DOI":"10.1016\/j.engappai.2022.105752","volume":"119","author":"S Chakraborty","year":"2023","unstructured":"Chakraborty S, Saha AK (2023) Novel Fermatean fuzzy Bonferroni mean aggregation operators for selecting optimal health care waste treatment technology. Eng Appl Artif Intell 119:105752","journal-title":"Eng Appl Artif Intell"},{"issue":"1","key":"9638_CR8","doi-asserted-by":"publisher","first-page":"379","DOI":"10.31181\/dmame0306102022c","volume":"6","author":"R Chaurasiya","year":"2023","unstructured":"Chaurasiya R, Jain D (2023) Hybrid MCDM method on pythagorean fuzzy set and its application. Decis Mak Appl Manag Eng 6(1):379\u2013398","journal-title":"Decis Mak Appl Manag Eng"},{"issue":"4","key":"9638_CR9","doi-asserted-by":"publisher","first-page":"546","DOI":"10.1007\/s10588-017-9242-8","volume":"23","author":"H Garg","year":"2017","unstructured":"Garg H (2017) Confidence levels based Pythagorean fuzzy aggregation operators and its application to decision-making process. Comput Math Organ Theory 23(4):546\u2013571","journal-title":"Comput Math Organ Theory"},{"issue":"1","key":"9638_CR10","doi-asserted-by":"publisher","first-page":"82","DOI":"10.1002\/int.22043","volume":"34","author":"H Garg","year":"2019","unstructured":"Garg H (2019) New logarithmic operational laws and their aggregation operators for Pythagorean fuzzy set and their applications. Int J Intell Syst 34(1):82\u2013106","journal-title":"Int J Intell Syst"},{"issue":"2","key":"9638_CR11","doi-asserted-by":"publisher","first-page":"260","DOI":"10.3390\/sym15020260","volume":"15","author":"H Garg","year":"2023","unstructured":"Garg H, Rahim M, Amin F, Jafari S, Hezam IM (2023) Confidence levels-based cubic fermatean fuzzy aggregation operators and their application to MCDM problems. Symmetry 15(2):260","journal-title":"Symmetry"},{"key":"9638_CR12","doi-asserted-by":"crossref","unstructured":"Jacquet-Lagr\u00e8ze E (1975) How we can use the notion of semi-orders to build outranking relations in multi-criteria decision making. In: Utility, probability, and human decision making: selected proceedings of an interdisciplinary research conference, Rome, 3\u20136 September, 1973, Springer. pp 87\u2013112","DOI":"10.1007\/978-94-010-1834-0_4"},{"issue":"2","key":"9638_CR13","first-page":"95","volume":"1","author":"GA Kiker","year":"2005","unstructured":"Kiker GA, Bridges TS, Varghese A, Seager TP, Linkov I (2005) Application of multicriteria decision analysis in environmental decision making. Integr Environ Assess Manag Int J 1(2):95\u2013108","journal-title":"Integr Environ Assess Manag Int J"},{"key":"9638_CR14","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.ins.2022.03.032","volume":"598","author":"K Kumar","year":"2022","unstructured":"Kumar K, Chen S-M (2022) Group decision making based on q-rung orthopair fuzzy weighted averaging aggregation operator of q-rung orthopair fuzzy numbers. Inf Sci 598:1\u201318","journal-title":"Inf Sci"},{"issue":"3","key":"9638_CR15","doi-asserted-by":"publisher","first-page":"615","DOI":"10.1002\/int.21960","volume":"33","author":"D Liang","year":"2018","unstructured":"Liang D, Zhang Y, Xu Z, Darko AP (2018a) Pythagorean fuzzy Bonferroni mean aggregation operator and its accelerative calculating algorithm with the multithreading. Int J Intell Syst 33(3):615\u2013633","journal-title":"Int J Intell Syst"},{"issue":"7","key":"9638_CR16","doi-asserted-by":"publisher","first-page":"1381","DOI":"10.1002\/int.21973","volume":"33","author":"D Liang","year":"2018","unstructured":"Liang D, Darko AP, Xu Z (2018b) Interval-valued Pythagorean fuzzy extended Bonferroni mean for dealing with heterogenous relationship among attributes. Int J Intell Syst 33(7):1381\u20131411","journal-title":"Int J Intell Syst"},{"issue":"2","key":"9638_CR17","doi-asserted-by":"publisher","first-page":"315","DOI":"10.1002\/int.21933","volume":"33","author":"P Liu","year":"2018","unstructured":"Liu P, Liu J (2018) Some q-rung orthopai fuzzy Bonferroni mean operators and their application to multi-attribute group decision making. Int J Intell Syst 33(2):315\u2013347","journal-title":"Int J Intell Syst"},{"issue":"4","key":"9638_CR18","doi-asserted-by":"publisher","first-page":"652","DOI":"10.1002\/int.22071","volume":"34","author":"P Liu","year":"2019","unstructured":"Liu P, Liu W (2019) Multiple-attribute group decision-making based on power Bonferroni operators of linguistic q-rung orthopair fuzzy numbers. Int J Intell Syst 34(4):652\u2013689","journal-title":"Int J Intell Syst"},{"issue":"5","key":"9638_CR19","doi-asserted-by":"publisher","first-page":"2517","DOI":"10.3233\/IFS-151782","volume":"30","author":"P Liu","year":"2016","unstructured":"Liu P, Tang G (2016) Some power generalized aggregation operators based on the interval neutrosophic sets and their application to decision making. J Intell Fuzzy Syst 30(5):2517\u20132528","journal-title":"J Intell Fuzzy Syst"},{"issue":"2","key":"9638_CR20","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1002\/int.21927","volume":"33","author":"P Liu","year":"2018","unstructured":"Liu P, Wang P (2018a) Some q-rung orthopair fuzzy aggregation operators and their applications to multiple-attribute decision making. Int J Intell Syst 33(2):259\u2013280","journal-title":"Int J Intell Syst"},{"issue":"5","key":"9638_CR21","doi-asserted-by":"publisher","first-page":"834","DOI":"10.1109\/TFUZZ.2018.2826452","volume":"27","author":"P Liu","year":"2018","unstructured":"Liu P, Wang P (2018b) Multiple-attribute decision-making based on Archimedean Bonferroni operators of q-rung orthopair fuzzy numbers. IEEE Trans Fuzzy Syst 27(5):834\u2013848","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"9","key":"9638_CR22","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0290093","volume":"18","author":"X Luo","year":"2023","unstructured":"Luo X, Wang Z, Yang L, Lu L, Hu S (2023) Sustainable supplier selection based on VIKOR with single-valued neutrosophic sets. PLoS ONE 18(9):e0290093","journal-title":"PLoS ONE"},{"issue":"12","key":"9638_CR23","doi-asserted-by":"publisher","first-page":"1198","DOI":"10.1002\/int.21823","volume":"31","author":"Z Ma","year":"2016","unstructured":"Ma Z, Xu Z (2016) Symmetric Pythagorean fuzzy weighted geometric\/averaging operators and their application in multicriteria decision-making problems. Int J Intell Syst 31(12):1198\u20131219","journal-title":"Int J Intell Syst"},{"issue":"2","key":"9638_CR24","doi-asserted-by":"publisher","first-page":"478","DOI":"10.1049\/cit2.12209","volume":"8","author":"T Mahmood","year":"2023","unstructured":"Mahmood T, ur Rehman U, Ali Z, Haleemzai I (2023) Analysis of TOPSIS techniques based on bipolar complex fuzzy N-soft setting and their applications in decision-making problems. CAAI Trans Intell Technol 8(2):478\u2013499","journal-title":"CAAI Trans Intell Technol"},{"issue":"2","key":"9638_CR25","doi-asserted-by":"publisher","first-page":"297","DOI":"10.1002\/int.22051","volume":"34","author":"RX Nie","year":"2019","unstructured":"Nie RX, Tian ZP, Wang JQ, Hu JH (2019) Pythagorean fuzzy multiple criteria decision analysis based on Shapley fuzzy measures and partitioned normalized weighted Bonferroni mean operator. Int J Intell Syst 34(2):297\u2013324","journal-title":"Int J Intell Syst"},{"issue":"6","key":"9638_CR26","doi-asserted-by":"publisher","DOI":"10.1016\/j.heliyon.2021.e07340","volume":"7","author":"TK Paul","year":"2021","unstructured":"Paul TK, Pal M, Jana C (2021) Multi-attribute decision making method using advanced Pythagorean fuzzy weighted geometric operator and their applications for real estate company selection. Heliyon 7(6):e07340","journal-title":"Heliyon"},{"key":"9638_CR27","doi-asserted-by":"publisher","first-page":"439","DOI":"10.1016\/j.cie.2018.04.001","volume":"119","author":"X Peng","year":"2018","unstructured":"Peng X, Garg H (2018) Algorithms for interval-valued fuzzy soft sets in emergency decision making based on WDBA and CODAS with new information measure. Comput Ind Eng 119:439\u2013452","journal-title":"Comput Ind Eng"},{"issue":"7","key":"9638_CR28","doi-asserted-by":"publisher","first-page":"3367","DOI":"10.1002\/int.22419","volume":"36","author":"Y Qin","year":"2021","unstructured":"Qin Y, Liu Y, Abdullah S, Wei G (2021) Group decision support methodology based upon the multigranular generalized orthopair 2-tuple linguistic information model. Int J Intell Syst 36(7):3367\u20133400","journal-title":"Int J Intell Syst"},{"key":"9638_CR29","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1155\/2022\/9735100","volume":"2022","author":"M Rahim","year":"2022","unstructured":"Rahim M, Amin F, Ali A, Shah K (2022) An extension of Bonferroni mean under cubic Pythagorean fuzzy environment and its applications in selection-based problems. Math Probl Eng 2022:1\u201328","journal-title":"Math Probl Eng"},{"key":"9638_CR30","doi-asserted-by":"publisher","DOI":"10.1016\/j.engappai.2022.105299","volume":"115","author":"MR Seikh","year":"2022","unstructured":"Seikh MR, Mandal U (2022) Multiple attribute group decision making based on quasirung orthopair fuzzy sets: application to electric vehicle charging station site selection problem. Eng Appl Artif Intell 115:105299","journal-title":"Eng Appl Artif Intell"},{"key":"9638_CR31","doi-asserted-by":"publisher","first-page":"663","DOI":"10.1007\/s12652-019-01377-0","volume":"11","author":"T Senapati","year":"2020","unstructured":"Senapati T, Yager RR (2020) Fermatean fuzzy sets. J Ambient Intell Humaniz Comput 11:663\u2013674","journal-title":"J Ambient Intell Humaniz Comput"},{"issue":"3","key":"9638_CR32","doi-asserted-by":"publisher","first-page":"851","DOI":"10.2307\/2274139","volume":"49","author":"G Takeuti","year":"1984","unstructured":"Takeuti G, Titani S (1984) Intuitionistic fuzzy logic and intuitionistic fuzzy set theory. J Symb Log 49(3):851\u2013866","journal-title":"J Symb Log"},{"key":"9638_CR33","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1007\/s41066-019-00185-3","volume":"6","author":"P Talukdar","year":"2021","unstructured":"Talukdar P, Dutta P (2021) Distance measures for cubic Pythagorean fuzzy sets and its applications to multicriteria decision making. Granul Comput 6:267\u2013284","journal-title":"Granul Comput"},{"key":"9638_CR34","doi-asserted-by":"publisher","first-page":"867","DOI":"10.1007\/s00500-010-0554-6","volume":"15","author":"C Tan","year":"2011","unstructured":"Tan C (2011) Generalized intuitionistic fuzzy geometric aggregation operator and its application to multi-criteria group decision making. Soft Comput 15:867\u2013876","journal-title":"Soft Comput"},{"issue":"2","key":"9638_CR35","doi-asserted-by":"publisher","first-page":"1741","DOI":"10.3233\/JIFS-179237","volume":"37","author":"R Wang","year":"2019","unstructured":"Wang R (2019) Research on the application of the financial investment risk appraisal models with some interval number Muirhead mean operators. J Intell Fuzzy Syst 37(2):1741\u20131752","journal-title":"J Intell Fuzzy Syst"},{"issue":"1","key":"9638_CR36","doi-asserted-by":"publisher","first-page":"169","DOI":"10.1002\/int.21946","volume":"33","author":"G Wei","year":"2018","unstructured":"Wei G, Lu M (2018) Pythagorean fuzzy power aggregation operators in multiple attribute decision making. Int J Intell Syst 33(1):169\u2013186","journal-title":"Int J Intell Syst"},{"issue":"6","key":"9638_CR37","doi-asserted-by":"publisher","first-page":"5693","DOI":"10.3233\/JIFS-181545","volume":"36","author":"L Wu","year":"2019","unstructured":"Wu L, Wang J, Gao H (2019a) Models for competiveness evaluation of tourist destination with some interval-valued intuitionistic fuzzy Hamy mean operators. J Intell Fuzzy Syst 36(6):5693\u20135709","journal-title":"J Intell Fuzzy Syst"},{"issue":"2","key":"9638_CR38","doi-asserted-by":"publisher","first-page":"2001","DOI":"10.3233\/JIFS-179262","volume":"37","author":"L Wu","year":"2019","unstructured":"Wu L, Gao H, Wei C (2019b) VIKOR method for financing risk assessment of rural tourism projects under interval-valued intuitionistic fuzzy environment. J Intell Fuzzy Syst 37(2):2001\u20132008","journal-title":"J Intell Fuzzy Syst"},{"issue":"6","key":"9638_CR39","doi-asserted-by":"publisher","first-page":"1179","DOI":"10.1109\/TFUZZ.2006.890678","volume":"15","author":"Z Xu","year":"2007","unstructured":"Xu Z (2007) Intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst 15(6):1179\u20131187","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"2","key":"9638_CR40","first-page":"568","volume":"41","author":"Z Xu","year":"2010","unstructured":"Xu Z, Yager RR (2010) Intuitionistic fuzzy Bonferroni means. IEEE Trans Syst Man Cybern Part B (Cybern) 41(2):568\u2013578","journal-title":"IEEE Trans Syst Man Cybern Part B (Cybern)"},{"key":"9638_CR41","doi-asserted-by":"crossref","unstructured":"Yager RR (2013) Pythagorean fuzzy subsets. In: 2013 joint IFSA world congress and NAFIPS annual meeting (IFSA\/NAFIPS), IEEE. pp 57\u201361","DOI":"10.1109\/IFSA-NAFIPS.2013.6608375"},{"issue":"5","key":"9638_CR42","doi-asserted-by":"publisher","first-page":"1222","DOI":"10.1109\/TFUZZ.2016.2604005","volume":"25","author":"RR Yager","year":"2016","unstructured":"Yager RR (2016) Generalized orthopair fuzzy sets. IEEE Trans Fuzzy Syst 25(5):1222\u20131230","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"9638_CR43","doi-asserted-by":"publisher","first-page":"50587","DOI":"10.1109\/ACCESS.2020.2979780","volume":"8","author":"W Yang","year":"2020","unstructured":"Yang W, Pang Y (2020) New q-rung orthopair fuzzy Bonferroni mean Dombi operators and their application in multiple attribute decision making. IEEE Access 8:50587\u201350610","journal-title":"IEEE Access"},{"issue":"3","key":"9638_CR44","first-page":"338","volume":"8","author":"LA Zadeh","year":"1965","unstructured":"Zadeh LA (1965) Information and control. Fuzzy Sets 8(3):338\u2013353","journal-title":"Fuzzy Sets"}],"container-title":["Evolving Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12530-024-09638-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s12530-024-09638-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12530-024-09638-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,4,3]],"date-time":"2025-04-03T08:48:51Z","timestamp":1743670131000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s12530-024-09638-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,11,25]]},"references-count":44,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2025,2]]}},"alternative-id":["9638"],"URL":"https:\/\/doi.org\/10.1007\/s12530-024-09638-w","relation":{},"ISSN":["1868-6478","1868-6486"],"issn-type":[{"value":"1868-6478","type":"print"},{"value":"1868-6486","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,11,25]]},"assertion":[{"value":"19 February 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 September 2024","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"25 November 2024","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors affirm that there are no conflicts of interest to declare.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"9"}}