{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,17]],"date-time":"2026-02-17T15:19:27Z","timestamp":1771341567850,"version":"3.50.1"},"reference-count":39,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2024,12,8]],"date-time":"2024-12-08T00:00:00Z","timestamp":1733616000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,12,8]],"date-time":"2024-12-08T00:00:00Z","timestamp":1733616000000},"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":["Comp. Appl. Math."],"published-print":{"date-parts":[[2025,3]]},"DOI":"10.1007\/s40314-024-03035-4","type":"journal-article","created":{"date-parts":[[2024,12,8]],"date-time":"2024-12-08T06:29:01Z","timestamp":1733639341000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A citizen co-designed approach to combat water scarcity using complex spherical linear Diophantine fuzzy sets"],"prefix":"10.1007","volume":"44","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1525-9536","authenticated-orcid":false,"given":"Pairote","family":"Yiarayong","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,12,8]]},"reference":[{"key":"3035_CR1","doi-asserted-by":"publisher","first-page":"226","DOI":"10.1007\/s40314-020-01251-2","volume":"39","author":"M Akram","year":"2020","unstructured":"Akram M, Bashir A, Garg H (2020) Decision-making model under complex picture fuzzy Hamacher aggregation operators. Comp Appl Math 39:226","journal-title":"Comp Appl Math"},{"key":"3035_CR2","doi-asserted-by":"publisher","first-page":"10771","DOI":"10.1007\/s00500-021-05945-5","volume":"25","author":"M Akram","year":"2021","unstructured":"Akram M, Kahraman C, Zahid K (2021) Extension of TOPSIS model to the decision-making under complex spherical fuzzy information. Soft Comput 25:10771\u201310795","journal-title":"Soft Comput"},{"key":"3035_CR3","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2021.106793","volume":"216","author":"M Akram","year":"2021","unstructured":"Akram M, Kahraman C, Zahid K (2021) Group decision-making based on complex spherical fuzzy VIKOR approach. Knowl Based Syst 216:106793","journal-title":"Knowl Based Syst"},{"key":"3035_CR4","doi-asserted-by":"publisher","first-page":"190","DOI":"10.1007\/s44196-021-00038-5","volume":"14","author":"M Akram","year":"2021","unstructured":"Akram M, Kenani ANA, Shabir M (2021) Enhancing ELECTRE I method with complex spherical fuzzy information. Int J Comput Intell Syst 14:190","journal-title":"Int J Comput Intell Syst"},{"issue":"6","key":"3035_CR5","doi-asserted-by":"publisher","first-page":"e12712","DOI":"10.1111\/exsy.12712","volume":"38","author":"M Akram","year":"2021","unstructured":"Akram M, Khan A, Alcantud JCR, Garcia GS (2021) A hybrid decision-making framework under complex spherical fuzzy prioritized weighted aggregation operators. Expert Syst 38(6):e12712","journal-title":"Expert Syst"},{"key":"3035_CR6","doi-asserted-by":"publisher","first-page":"46454","DOI":"10.1109\/ACCESS.2023.3271141","volume":"11","author":"J Ali","year":"2023","unstructured":"Ali J, Naeem M (2023) $$r, s, t$$-spherical fuzzy VIKOR method and its application in multiple criteria group decision making. IEEE Access 11:46454\u201346475","journal-title":"IEEE Access"},{"key":"3035_CR7","doi-asserted-by":"publisher","first-page":"85","DOI":"10.3390\/sym15010085","volume":"15","author":"J Ali","year":"2023","unstructured":"Ali J, Naeem M (2023) Multi-criteria decision-making method based on complex $$t$$-spherical fuzzy Aczel-Alsina aggregation operators and their application. Symmetry 15:85","journal-title":"Symmetry"},{"key":"3035_CR8","doi-asserted-by":"publisher","first-page":"1311","DOI":"10.3390\/sym12081311","volume":"12","author":"Z Ali","year":"2020","unstructured":"Ali Z, Mahmood T, Yang MS (2020) Complex $$T$$-spherical fuzzy aggregation operators with application to multi-attribute decision making. Symmetry 12:1311","journal-title":"Symmetry"},{"issue":"10","key":"3035_CR9","doi-asserted-by":"publisher","first-page":"1739","DOI":"10.3390\/math8101739","volume":"8","author":"Z Ali","year":"2020","unstructured":"Ali Z, Mahmood T, Yang MS (2020) TOPSIS method based on complex spherical fuzzy sets with Bonferroni mean operators. Mathematics 8(10):1739","journal-title":"Mathematics"},{"issue":"3","key":"3035_CR10","doi-asserted-by":"publisher","first-page":"651","DOI":"10.3390\/sym15030651","volume":"15","author":"Z Ali","year":"2023","unstructured":"Ali Z, Mahmood T, Yang MS (2023) Aczel-Alsina power aggregation operators for complex picture fuzzy (CPF) sets with application in CPF multi-attribute decision making. Symmetry 15(3):651","journal-title":"Symmetry"},{"key":"3035_CR11","first-page":"3136462","volume":"2022","author":"I Alshammari","year":"2022","unstructured":"Alshammari I, Parimala M, Ozel C, Riaz M (2022) Spherical linear Diophantine fuzzy TOPSIS algorithm for green supply chain management system. J Funct Spaces 2022:3136462","journal-title":"J Funct Spaces"},{"key":"3035_CR12","doi-asserted-by":"publisher","DOI":"10.7717\/peerj-cs.1540","volume":"9","author":"A Asghar","year":"2023","unstructured":"Asghar A, Khan KA, Albahar MA, Alammari A (2023) An optimized multi-attribute decision-making approach to construction supply chain management by using complex picture fuzzy soft set. PeerJ Comput Sci 9:e1540","journal-title":"PeerJ Comput Sci"},{"issue":"3","key":"3035_CR13","doi-asserted-by":"publisher","first-page":"6651","DOI":"10.3934\/math.2023337","volume":"8","author":"S Ashraf","year":"2023","unstructured":"Ashraf S, Razzaque H, Naeem M, Botmart T (2023) Spherical $$q$$-linear Diophantine fuzzy aggregation information: Application in decision support systems. AIMS Math 8(3):6651\u20136681","journal-title":"AIMS Math"},{"key":"3035_CR14","doi-asserted-by":"publisher","first-page":"3516707","DOI":"10.1155\/2023\/3516707","volume":"2023","author":"H Garg","year":"2023","unstructured":"Garg H, Ali Z, Gwak J, Hezam IM (2023) Generalized Heronian Mean operators based on archimedean $$T$$-norms of the complex picture fuzzy information and their application to decision-making. Math Probl Eng 2023:3516707","journal-title":"Math Probl Eng"},{"issue":"1","key":"3035_CR15","doi-asserted-by":"publisher","first-page":"337","DOI":"10.3233\/JIFS-181401","volume":"36","author":"FK Gundogdu","year":"2019","unstructured":"Gundogdu FK, Kahraman C (2019) Spherical fuzzy sets and spherical fuzzy TOPSIS method. J Intell Fuzzy Syst 36(1):337\u2013352","journal-title":"J Intell Fuzzy Syst"},{"key":"3035_CR16","doi-asserted-by":"publisher","first-page":"4591","DOI":"10.1007\/s40747-022-00959-4","volume":"9","author":"J Gwak","year":"2023","unstructured":"Gwak J, Garg H, Jan N, Akram B (2023) A new approach to investigate the effects of artificial neural networks based on bipolar complex spherical fuzzy information. Complex Intell Syst 9:4591\u20134614","journal-title":"Complex Intell Syst"},{"key":"3035_CR17","doi-asserted-by":"publisher","first-page":"103132","DOI":"10.1109\/ACCESS.2023.3313181","volume":"11","author":"A Hussain","year":"2023","unstructured":"Hussain A, Ullah K, Khan MN, Senapati T, Moselm S (2023) Complex $$T$$-spherical fuzzy Frank aggregation operators with application in the assessment of soil fertility. IEEE Access 11:103132\u2013103145","journal-title":"IEEE Access"},{"issue":"7","key":"3035_CR18","doi-asserted-by":"publisher","DOI":"10.1016\/j.heliyon.2023.e18100","volume":"9","author":"A Hussain","year":"2023","unstructured":"Hussain A, Ullah K, Senapati T, Moslem S (2023) Complex spherical fuzzy Aczel Alsina aggregation operators and their application in assessment of electric cars. Heliyon 9(7):e18100","journal-title":"Heliyon"},{"key":"3035_CR19","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2023.110088","volume":"137","author":"N Jan","year":"2023","unstructured":"Jan N, Gwak J, Pamucar D (2023) Mathematical analysis of generative adversarial networks based on complex picture fuzzy soft information. Appl Soft Comput 137:110088","journal-title":"Appl Soft Comput"},{"key":"3035_CR20","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1007\/s40815-023-01578-y","volume":"26","author":"N Jan","year":"2024","unstructured":"Jan N, Gwak J, Hussain S, Nasir A (2024) Mathematical investigation of communication and network securities under interval-valued complex spherical fuzzy information. Int J Fuzzy Syst 26:87\u2013104","journal-title":"Int J Fuzzy Syst"},{"key":"3035_CR21","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2024.120101","volume":"661","author":"N Jan","year":"2024","unstructured":"Jan N, Gwak J, Pamucar D, Kang H (2024) An integrated complex $$T$$-spherical fuzzy set and soft set model for quantum computing and energy resource planning. Inf Sci 661:120101","journal-title":"Inf Sci"},{"key":"3035_CR22","doi-asserted-by":"publisher","first-page":"1281","DOI":"10.1007\/s40747-021-00573-w","volume":"8","author":"H Kamaci","year":"2022","unstructured":"Kamaci H (2022) Complex linear Diophantine fuzzy sets and their cosine similarity measures with applications. Complex Intell Syst 8:1281\u20131305","journal-title":"Complex Intell Syst"},{"key":"3035_CR23","doi-asserted-by":"publisher","first-page":"2711","DOI":"10.1007\/s40747-021-00446-2","volume":"7","author":"F Karaaslan","year":"2021","unstructured":"Karaaslan F, Dawood MAD (2021) Complex $$T$$-spherical fuzzy Dombi aggregation operators and their applications in multiple-criteria decision-making. Complex Intell Syst 7:2711\u20132734","journal-title":"Complex Intell Syst"},{"issue":"3","key":"3035_CR24","doi-asserted-by":"publisher","first-page":"577","DOI":"10.3390\/sym15030577","volume":"15","author":"SU Khan","year":"2023","unstructured":"Khan SU, Sabri EHAA, Ismail R, Mohammed MMS, Hussain S, Mehmood A (2023) Prediction model of a generative adversarial network using the concept of complex picture fuzzy soft information. Symmetry 15(3):577","journal-title":"Symmetry"},{"key":"3035_CR25","doi-asserted-by":"publisher","first-page":"243","DOI":"10.1140\/epjp\/s13360-024-04996-5","volume":"139","author":"Z Khan","year":"2024","unstructured":"Khan Z, Hussain F, Rahim T, Jan R, Boulaaras S (2024) Distance measure and its application to decision making, medical diagnosis, and pattern recognition problems under complex picture fuzzy sets. Eur Phys J Plus 139:243","journal-title":"Eur Phys J Plus"},{"issue":"1","key":"3035_CR26","doi-asserted-by":"publisher","first-page":"295","DOI":"10.2991\/ijcis.d.201207.003","volume":"14","author":"P Liu","year":"2021","unstructured":"Liu P, Ali Z, Mahmood T (2021) Novel complex $$T$$-spherical fuzzy $$2$$-tuple linguistic muirhead Mean aggregation operators and their application to multi-attribute decision-making. Int J Comput Intell Syst 14(1):295","journal-title":"Int J Comput Intell Syst"},{"issue":"11","key":"3035_CR27","doi-asserted-by":"publisher","first-page":"7041","DOI":"10.1007\/s00521-018-3521-2","volume":"31","author":"T Mahmood","year":"2019","unstructured":"Mahmood T, Ullah K, Khan Q, Jan N (2019) An approach toward decision-making and medical diagnosis problems using the concept of spherical fuzzy sets. Neural Comput Appl 31(11):7041\u20137053","journal-title":"Neural Comput Appl"},{"key":"3035_CR28","doi-asserted-by":"publisher","first-page":"13657","DOI":"10.1007\/s00500-021-06108-2","volume":"25","author":"T Mahmood","year":"2021","unstructured":"Mahmood T, Rehman UU, Ahmmad J (2021) Complex picture fuzzy $$N$$-soft sets and their decision-making algorithm. Soft Comput 25:13657\u201313678","journal-title":"Soft Comput"},{"key":"3035_CR29","doi-asserted-by":"publisher","first-page":"16449","DOI":"10.1038\/s41598-022-20239-y","volume":"12","author":"T Mahmood","year":"2022","unstructured":"Mahmood T, Ali Z, Aslam M (2022) Applications of complex picture fuzzy soft power aggregation operators in multi-attribute decision making. Sci Rep 12:16449","journal-title":"Sci Rep"},{"key":"3035_CR30","doi-asserted-by":"publisher","first-page":"11125","DOI":"10.1007\/s00500-023-08176-y","volume":"27","author":"T Mahmood","year":"2023","unstructured":"Mahmood T, Jaleel A, Rehman UU (2023) Pattern recognition and medical diagnosis based on trigonometric similarity measures for bipolar complex fuzzy soft sets. Soft Comput 27:11125\u201311154","journal-title":"Soft Comput"},{"key":"3035_CR31","first-page":"8315733","volume":"2022","author":"M Naeem","year":"2022","unstructured":"Naeem M, Qiyas M, Botmart T, Abdullah S, Khan N (2022) Complex spherical fuzzy decision support system based on entropy measure and power operator. J Funct Spaces 2022:8315733","journal-title":"J Funct Spaces"},{"key":"3035_CR32","doi-asserted-by":"publisher","first-page":"5839410","DOI":"10.1155\/2023\/5839410","volume":"2023","author":"M Qiyas","year":"2023","unstructured":"Qiyas M, Khan N, Naeem M, Okyere S (2023) Decision-making based on spherical linear Diophantine fuzzy rough Aggregation operators and EDAS Method. J Math 2023:5839410","journal-title":"J Math"},{"issue":"5","key":"3035_CR33","doi-asserted-by":"publisher","first-page":"12257","DOI":"10.3934\/math.2023618","volume":"8","author":"AA Quran","year":"2023","unstructured":"Quran AA (2023) $$T$$-spherical linear Diophantine fuzzy aggregation operators for multiple attribute decision-making. AIMS Math 8(5):12257\u201312286","journal-title":"AIMS Math"},{"issue":"3","key":"3035_CR34","first-page":"1125","volume":"126","author":"M Riaz","year":"2021","unstructured":"Riaz M, Hashmi MR, Pamucar D, Chu YM (2021) Spherical linear Diophantine fuzzy sets with modeling uncertainties in MCDM. Comput Model Eng Sci 126(3):1125\u20131164","journal-title":"Comput Model Eng Sci"},{"key":"3035_CR35","doi-asserted-by":"publisher","first-page":"8100","DOI":"10.1038\/s41598-024-53783-w","volume":"14","author":"W Shao","year":"2024","unstructured":"Shao W, Hussain S, Khan SU, Awwad FA, Ismail EAA (2024) A novel approach towards web browser using the concept of a complex spherical fuzzy soft information. Sci Rep 14:8100","journal-title":"Sci Rep"},{"key":"3035_CR36","doi-asserted-by":"publisher","first-page":"114284","DOI":"10.1109\/ACCESS.2022.3216615","volume":"10","author":"M Shoaib","year":"2022","unstructured":"Shoaib M, Mahmood W, Xin Q, Tchier F, Tawfiq FMO (2022) Certain operations on complex picture fuzzy graphs. IEEE Access 10:114284\u2013114296","journal-title":"IEEE Access"},{"key":"3035_CR37","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2023.111068","volume":"150","author":"W Wang","year":"2024","unstructured":"Wang W, Cao Y, Deveci M, Wu Q (2024) An extensible complex spherical fuzzy decision making model based selection framework for the food waste treatment method. Appl Soft Comput 150:111068","journal-title":"Appl Soft Comput"},{"key":"3035_CR38","doi-asserted-by":"publisher","first-page":"2333","DOI":"10.1007\/s40815-022-01262-7","volume":"24","author":"L Zedam","year":"2022","unstructured":"Zedam L, Pehlivan NY, Ali Z, Mahmood T (2022) Novel Hamacher aggregation operators based on complex $$T$$-spherical fuzzy numbers for cleaner production evaluation in gold mines. Int J Fuzzy Syst 24:2333\u20132353","journal-title":"Int J Fuzzy Syst"},{"issue":"12","key":"3035_CR39","doi-asserted-by":"publisher","first-page":"29817","DOI":"10.3934\/math.20231525","volume":"8","author":"S Zhu","year":"2023","unstructured":"Zhu S, Liu Z (2023) Distance measures of picture fuzzy sets and interval-valued picture fuzzy sets with their applications. AIMS Math 8(12):29817\u201329848","journal-title":"AIMS Math"}],"container-title":["Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-024-03035-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s40314-024-03035-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-024-03035-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,8]],"date-time":"2025-03-08T07:58:11Z","timestamp":1741420691000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s40314-024-03035-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,12,8]]},"references-count":39,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2025,3]]}},"alternative-id":["3035"],"URL":"https:\/\/doi.org\/10.1007\/s40314-024-03035-4","relation":{},"ISSN":["2238-3603","1807-0302"],"issn-type":[{"value":"2238-3603","type":"print"},{"value":"1807-0302","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,12,8]]},"assertion":[{"value":"11 May 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 September 2024","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"25 November 2024","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 December 2024","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 author declares that there is no Conflict of interest regarding the publication of this paper.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"I hereby agreed that my submitted manuscript \u201cA citizen co-designed approach to combat water scarcity using complex spherical linear Diophantine fuzzy sets\" be published by your firm.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Consent for publication"}}],"article-number":"69"}}