{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,2]],"date-time":"2026-07-02T08:19:49Z","timestamp":1782980389058,"version":"3.54.5"},"reference-count":45,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2022,6,20]],"date-time":"2022-06-20T00:00:00Z","timestamp":1655683200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,6,20]],"date-time":"2022-06-20T00:00:00Z","timestamp":1655683200000},"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":["Artif Intell Rev"],"published-print":{"date-parts":[[2023,2]]},"DOI":"10.1007\/s10462-022-10208-2","type":"journal-article","created":{"date-parts":[[2022,6,20]],"date-time":"2022-06-20T03:15:27Z","timestamp":1655694927000},"page":"1787-1831","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":30,"title":["Multiple attributes group decision-making based on trigonometric operators, particle swarm optimization and complex intuitionistic fuzzy values"],"prefix":"10.1007","volume":"56","author":[{"given":"Dimple","family":"Rani","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9099-8422","authenticated-orcid":false,"given":"Harish","family":"Garg","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2022,6,20]]},"reference":[{"key":"10208_CR1","doi-asserted-by":"publisher","first-page":"7059","DOI":"10.1007\/s00500-021-05658-9","volume":"25","author":"M Akram","year":"2021","unstructured":"Akram M, Peng X, Sattar A (2021) A new decision-making model using complex intuitionistic fuzzy Hamacher aggregation operators. Soft Comput 25:7059\u20137086","journal-title":"Soft Comput"},{"issue":"1","key":"10208_CR2","doi-asserted-by":"publisher","first-page":"517","DOI":"10.3233\/JIFS-202254","volume":"41","author":"R Ali","year":"2021","unstructured":"Ali R, Abdullah S, Muhammad S, Naeem M, Chinram R (2021) Complex intuitionistic fuzzy Maclaurin symmetric mean operators and its application to emergency program selection. J Intell Fuzzy Syst 41(1):517\u2013538","journal-title":"J Intell Fuzzy Syst"},{"issue":"16","key":"10208_CR3","doi-asserted-by":"publisher","first-page":"1922","DOI":"10.3390\/math9161922","volume":"9","author":"Z Ali","year":"2021","unstructured":"Ali Z, Mahmood T, Aslam M, Chinram R (2021) Another view of complex intuitionistic fuzzy soft sets based on prioritized aggregation operators and their applications to multiattribute decision making. Mathematics 9(16):1922","journal-title":"Mathematics"},{"key":"10208_CR4","doi-asserted-by":"publisher","first-page":"464","DOI":"10.1063\/1.4757515","volume":"1482","author":"AM Alkouri","year":"2012","unstructured":"Alkouri AM, Salleh AR (2012) Complex intuitionistic fuzzy sets. AIP Conf Proc 1482:464\u2013470","journal-title":"AIP Conf Proc"},{"key":"10208_CR5","doi-asserted-by":"crossref","unstructured":"Alkouri AM, Salleh AR (2013) Complex atanassovs intuitionistic fuzzy relation. Abstract Appl Anal 2013 Article ID 287382, 18 pages","DOI":"10.1155\/2013\/287382"},{"key":"10208_CR6","doi-asserted-by":"crossref","unstructured":"Alkouri AM, Salleh AR (2013) Some operations on complex atanassov\u2019s intuitionistic fuzzy sets, In: AIP conference proceedings, vol\u00a01571, AIP, pp\u00a0987\u2013993","DOI":"10.1063\/1.4858782"},{"key":"10208_CR7","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"},{"key":"10208_CR8","doi-asserted-by":"crossref","unstructured":"Azam M, Ali Khan MS, Yang S (2022) A decision-making approach for the evaluation of information security management under complex intuitionistic fuzzy set environment. J Math Vol 2022:Article ID 9704466","DOI":"10.1155\/2022\/9704466"},{"key":"10208_CR9","doi-asserted-by":"publisher","first-page":"1116","DOI":"10.1016\/j.ins.2010.11.024","volume":"181","author":"G Beliakov","year":"2011","unstructured":"Beliakov G, Bustince H, Goswami DP, Mukherjee UK, Pal NR (2011) On averaging operators for Atanassov\u2019s intuitionistic fuzzy sets. Inf Sci 181:1116\u20131124","journal-title":"Inf Sci"},{"issue":"6","key":"10208_CR10","doi-asserted-by":"publisher","first-page":"2245","DOI":"10.1007\/s00500-015-1639-z","volume":"20","author":"D Chakraborty","year":"2016","unstructured":"Chakraborty D, Guha D, Dutta B (2016) Multi-objective optimization problem under fuzzy rule constraints using particle swarm optimization. Soft Comput 20(6):2245\u20132259","journal-title":"Soft Comput"},{"key":"10208_CR11","doi-asserted-by":"publisher","first-page":"133","DOI":"10.1016\/j.ins.2016.02.049","volume":"352","author":"SM Chen","year":"2016","unstructured":"Chen SM, Chang CH (2016) Fuzzy multiattribute decision making based on transformation techniques of intuitionistic fuzzy values and intuitionistic fuzzy geometric averaging operators. Inf Sci 352:133\u2013149","journal-title":"Inf Sci"},{"key":"10208_CR12","doi-asserted-by":"publisher","first-page":"252","DOI":"10.1016\/j.ins.2018.08.021","volume":"471","author":"SM Chen","year":"2019","unstructured":"Chen SM, Han WH (2019) Multiattribute decision making based on nonlinear programming methodology, particle swarm optimization techniques and interval-valued intuitionistic fuzzy values. Inf Sci 471:252\u2013268","journal-title":"Inf Sci"},{"key":"10208_CR13","doi-asserted-by":"publisher","first-page":"206","DOI":"10.1016\/j.ins.2017.02.046","volume":"397","author":"SM Chen","year":"2017","unstructured":"Chen SM, Huang ZC (2017) Multiattribute decision making based on interval-valued intuitionistic fuzzy values and particle swarm optimization techniques. Inf Sci 397:206\u2013218","journal-title":"Inf Sci"},{"issue":"7","key":"10208_CR14","doi-asserted-by":"publisher","first-page":"2495","DOI":"10.1007\/s00521-017-3209-z","volume":"31","author":"S Das","year":"2019","unstructured":"Das S, Guha D (2019) Attribute weight computation in a decision making problem by particle swarm optimization. Neural Comput Appl 31(7):2495\u20132505","journal-title":"Neural Comput Appl"},{"key":"10208_CR15","volume-title":"Multi-objective optimization using evolutionary algorithms","author":"K Deb","year":"2001","unstructured":"Deb K (2001) Multi-objective optimization using evolutionary algorithms, vol 16. Wiley, New York"},{"key":"10208_CR16","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-05094-1","volume-title":"Introduction to evolutionary computing","author":"AE Eiben","year":"2003","unstructured":"Eiben AE, Smith JE (2003) Introduction to evolutionary computing, vol 53. Springer, New York"},{"key":"10208_CR17","doi-asserted-by":"crossref","unstructured":"Ejegwa PA, Agbetayo JM (2022) Similarity-distance decision-making technique and its applications via intuitionistic fuzzy pairs, Journal of Computational and Cognitive Engineering, https:\/\/doi.org\/10.47852\/bonviewJCCE512522514","DOI":"10.47852\/bonviewJCCE512522514"},{"key":"10208_CR18","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1016\/j.cie.2016.08.017","volume":"101","author":"H Garg","year":"2016","unstructured":"Garg H (2016) Generalized intuitionistic fuzzy interactive geometric interaction operators using Einstein t-norm and t-conorm and their application to decision making. Comput Ind Eng 101:53\u201369","journal-title":"Comput Ind Eng"},{"key":"10208_CR19","doi-asserted-by":"publisher","first-page":"164","DOI":"10.1016\/j.engappai.2017.02.008","volume":"60","author":"H Garg","year":"2017","unstructured":"Garg H (2017) Novel intuitionistic fuzzy decision making method based on an improved operation laws and its application. Eng Appl Artif Intell 60:164\u2013174","journal-title":"Eng Appl Artif Intell"},{"issue":"3","key":"10208_CR20","doi-asserted-by":"publisher","first-page":"2679","DOI":"10.1007\/s13369-018-3413-x","volume":"44","author":"H Garg","year":"2019","unstructured":"Garg H, Rani D (2019) Some generalized complex intuitionistic fuzzy aggregation operators and their application to multicriteria decision-making process. Arab J Sci Eng 44(3):2679\u20132698","journal-title":"Arab J Sci Eng"},{"issue":"5","key":"10208_CR21","doi-asserted-by":"publisher","first-page":"991","DOI":"10.1007\/s10726-019-09631-8","volume":"28","author":"H Garg","year":"2019","unstructured":"Garg H, Rani D (2019) Exponential, logarithmic and compensative generalized aggregation operators under complex intuitionistic fuzzy environment. Group Decis Negot 28(5):991\u20131050","journal-title":"Group Decis Negot"},{"key":"10208_CR22","doi-asserted-by":"publisher","first-page":"2017","DOI":"10.1007\/s13369-019-03925-4","volume":"45","author":"H Garg","year":"2020","unstructured":"Garg H, Rani D (2020) Robust averaging-geometric aggregation operators for complex intuitionistic fuzzy sets and their applications to MCDM process. Arab J Sci Eng 45:2017\u20132033","journal-title":"Arab J Sci Eng"},{"key":"10208_CR23","doi-asserted-by":"crossref","unstructured":"Garg H, Rani D (2019) Novel exponential divergence measure of complex intuitionistic fuzzy sets with an application to decision-making process, Sci Iran 1\u201327","DOI":"10.24200\/sci.2019.53194.3103"},{"issue":"1","key":"10208_CR24","doi-asserted-by":"publisher","first-page":"1","DOI":"10.17485\/ijst\/2016\/v9i30\/97528","volume":"9","author":"M Goyal","year":"2016","unstructured":"Goyal M, Yadav D, Tripathi A (2016) Intuitionistic fuzzy genetic weighted averaging operator and its application for multiple attribute decision making in E-learning. Indian J Sci Technol 9(1):1\u201315","journal-title":"Indian J Sci Technol"},{"key":"10208_CR25","doi-asserted-by":"publisher","first-page":"142","DOI":"10.1016\/j.ins.2013.08.018","volume":"259","author":"Y He","year":"2014","unstructured":"He Y, Chen H, Zhou L, Liu J, Tao Z (2014) Intuitionistic fuzzy geometric interaction averaging operators and their application to multi-criteria decision making. Inf Sci 259:142\u2013159","journal-title":"Inf Sci"},{"key":"10208_CR26","doi-asserted-by":"publisher","first-page":"505","DOI":"10.3233\/IFS-131019","volume":"27","author":"JY Huang","year":"2014","unstructured":"Huang JY (2014) Intuitionistic fuzzy hamacher aggregation operators and their application to multiple attribute decision making. J Intell Fuzzy Syst 27:505\u2013513","journal-title":"J Intell Fuzzy Syst"},{"key":"10208_CR27","unstructured":"Kennedy J, Eberhart R (1995) Particle swarm optimization, In: Proceedings of ICNN\u201995 International Conference on Neural Networks, vol. 4, IEEE, pp.\u00a01942\u20131948"},{"key":"10208_CR28","doi-asserted-by":"publisher","unstructured":"Khan R, Ullah K, Pamucar D, Bari M (2022) Performance measure using a multi\u2013attribute decision making approach based on complex T-spherical fuzzy Power aggregation operators. J Comput Cogn Eng. (2021) https:\/\/doi.org\/10.47852\/bonviewJCCE696205514","DOI":"10.47852\/bonviewJCCE696205514"},{"key":"10208_CR29","doi-asserted-by":"publisher","unstructured":"Mahmood T, Ali Z (2021) Prioritized Muirhead mean aggregation operators under the complex single\u2013valued neutrosophic settings and their application in multi-attribute decision making, Journal of Computational and Cognitive Engineering, https:\/\/doi.org\/10.47852\/bonviewJCCE2022010104","DOI":"10.47852\/bonviewJCCE2022010104"},{"issue":"5","key":"10208_CR30","doi-asserted-by":"publisher","first-page":"5709","DOI":"10.3233\/JIFS-189890","volume":"41","author":"S Rajareega","year":"2021","unstructured":"Rajareega S, Vimala J (2021) Operations on complex intuitionistic fuzzy soft lattice ordered group and CIFS-COPRAS method for equipment selection process. J Intell Fuzzy Syst 41(5):5709\u20135718","journal-title":"J Intell Fuzzy Syst"},{"issue":"4","key":"10208_CR31","doi-asserted-by":"publisher","first-page":"450","DOI":"10.1109\/TFUZZ.2003.814832","volume":"11","author":"D Ramot","year":"2003","unstructured":"Ramot D, Friedman M, Langholz G, Kandel A (2003) Complex fuzzy logic. IEEE Trans Fuzzy Syst 11(4):450\u2013461","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"2","key":"10208_CR32","doi-asserted-by":"publisher","first-page":"171","DOI":"10.1109\/91.995119","volume":"10","author":"D Ramot","year":"2002","unstructured":"Ramot D, Milo R, Friedman M, Kandel A (2002) Complex fuzzy sets. IEEE Trans Fuzzy Syst 10(2):171\u2013186","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"6","key":"10208_CR33","doi-asserted-by":"publisher","first-page":"e12325","DOI":"10.1111\/exsy.12325","volume":"35","author":"D Rani","year":"2018","unstructured":"Rani D, Garg H (2018) Complex intuitionistic fuzzy power aggregation operators and their applications in multicriteria decision-making. Expert Syst 35(6):e12325","journal-title":"Expert Syst"},{"issue":"6","key":"10208_CR34","doi-asserted-by":"publisher","first-page":"7299","DOI":"10.3233\/JIFS-211156","volume":"41","author":"M Talafha","year":"2021","unstructured":"Talafha M, Alkouri AU, Alqaraleh S, Zureigat H, Aljarrah A (2021) Complex hesitant fuzzy sets and its applications in multiple attributes decision-making problems. J Intell Fuzzy Syst 41(6):7299\u20137327","journal-title":"J Intell Fuzzy Syst"},{"issue":"5","key":"10208_CR35","doi-asserted-by":"publisher","first-page":"923","DOI":"10.1109\/TFUZZ.2012.2189405","volume":"20","author":"W Wang","year":"2012","unstructured":"Wang W, Liu X (2012) Intuitionistic fuzzy information aggregation using Einstein operations. IEEE Trans Fuzzy Syst 20(5):923\u2013938","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"10208_CR36","doi-asserted-by":"publisher","first-page":"843","DOI":"10.1002\/int.20097","volume":"20","author":"Z Xu","year":"2005","unstructured":"Xu Z (2005) An overview of methods for determining OWA weights. Int J Intell Syst 20:843\u2013865","journal-title":"Int J Intell Syst"},{"issue":"4","key":"10208_CR37","doi-asserted-by":"publisher","first-page":"417","DOI":"10.1080\/03081070600574353","volume":"35","author":"Z Xu","year":"2006","unstructured":"Xu Z, Yager RR (2006) Some geometric aggregation operators based on intuitionistic fuzzy sets. Int J Gen Syst 35(4):417\u2013433","journal-title":"Int J Gen Syst"},{"key":"10208_CR38","doi-asserted-by":"crossref","unstructured":"Yang JM, Chen YP, Horng JT, Kao CY (1997) Applying family competition to evolution strategies for constrained optimization. In: International conference on evolutionary programming, Springer, pp\u00a0201\u2013211","DOI":"10.1007\/BFb0014812"},{"key":"10208_CR39","doi-asserted-by":"publisher","first-page":"743","DOI":"10.1007\/s10489-017-0930-3","volume":"47","author":"J Ye","year":"2017","unstructured":"Ye J (2017) Intuitionistic fuzzy hybrid arithmetic and geometric aggregation operators for the decision-making of mechanical design schemes. Appl Intell 47:743\u2013751","journal-title":"Appl Intell"},{"key":"10208_CR40","doi-asserted-by":"publisher","first-page":"443","DOI":"10.1007\/s10479-019-03432-7","volume":"300","author":"W Yu","year":"2021","unstructured":"Yu W, Zhang Z, Zhong Q (2021) Consensus reaching for MAGDM with multi-granular hesitant fuzzy linguistic term sets: a minimum adjustment-based approach. Ann Oper Res 300:443\u2013466","journal-title":"Ann Oper Res"},{"key":"10208_CR41","doi-asserted-by":"publisher","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","volume":"8","author":"LA Zadeh","year":"1965","unstructured":"Zadeh LA (1965) Fuzzy sets. Inf Control 8:338\u2013353","journal-title":"Inf Control"},{"key":"10208_CR44","doi-asserted-by":"publisher","first-page":"1129","DOI":"10.3233\/JIFS-16516","volume":"32","author":"W Zhou","year":"2017","unstructured":"Zhou W, Xu Z (2017) Extreme intuitionistic fuzzy weighted aggregation operators and their applications in optimism and pessimism decision-making processes. J Intell Fuzzy Syst 32:1129\u20131138","journal-title":"J Intell Fuzzy Syst"},{"issue":"11","key":"10208_CR43","doi-asserted-by":"publisher","first-page":"2875","DOI":"10.1109\/TFUZZ.2019.2949758","volume":"28","author":"Z Zhang","year":"2020","unstructured":"Zhang Z, Yu W, Martinez L, Gao Y (2020) Managing multigranular unbalanced hesitant fuzzy linguistic information in multiattribute large-scale group decision making: A linguistic distribution-based approach. IEEE Trans Fuzzy Syst 28(11):2875\u20132889","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"8","key":"10208_CR42","doi-asserted-by":"publisher","first-page":"1914","DOI":"10.1080\/01605682.2020.1748529","volume":"72","author":"Z Zhang","year":"2021","unstructured":"Zhang Z, Kou X, Yu W, Gao Y (2021) Consistency improvement for fuzzy preference relations with self-confidence: An application in two-sided matching decision making. J Oper Res Soc 72(8):1914\u20131927","journal-title":"J Oper Res Soc"},{"key":"10208_CR45","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1016\/0165-0114(78)90031-3","volume":"1","author":"HJ Zimmermann","year":"1978","unstructured":"Zimmermann HJ (1978) Fuzzy programming and linear programming with several objective functions. Fuzzy Sets Syst 1:45\u201355","journal-title":"Fuzzy Sets Syst"}],"container-title":["Artificial Intelligence Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10462-022-10208-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10462-022-10208-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10462-022-10208-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,30]],"date-time":"2023-01-30T12:54:57Z","timestamp":1675083297000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10462-022-10208-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,6,20]]},"references-count":45,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2023,2]]}},"alternative-id":["10208"],"URL":"https:\/\/doi.org\/10.1007\/s10462-022-10208-2","relation":{},"ISSN":["0269-2821","1573-7462"],"issn-type":[{"value":"0269-2821","type":"print"},{"value":"1573-7462","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,6,20]]},"assertion":[{"value":"20 June 2022","order":1,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}