{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,9]],"date-time":"2026-03-09T04:08:55Z","timestamp":1773029335150,"version":"3.50.1"},"reference-count":47,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2025,7,17]],"date-time":"2025-07-17T00:00:00Z","timestamp":1752710400000},"content-version":"vor","delay-in-days":197,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Advances in Fuzzy Systems"],"published-print":{"date-parts":[[2025,1]]},"abstract":"<jats:p>Industrial waste involves any hazardous substance, chemical, or byproduct and waste discharged during the operation of an industry. Due to its nature and probable detriment to the environment, industrial waste is a great matter of concern for governments all over the world. Selection of industry\u2010linked industrial waste management strategies (IWMSs) is the main objective of this research endeavor. Applying greater generality in the dimensions of the abovementioned applications could potentially enhance a lot of their efficiency. Einstein norms\/application of Einstein operations have not been effectively applied within the complex spherical fuzzy sets (CSFSs) framework as such; this study now advances the application of Einstein operators in CSFS which would provide an adiaphorous approach to solving issues related to decision\u2010making problems (DMPs). The actual situations in which decisions are made invariably present numerous conflicting factors, which complicate the process even further. The methodology of multiattribute group decision\u2010making (MAGDM) is an essential means of handling such situations. This paper deals with the challenge pertaining to MAGDM and utilizes the established Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS). In order to aid successful problem\u2010solving, new aggregation operators are proposed, namely, complex spherical fuzzy Einstein weighted averaging (CSFEWA) operator, complex spherical fuzzy Einstein ordered weighted averaging (CSFEOWA) operator, and complex spherical fuzzy Einstein hybrid weighted averaging (CSFEHWA) operator.<\/jats:p>","DOI":"10.1155\/adfs\/8808643","type":"journal-article","created":{"date-parts":[[2025,7,18]],"date-time":"2025-07-18T05:49:56Z","timestamp":1752817796000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Optimal Industrial Waste Management Strategy for Pakistan Steel Mill Corporation Using Complex Spherical Fuzzy Einstein Aggregation Information"],"prefix":"10.1155","volume":"2025","author":[{"given":"Ijaz Ur","family":"Rahman","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8616-8829","authenticated-orcid":false,"given":"Shahzaib","family":"Ashraf","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4243-0271","authenticated-orcid":false,"given":"Bushra","family":"Batool","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7471-8088","authenticated-orcid":false,"given":"K. C.","family":"Gokul","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2025,7,17]]},"reference":[{"key":"e_1_2_15_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclepro.2018.01.057"},{"key":"e_1_2_15_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclepro.2010.07.009"},{"key":"e_1_2_15_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclepro.2018.11.074"},{"key":"e_1_2_15_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.engappai.2022.105777"},{"key":"e_1_2_15_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclepro.2015.10.054"},{"key":"e_1_2_15_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/s0952-1976(03)00069-1"},{"key":"e_1_2_15_7_2","first-page":"109","article-title":"Application of TOPSIS and VIKOR Improved Versions in a Multi Criteria Decision Analysis to Develop an Optimized Municipal Solid Waste Management Model","volume":"166","author":"Mir M. A.","year":"2016","journal-title":"Journal of Environmental Management"},{"key":"e_1_2_15_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclepro.2017.10.184"},{"key":"e_1_2_15_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclepro.2018.01.130"},{"key":"e_1_2_15_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclepro.2015.11.030"},{"key":"e_1_2_15_11_2","doi-asserted-by":"publisher","DOI":"10.3846\/16486897.2017.1364646"},{"key":"e_1_2_15_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/s0019-9958(65)90241-x"},{"key":"e_1_2_15_13_2","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780190200015.001.0001","volume-title":"Fuzzy Logic and Mathematics: A Historical Perspective","author":"Belohlavek R.","year":"2017"},{"key":"e_1_2_15_14_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-981-13-1153-6"},{"key":"e_1_2_15_15_2","doi-asserted-by":"publisher","DOI":"10.1109\/tfuzz.2019.2929024"},{"key":"e_1_2_15_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/s0165-0114(86)80034-3"},{"key":"e_1_2_15_17_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.21584"},{"key":"e_1_2_15_18_2","article-title":"Picture Fuzzy Sets","volume":"30","author":"Cuong B. C.","year":"2014","journal-title":"\u201cJournal of Computer Science and Cybernetics"},{"key":"e_1_2_15_19_2","doi-asserted-by":"publisher","DOI":"10.3390\/sym11030357"},{"key":"e_1_2_15_20_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-018-3521-2"},{"key":"e_1_2_15_21_2","doi-asserted-by":"publisher","DOI":"10.1109\/91.995119"},{"key":"e_1_2_15_22_2","doi-asserted-by":"publisher","DOI":"10.1109\/tmag.2007.892513"},{"key":"e_1_2_15_23_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2017.01.010"},{"key":"e_1_2_15_24_2","doi-asserted-by":"publisher","DOI":"10.3390\/math7010096"},{"key":"e_1_2_15_25_2","doi-asserted-by":"crossref","unstructured":"AlkouriA. M. D. J. S.andSallehA. R. Complex Intuitionistic Fuzzy Sets 1482 AIP Conference Proceedings 2012 American Institute of Physics College Park MA USA 464\u2013470.","DOI":"10.1063\/1.4757515"},{"key":"e_1_2_15_26_2","doi-asserted-by":"publisher","DOI":"10.1007\/s40747-019-0103-6"},{"key":"e_1_2_15_27_2","doi-asserted-by":"publisher","DOI":"10.1016\/s0165-0114(98)00244-9"},{"key":"e_1_2_15_28_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2014.07.006"},{"key":"e_1_2_15_29_2","doi-asserted-by":"publisher","DOI":"10.1142\/9789814261302_0021"},{"key":"e_1_2_15_30_2","doi-asserted-by":"publisher","DOI":"10.3390\/math7080742"},{"key":"e_1_2_15_31_2","doi-asserted-by":"publisher","DOI":"10.1109\/tfuzz.2013.2278989"},{"key":"e_1_2_15_32_2","doi-asserted-by":"publisher","DOI":"10.1007\/s40096-018-0266-0"},{"key":"e_1_2_15_33_2","doi-asserted-by":"publisher","DOI":"10.1109\/91.995119"},{"key":"e_1_2_15_34_2","doi-asserted-by":"publisher","DOI":"10.3390\/sym12081311"},{"key":"e_1_2_15_35_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-48318-9"},{"key":"e_1_2_15_36_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2010.01.019"},{"key":"e_1_2_15_37_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2022.119331"},{"key":"e_1_2_15_38_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2023.110855"},{"key":"e_1_2_15_39_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.22062"},{"key":"e_1_2_15_40_2","doi-asserted-by":"publisher","DOI":"10.1155\/2022\/8315733"},{"key":"e_1_2_15_41_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-021-05945-5"},{"key":"e_1_2_15_42_2","volume-title":"Environmental Management\u2014Life Cycle Assessment\u2014Principles and Framework","author":"ISO","year":"2006"},{"key":"e_1_2_15_43_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclepro.2015.02.007"},{"key":"e_1_2_15_44_2","doi-asserted-by":"publisher","DOI":"10.1111\/exsy.12325"},{"key":"e_1_2_15_45_2","doi-asserted-by":"publisher","DOI":"10.3390\/math7010035"},{"key":"e_1_2_15_46_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.22127"},{"key":"e_1_2_15_47_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-020-05100-5"}],"container-title":["Advances in Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/adfs\/8808643","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/full-xml\/10.1155\/adfs\/8808643","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/adfs\/8808643","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,9]],"date-time":"2026-03-09T03:23:17Z","timestamp":1773026597000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/adfs\/8808643"}},"subtitle":[],"editor":[{"given":"Ferdinando","family":"Di Martino","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2025,1]]},"references-count":47,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2025,1]]}},"alternative-id":["10.1155\/adfs\/8808643"],"URL":"https:\/\/doi.org\/10.1155\/adfs\/8808643","archive":["Portico"],"relation":{},"ISSN":["1687-7101","1687-711X"],"issn-type":[{"value":"1687-7101","type":"print"},{"value":"1687-711X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,1]]},"assertion":[{"value":"2024-07-29","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-05-23","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-07-17","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"8808643"}}