{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,4]],"date-time":"2026-02-04T00:11:20Z","timestamp":1770163880286,"version":"3.49.0"},"reference-count":61,"publisher":"SAGE Publications","issue":"1","license":[{"start":{"date-parts":[[2019,11,22]],"date-time":"2019-11-22T00:00:00Z","timestamp":1574380800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2020,1,9]]},"abstract":"<jats:p>\u00a0The three dimensional extensions of ordinary fuzzy sets such as intuitionistic fuzzy sets (IFS), Pythagorean fuzzy sets (PFS), and neutrosophic sets (NS) aim at collecting experts\u2019 judgments based on membership, non-membership and hesitancy degrees. Generalized three-dimensional spherical fuzzy sets have been introduced to the literature, including their arithmetic operations, aggregation operators, and defuzzfication operations. Expansion of classical Multi-Objective Optimization by a Ratio Analysis plus the Full Multiplicative Form (MULTIMOORA) has been performed by using ordinary fuzzy, hesitant fuzzy, intuitionistic fuzzy, and neutrosophic sets in the literature. I aim at developing the spherical fuzzy MULTIMOORA method since the spherical fuzzy point of view can contribute to this multicriteria decision environment. By using spherical fuzzy sets (SFS), the MULTIMOORA method can be more efficient for solving complex problems, which require evaluation and estimation under unreliable data environment. The validation of the proposed approach is shown through an illustrative example. Additionally, comparative analyses with neutrosophic MULTIMOORA and intuitionistic fuzzy TOPSIS methods are presented.<\/jats:p>","DOI":"10.3233\/jifs-179462","type":"journal-article","created":{"date-parts":[[2019,11,24]],"date-time":"2019-11-24T12:50:11Z","timestamp":1574599811000},"page":"963-978","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":41,"title":["A spherical fuzzy extension of MULTIMOORA method"],"prefix":"10.1177","volume":"38","author":[{"given":"Fatma","family":"Kutlu G\u00fcndo\u011fdu","sequence":"first","affiliation":[{"name":"Industrial Engineering Department, Istanbul Technical University, Besiktas, Istanbul, Turkey"}]}],"member":"179","published-online":{"date-parts":[[2019,11,22]]},"reference":[{"key":"e_1_3_1_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2015.07.019"},{"key":"e_1_3_1_3_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-162186"},{"key":"e_1_3_1_4_2","article-title":"An overview of MULTIMOORA for multi-criteria decision-making: Theory, developments, applications, and challenges","author":"Hafezalkotob A.","year":"2018","unstructured":"HafezalkotobA., HafezalkotobA., LiaoH. and HerreraF., An overview of MULTIMOORA for multi-criteria decision-making: Theory, developments, applications, and challenges, Information Fusion (2018).","journal-title":"Information Fusion"},{"key":"e_1_3_1_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2012.01.100"},{"key":"e_1_3_1_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2015.11.008"},{"key":"e_1_3_1_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.rser.2012.02.067"},{"key":"e_1_3_1_8_2","doi-asserted-by":"publisher","DOI":"10.3233\/INF-2017-1131"},{"key":"e_1_3_1_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.engappai.2017.06.020"},{"key":"e_1_3_1_10_2","doi-asserted-by":"publisher","DOI":"10.1155\/2015\/560690"},{"key":"e_1_3_1_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00244-9"},{"key":"e_1_3_1_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2009.03.039"},{"key":"e_1_3_1_13_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-181401"},{"key":"e_1_3_1_14_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-181172"},{"key":"e_1_3_1_15_2","unstructured":"SmarandacheF. Neutrosophy: Neutrosophic probability set and logic: Analytic synthesis & synthetic analysis 1998."},{"key":"e_1_3_1_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2015.12.007"},{"key":"e_1_3_1_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpdc.2016.05.008"},{"key":"e_1_3_1_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.engappai.2014.04.011"},{"key":"e_1_3_1_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.wasman.2014.07.016"},{"key":"e_1_3_1_20_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.21827"},{"key":"e_1_3_1_21_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.21860"},{"key":"e_1_3_1_22_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.21898"},{"key":"e_1_3_1_23_2","article-title":"Covering based variable precision (I,T)-fuzzy rough sets with applications to multi-attribute decision-making","author":"Jiang H.","year":"2018","unstructured":"JiangH., ZhanJ. and ChenD., Covering based variable precision (I,T)-fuzzy rough sets with applications to multi-attribute decision-making, IEEE Transactions on Fuzzy Systems (2018).","journal-title":"IEEE Transactions on Fuzzy Systems"},{"key":"e_1_3_1_24_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-016-2118-x"},{"key":"e_1_3_1_25_2","doi-asserted-by":"publisher","DOI":"10.1002\/malq.19760220120"},{"key":"e_1_3_1_26_2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2006.889755"},{"key":"e_1_3_1_27_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2015.12.030"},{"key":"e_1_3_1_28_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2014.11.022"},{"key":"e_1_3_1_29_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2018.10.016"},{"key":"e_1_3_1_30_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"key":"e_1_3_1_31_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2016.07.050"},{"key":"e_1_3_1_32_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2019.01.004"},{"key":"e_1_3_1_33_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"e_1_3_1_34_2","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0255(75)90036-5"},{"key":"e_1_3_1_35_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.rser.2012.09.016"},{"key":"e_1_3_1_36_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2018.11.033"},{"key":"e_1_3_1_37_2","article-title":"Ranking of priorities among the baltic capital cities for the development of sustainable construction","author":"Lazauskas M.","year":"2015","unstructured":"LazauskasM., ZavadskasE.K. and \u0160aparauskasJ., Ranking of priorities among the baltic capital cities for the development of sustainable construction, Economics and Management (2015a).","journal-title":"Economics and Management"},{"issue":"04","key":"e_1_3_1_38_2","first-page":"319","article-title":"Multicriteria assessment of unfinished construction projects","volume":"67","author":"Lazauskas M.","year":"2015","unstructured":"LazauskasM., KututV. and ZavadskasE.K., Multicriteria assessment of unfinished construction projects, Gra\u0111evinar, 67(04) (2015b), 319\u2013328.","journal-title":"Gra\u0111evinar"},{"key":"e_1_3_1_39_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2016.07.058"},{"key":"e_1_3_1_40_2","doi-asserted-by":"publisher","DOI":"10.1007\/s40815-016-0195-8"},{"key":"e_1_3_1_41_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ssci.2017.10.018"},{"key":"e_1_3_1_42_2","unstructured":"SambucR. Function \u03a6-Flous Application a l\u2019aide au Diagnostic en Pathologie Thyroidienne University of Marseille 1975."},{"key":"e_1_3_1_43_2","doi-asserted-by":"publisher","DOI":"10.1109\/IFSA-NAFIPS.2013.6608375"},{"key":"e_1_3_1_44_2","doi-asserted-by":"publisher","DOI":"10.1080\/03081078608934952"},{"key":"e_1_3_1_45_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2016.04.035"},{"key":"e_1_3_1_46_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2016.02.049"},{"key":"e_1_3_1_47_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2016.02.007"},{"key":"e_1_3_1_48_2","doi-asserted-by":"publisher","DOI":"10.1108\/JEIM-01-2018-0023"},{"key":"e_1_3_1_49_2","doi-asserted-by":"publisher","DOI":"10.1002\/mcda.1501"},{"key":"e_1_3_1_50_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2012.07.066"},{"issue":"6","key":"e_1_3_1_51_2","first-page":"529","article-title":"Hesitant fuzzy sets","volume":"25","author":"Torra V.","year":"2010","unstructured":"TorraV., Hesitant fuzzy sets, International Journal of Intelligent Systems 25(6) (2010), 529\u2013539.","journal-title":"International Journal of Intelligent Systems"},{"key":"e_1_3_1_52_2","first-page":"1","article-title":"Selecting the optimal mining method with extended multi-objective optimization by ratio analysis plus the full multiplicative form (MULTIMOORA) approach","author":"Liang W.","year":"2018","unstructured":"LiangW., ZhaoG. and HongC., Selecting the optimal mining method with extended multi-objective optimization by ratio analysis plus the full multiplicative form (MULTIMOORA) approach, Neural Computing and Applications (2018), 1\u201316.","journal-title":"Neural Computing and Applications"},{"issue":"2","key":"e_1_3_1_53_2","article-title":"Robot evaluation and selection using the hesitant fuzzy linguistic MULTIMOORA method","volume":"47","author":"Zhou W.Y.","year":"2018","unstructured":"ZhouW.Y., YouX.Y., ZhaoH. and LiuH.C., Robot evaluation and selection using the hesitant fuzzy linguistic MULTIMOORA method, Journal of Testing and Evaluation 47(2) (2018).","journal-title":"Journal of Testing and Evaluation"},{"key":"e_1_3_1_54_2","first-page":"445","article-title":"The MOORA method and its application to privatization in a transition economy","volume":"35","author":"Brauers W.K.M.","year":"2006","unstructured":"BrauersW.K.M. and ZavadskasE.K., The MOORA method and its application to privatization in a transition economy, Control and Cybernetics 35 (2006), 445\u2013469.","journal-title":"Control and Cybernetics"},{"key":"e_1_3_1_55_2","doi-asserted-by":"publisher","DOI":"10.3846\/tede.2010.01"},{"key":"e_1_3_1_56_2","doi-asserted-by":"publisher","DOI":"10.3846\/20294913.2011.580566"},{"key":"e_1_3_1_57_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.procs.2014.05.347"},{"key":"e_1_3_1_58_2","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/7675094"},{"key":"e_1_3_1_59_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.21676"},{"key":"e_1_3_1_60_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2016.07.004"},{"key":"e_1_3_1_61_2","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/5409405"},{"key":"e_1_3_1_62_2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2006.890678"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-179462","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/JIFS-179462","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-179462","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,3]],"date-time":"2026-02-03T11:22:49Z","timestamp":1770117769000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/JIFS-179462"}},"subtitle":[],"editor":[{"given":"Cengiz","family":"Kahraman","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2019,11,22]]},"references-count":61,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2020,1,9]]}},"alternative-id":["10.3233\/JIFS-179462"],"URL":"https:\/\/doi.org\/10.3233\/jifs-179462","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,11,22]]}}}