{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:29:53Z","timestamp":1777703393428,"version":"3.51.4"},"reference-count":18,"publisher":"SAGE Publications","issue":"1","license":[{"start":{"date-parts":[[2019,7,1]],"date-time":"2019-07-01T00:00:00Z","timestamp":1561939200000},"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":[[2019,7,9]]},"abstract":"<jats:p>\u00a0A cubic hesitant fuzzy set is a hybrid set which can express uncertain and hesitancy fuzzy information simultaneously. For multiple attribute decision-making problems in engineering practice, the complicated decision information is generally incomplete and indeterminate. Cubic hesitant fuzzy set can be a valuable tool for describing uncertain and hesitancy fuzzy information in uncertain decision environment. Nevertheless, no similarity measure has been used to solve decision-making problems under cubic hesitant environment in previous studies. This paper presents a Jaccard similarity measure between cubic hesitant fuzzy sets and investigates their properties. Then a multiple attribute decision-making method is developed based on the weighted Jaccard similarity measure under cubic hesitant environment. Using this method, the similarity measure values between the ideal alternative and each evaluated alternative are determined to obtain the ranking order of similarity measure values and the best alternative. An illustrative example of the selection problem of project alternatives is utilized to illustrate the application of the developed decision-making method. Finally, the validity of the proposed decision-making method was demonstrated based on the comparison of the decision-making results of the illustrative example with two distance-based similarity measures.<\/jats:p>","DOI":"10.3233\/jifs-182555","type":"journal-article","created":{"date-parts":[[2019,7,2]],"date-time":"2019-07-02T10:43:47Z","timestamp":1562064227000},"page":"1075-1083","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":16,"title":["Multiple attribute decision method using similarity measure of cubic hesitant fuzzy sets"],"prefix":"10.1177","volume":"37","author":[{"given":"Rui","family":"Yong","sequence":"first","affiliation":[{"name":"Key Laboratory of Rock Mechanics and Geohazards of Zhejiang Province, Shaoxing University, Shaoxing, People\u2019s Republic of China"},{"name":"Civil Engineering Faculty, Shaoxing University, Shaoxing, People\u2019s Republic of China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Aqin","family":"Zhu","sequence":"additional","affiliation":[{"name":"Key Laboratory of Rock Mechanics and Geohazards of Zhejiang Province, Shaoxing University, Shaoxing, People\u2019s Republic of China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jun","family":"Ye","sequence":"additional","affiliation":[{"name":"Key Laboratory of Rock Mechanics and Geohazards of Zhejiang Province, Shaoxing University, Shaoxing, People\u2019s Republic of China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2019,7]]},"reference":[{"key":"e_1_3_2_2_2","first-page":"439","article-title":"A novel hybrid method for non-traditional machining process selection using factor relationship and Multi-Attributive Border Approximation Method","volume":"15","author":"Chatterjee P.","year":"2017","unstructured":"ChatterjeeP., MondalS. and BoralS., A novel hybrid method for non-traditional machining process selection using factor relationship and Multi-Attributive Border Approximation Method, Facta Univ Ser Mech Eng 15 (2017), 439\u2013456.","journal-title":"Facta Univ Ser Mech Eng"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jbi.2018.10.003"},{"key":"e_1_3_2_4_2","first-page":"1","article-title":"Cosine measures of neutrosophic cubic sets for multiple attribute decision-making","volume":"121","author":"Lu Z.","year":"2017","unstructured":"LuZ. and YeJ., Cosine measures of neutrosophic cubic sets for multiple attribute decision-making, Symmetry 121 (2017), 1\u201310.","journal-title":"Symmetry"},{"key":"e_1_3_2_5_2","first-page":"1","article-title":"Hesitant interval neutrosophic linguistic set and its application in multiple attribute decision making","author":"Ye J.","year":"2017","unstructured":"YeJ., Hesitant interval neutrosophic linguistic set and its application in multiple attribute decision making, International Journal of Machine Learning and Cybernetics (2017), 1\u201312.","journal-title":"International Journal of Machine Learning and Cybernetics"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"e_1_3_2_7_2","first-page":"83","article-title":"Cubic sets","volume":"4","author":"Jun Y.B.","year":"2012","unstructured":"JunY.B., KimC.S. and YangK.O., Cubic sets, Annals of Fuzzy Mathematics and Informatics 4 (2012), 83\u201398.","journal-title":"Annals of Fuzzy Mathematics and Informatics"},{"key":"e_1_3_2_8_2","volume-title":"Neutrosophy: Neutrosophic Probability, Set, and Logic","author":"Smarandache F.","year":"1998","unstructured":"SmarandacheF. Neutrosophy: Neutrosophic Probability, Set, and Logic, American Research Press, Rehoboth, DE, USA1998."},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-151906"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.1615\/Int.J.UncertaintyQuantification.2017020446"},{"key":"e_1_3_2_11_2","first-page":"64","article-title":"GRA for multi attribute decision making in neutrosophic cubic set environment","volume":"15","author":"Banerjee D.","year":"2017","unstructured":"BanerjeeD., GiriB.C., PramanikS. and SmarandacheF., GRA for multi attribute decision making in neutrosophic cubic set environment, Neutrosophic Sets Syst 15 (2017), 64\u201373.","journal-title":"Neutrosophic Sets Syst"},{"key":"e_1_3_2_12_2","first-page":"44","article-title":"Neutrosophic cubic MCGDM method based on similarity measure","volume":"16","author":"Pramanik S.","year":"2017","unstructured":"PramanikS., DalapatiS., AlamS., RoyT.K. and SmarandacheF., Neutrosophic cubic MCGDM method based on similarity measure, Neutrosophic Sets Syst 16 (2017), 44\u201356.","journal-title":"Neutrosophic Sets Syst"},{"key":"e_1_3_2_13_2","first-page":"1378","article-title":"On hesitant fuzzy sets and decision, In: The 18th IEEE International Conference on Fuzzy Systems","author":"Torra V.","year":"2009","unstructured":"TorraV. and NarukawaY., On hesitant fuzzy sets and decision, In: The 18th IEEE International Conference on Fuzzy Systems, Jeju Island, Korea (2009), pp. 1378\u20131382.","journal-title":"Jeju Island, Korea"},{"key":"e_1_3_2_14_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 (2010), 529\u2013539.","journal-title":"International Journal of Intelligent, Systems"},{"issue":"4","key":"e_1_3_2_15_2","first-page":"215","article-title":"Vector similarity measures of hesitant fuzzy sets and their multiple attribute decision making","volume":"48","author":"Ye J.","year":"2014","unstructured":"YeJ., Vector similarity measures of hesitant fuzzy sets and their multiple attribute decision making, Journal of Economic Computation and Economic Cybernetics Studies and Research 48(4) (2014), 215\u2013226.","journal-title":"Journal of Economic Computation and Economic Cybernetics Studies and Research"},{"key":"e_1_3_2_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2011.01.028"},{"key":"e_1_3_2_17_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-171941"},{"key":"e_1_3_2_18_2","doi-asserted-by":"publisher","DOI":"10.3390\/a11090135"},{"issue":"140","key":"e_1_3_2_19_2","first-page":"241","article-title":"Distribution de la flore alpine dans le Bassin des Drouces et dans quelques regions voisines","volume":"37","author":"Jaccard P.","year":"1901","unstructured":"JaccardP., Distribution de la flore alpine dans le Bassin des Drouces et dans quelques regions voisines; Bulletin de la Soci\u00e9t\u00e9 Vaudoise des Sciences Naturelles, 37(140) (1901), 241\u2013272.","journal-title":"Bulletin de la Soci\u00e9t\u00e9 Vaudoise des Sciences Naturelles"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-182555","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/JIFS-182555","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-182555","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:38:37Z","timestamp":1777455517000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/JIFS-182555"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,7]]},"references-count":18,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2019,7,9]]}},"alternative-id":["10.3233\/JIFS-182555"],"URL":"https:\/\/doi.org\/10.3233\/jifs-182555","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,7]]}}}