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At present, the multiple criteria decision making methods using the Pythagorean fuzzy set are generally ranked based on the aggregation operator or the distance measure, ignoring the important tool of the similarity measure. Therefore, this paper proposes several new similarity measures of the Pythagorean fuzzy set and applies them to multiple criteria decision making problems. Firstly, several new similarity measures of the Pythagorean fuzzy set are proposed, and their properties are discussed. Then, based on the weighted similarity measures, the multiple criteria decision making method is proposed. Finally, the accuracy and reliability of the new similarity measures and the proposed multiple criteria decision making method are verified by the simulation cases.<\/jats:p>","DOI":"10.3233\/jifs-191723","type":"journal-article","created":{"date-parts":[[2020,6,19]],"date-time":"2020-06-19T12:07:42Z","timestamp":1592568462000},"page":"809-820","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":20,"title":["Multiple criteria decision making method based on the new similarity measures of Pythagorean fuzzy set"],"prefix":"10.1177","volume":"39","author":[{"given":"Qiang","family":"Zhang","sequence":"first","affiliation":[{"name":"Aeronautics Engineering College, Air Force Engineering University, Xi\u2019an, China"}]},{"given":"Junhua","family":"Hu","sequence":"additional","affiliation":[{"name":"Aeronautics Engineering College, Air Force Engineering University, Xi\u2019an, China"}]},{"given":"Jinfu","family":"Feng","sequence":"additional","affiliation":[{"name":"Aeronautics Engineering College, Air Force Engineering University, Xi\u2019an, China"}]},{"given":"An","family":"Liu","sequence":"additional","affiliation":[{"name":"Aeronautics Engineering College, Air Force Engineering University, Xi\u2019an, China"}]}],"member":"179","published-online":{"date-parts":[[2020,6,16]]},"reference":[{"key":"e_1_3_1_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(02)00216-X"},{"key":"e_1_3_1_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2007.08.008"},{"issue":"5","key":"e_1_3_1_4_2","first-page":"1","article-title":"Air multi-target threat assessment method based on improved GGIFSS","volume":"36","author":"Zhang Q.","year":"2019","unstructured":"ZhangQ., HuJ.H., FengJ.F. and LiuA., Air multi-target threat assessment method based on improved GGIFSS, Journal of Intelligent & Fuzzy Systems 36(5) (2019), 1\u201313.","journal-title":"Journal of Intelligent & Fuzzy Systems"},{"key":"e_1_3_1_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2017.06.034"},{"key":"e_1_3_1_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2018.04.036"},{"key":"e_1_3_1_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2012.12.032"},{"key":"e_1_3_1_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"e_1_3_1_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"key":"e_1_3_1_10_2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2013.2278989"},{"key":"e_1_3_1_11_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.21809"},{"key":"e_1_3_1_12_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.21946"},{"key":"e_1_3_1_13_2","first-page":"1","article-title":"A hybrid method for Pythagorean fuzzy multiple-criteria decision making[J]","volume":"14","author":"Zeng S.Z.","year":"2015","unstructured":"ZengS.Z., ChenJ.P. and LiX.S., A hybrid method for Pythagorean fuzzy multiple-criteria decision making[J], International Journal of Information Technology & Decision Making 14 (2015), 1\u201320.","journal-title":"International Journal of Information Technology & Decision Making"},{"issue":"10","key":"e_1_3_1_14_2","first-page":"1817","article-title":"Distance measures of Pythagorean fuzzy sets and their applications multi-criterion decision making[J]","volume":"32","author":"Li D.Q.","year":"2017","unstructured":"LiD.Q., ZengW.Y. and YinQ., Distance measures of Pythagorean fuzzy sets and their applications multi-criterion decision making[J], Control and Decision 32(10) (2017), 1817\u20131823.","journal-title":"Control and Decision"},{"key":"e_1_3_1_15_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.21676"},{"key":"e_1_3_1_16_2","doi-asserted-by":"publisher","DOI":"10.4028\/www.scientific.net\/AMR.219-220.160"},{"key":"e_1_3_1_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-8655(01)00110-6"},{"key":"e_1_3_1_18_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-2012-0527"},{"key":"e_1_3_1_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2010.07.022"},{"key":"e_1_3_1_20_2","doi-asserted-by":"crossref","unstructured":"HwangC.M. and YangM.S. 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