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Since, the already existing techniques for finding entropy and distance measures are not working for PFSSs, it is necessary to introduce these techniques in the contest of PFSSs. This work proposes a characterization of the Pythagorean fuzzy soft entropy. Also, the expressions for the standard distance measures like Hamming distance and Euclidean distance are obtained. Further, the applications of PFSSs in decision making problem and pattern recognition problem are discussed. Finally, comparative studies with other existing equations are also carried out.<\/jats:p>","DOI":"10.3233\/jifs-190217","type":"journal-article","created":{"date-parts":[[2019,7,5]],"date-time":"2019-07-05T10:55:30Z","timestamp":1562324130000},"page":"4071-4084","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":63,"title":["Entropy and distance measures of Pythagorean fuzzy soft sets and their applications"],"prefix":"10.1177","volume":"37","author":[{"given":"T.M.","family":"Athira","sequence":"first","affiliation":[{"name":"Department of Mathematics, National Institute of Technology, Calicut, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sunil Jacob","family":"John","sequence":"additional","affiliation":[{"name":"Department of Mathematics, National Institute of Technology, Calicut, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Harish","family":"Garg","sequence":"additional","affiliation":[{"name":"School of Mathematics, Thapar Institute of Engineering &amp; Technology, Deemed University Patiala, Punjab, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2019,7,2]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.22067"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2019.2897961"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2006.890678"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2016.08.017"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.engappai.2017.02.008"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-131019"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.1007\/s40998-018-0167-0"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2016.02.049"},{"key":"e_1_3_2_12_2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2013.2278989"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.21738"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.21809"},{"key":"e_1_3_2_15_2","first-page":"1","article-title":"Certain graphs under pythagorean fuzzy environment","author":"Akram M.","year":"2019","unstructured":"M.Akram, J. 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