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In this paper, we propose a novel approach based on TOPSIS method and the maximizing deviation method for solving MADM problems where the evaluation information provided by the decision makers (DMs) is expressed in form of Pythagorean hesitant fuzzy numbers and the information about attribute weights is incomplete. To determine the attribute weight we develop an optimization model based on maximizing deviation method. Finally we provide a practical decision-making problem to demonstrate the implementation process of the proposed method.<\/jats:p>","DOI":"10.3233\/jifs-171190","type":"journal-article","created":{"date-parts":[[2018,11,27]],"date-time":"2018-11-27T12:32:05Z","timestamp":1543321925000},"page":"5435-5448","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":39,"title":["New extension of TOPSIS method based on Pythagorean hesitant fuzzy sets with incomplete weight information"],"prefix":"10.1177","volume":"35","author":[{"given":"Muhammad","family":"Sajjad Ali Khan","sequence":"first","affiliation":[{"name":"Department of Mathematics, Hazara University, Mansehra, KPK, Pakistan"}]},{"given":"Asad","family":"Ali","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Hazara University, Mansehra, KPK, 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