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Then we explore the fundamentals operations, expressions and the selection rule of C-EPFS and P-EPFS. We propose the corresponding aggregation operators and investigate the relationship among these operators. The credible extended Pythagorean fuzzy numbers (C-EPFNs) and possible extended Pythagorean fuzzy numbers (P-EPFNs) tends to aggregate the extreme and aggregating complete information respectively. Finally to show the applicability and effectiveness of the proposed approach a preference risk decision making problem is given. Keywords: Extended Pythagorean fuzzy set (EPFS), credible extended Pythagorean fuzzy set (C-EPFS), possible extended Pythagorean fuzzy set (P-EPFS), decision making.<\/jats:p>","DOI":"10.3233\/jifs-181385","type":"journal-article","created":{"date-parts":[[2019,1,11]],"date-time":"2019-01-11T11:37:09Z","timestamp":1547206629000},"page":"325-335","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":20,"title":["Approaches to multi-attribute decision making with risk preference under extended Pythagorean fuzzy environment"],"prefix":"10.1177","volume":"36","author":[{"given":"Aurang","family":"Zeb","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Science and Technology Bannu, KPK, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Muhammad Sajjad Ali","family":"Khan","sequence":"additional","affiliation":[{"name":"Deparment of Mathematics Hazara University, Mansehra, KPK, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Muhammad","family":"Ibrar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Science and Technology Bannu, KPK, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2019,1,8]]},"reference":[{"key":"e_1_3_1_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"key":"e_1_3_1_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(89)90205-4"},{"key":"e_1_3_1_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2005.06.001"},{"key":"e_1_3_1_5_2","doi-asserted-by":"publisher","DOI":"10.5465\/amj.2011.60263120"},{"key":"e_1_3_1_6_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10588-017-9242-8"},{"key":"e_1_3_1_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(02)00127-6"},{"key":"e_1_3_1_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(97)00371-0"},{"key":"e_1_3_1_9_2","first-page":"2111","article-title":"Dynamic trust model based on fuzzy set in heterogeneous wireless network","volume":"30","author":"Huang K.Z.","year":"2010","unstructured":"HuangK.Z., HeX.J., ZhangP. and LuoX.G., Dynamic trust model based on fuzzy set in heterogeneous wireless network. 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