{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T23:34:48Z","timestamp":1723246488870},"reference-count":34,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["New Math. and Nat. Computation"],"published-print":{"date-parts":[[2020,7]]},"abstract":"<jats:p> Interval-valued Pythagorean fuzzy set is one of the successful extensions of the interval-valued intuitionistic fuzzy set for handling the uncertainties in the data. Under this environment, in this paper we introduce the notion of induced interval-valued Pythagorean fuzzy Einstein ordered weighted geometric (I-IVPFEOWG) operator and induced interval-valued Pythagorean fuzzy Einstein hybrid geometric (I-IVPFEHG) operator along with their some basic properties such as, idempotency, boundedness, commutatively, monotonicity. The main advantage of the induced aggregation operators is that, these operators are more suitable to aggregate the individual preference relations into a collective preference relation. Therefore these methods play a vigorous role in daily life problems. Furthermore, a method for multi-attribute group decision-making (MAGDM) problems based on these operators was developed, and the operational procedures were explained in detail. <\/jats:p>","DOI":"10.1142\/s1793005720500131","type":"journal-article","created":{"date-parts":[[2020,8,3]],"date-time":"2020-08-03T09:09:49Z","timestamp":1596445789000},"page":"211-230","source":"Crossref","is-referenced-by-count":4,"title":["Approaches to Some Induced Einstein Geometric Aggregation Operators Based on Interval-Valued Pythagorean Fuzzy Numbers and Their Application"],"prefix":"10.1142","volume":"16","author":[{"given":"Khaista","family":"Rahman","sequence":"first","affiliation":[{"name":"Department of Mathematics, Hazara University, Mansehra, Pakistan"}]}],"member":"219","published-online":{"date-parts":[[2020,8,3]]},"reference":[{"key":"S1793005720500131BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"key":"S1793005720500131BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"S1793005720500131BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(89)90205-4"},{"key":"S1793005720500131BIB004","doi-asserted-by":"publisher","DOI":"10.1002\/int.10127"},{"key":"S1793005720500131BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/s40815-018-0452-0"},{"key":"S1793005720500131BIB006","doi-asserted-by":"publisher","DOI":"10.1080\/03081079.2011.607448"},{"key":"S1793005720500131BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(99)00082-X"},{"key":"S1793005720500131BIB008","doi-asserted-by":"publisher","DOI":"10.1109\/CIS.2007.84"},{"key":"S1793005720500131BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/S1874-8651(08)60026-5"},{"key":"S1793005720500131BIB010","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2009.05.001"},{"key":"S1793005720500131BIB011","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-130960"},{"key":"S1793005720500131BIB012","doi-asserted-by":"publisher","DOI":"10.1109\/IFSA-NAFIPS.2013.6608375"},{"key":"S1793005720500131BIB013","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2013.2278989"},{"key":"S1793005720500131BIB014","doi-asserted-by":"publisher","DOI":"10.1002\/int.21584"},{"key":"S1793005720500131BIB015","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-16797"},{"key":"S1793005720500131BIB016","first-page":"66","volume":"54","author":"Rahman K.","year":"2017","journal-title":"The Nucleus"},{"key":"S1793005720500131BIB017","first-page":"190","volume":"54","author":"Rahman K.","year":"2017","journal-title":"The Nucleus"},{"key":"S1793005720500131BIB018","first-page":"67","volume":"7","author":"Rahman K.","year":"2017","journal-title":"Journal of Applied Environmental and Biological Sciences"},{"key":"S1793005720500131BIB019","first-page":"837","volume":"14","author":"Rahman K.","year":"2016","journal-title":"International Journal of Computer Science and Information Security"},{"key":"S1793005720500131BIB020","first-page":"122","volume":"7","author":"Rahman K.","year":"2017","journal-title":"Journal of Applied Environmental and Biological Sciences"},{"key":"S1793005720500131BIB021","doi-asserted-by":"publisher","DOI":"10.1002\/int.21676"},{"key":"S1793005720500131BIB022","doi-asserted-by":"publisher","DOI":"10.1002\/int.21738"},{"key":"S1793005720500131BIB023","doi-asserted-by":"publisher","DOI":"10.1002\/int.21809"},{"key":"S1793005720500131BIB024","doi-asserted-by":"publisher","DOI":"10.1002\/int.21860"},{"key":"S1793005720500131BIB025","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2015.10.012"},{"key":"S1793005720500131BIB026","doi-asserted-by":"publisher","DOI":"10.1002\/int.21790"},{"key":"S1793005720500131BIB027","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-162165"},{"key":"S1793005720500131BIB028","doi-asserted-by":"publisher","DOI":"10.1002\/int.21827"},{"key":"S1793005720500131BIB029","doi-asserted-by":"publisher","DOI":"10.1002\/int.21898"},{"key":"S1793005720500131BIB030","first-page":"113","volume":"50","author":"Rahman K.","year":"2018","journal-title":"Punjab University Journal of Mathematics"},{"key":"S1793005720500131BIB031","first-page":"1","author":"Rahman K.","year":"2017","journal-title":"Cogent Mathematics"},{"key":"S1793005720500131BIB033","doi-asserted-by":"publisher","DOI":"10.1007\/s41066-018-0091-8"},{"key":"S1793005720500131BIB034","doi-asserted-by":"publisher","DOI":"10.11648\/j.ml.20170304.11"},{"key":"S1793005720500131BIB035","doi-asserted-by":"publisher","DOI":"10.1142\/S1793005718500217"}],"container-title":["New Mathematics and Natural Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793005720500131","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,8,3]],"date-time":"2020-08-03T09:09:57Z","timestamp":1596445797000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793005720500131"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,7]]},"references-count":34,"journal-issue":{"issue":"02","published-print":{"date-parts":[[2020,7]]}},"alternative-id":["10.1142\/S1793005720500131"],"URL":"https:\/\/doi.org\/10.1142\/s1793005720500131","relation":{},"ISSN":["1793-0057","1793-7027"],"issn-type":[{"value":"1793-0057","type":"print"},{"value":"1793-7027","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,7]]}}}