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The proposed methodology provides reliable and consistent IMPR, which can be quantified in terms of row geometric mean method (RGMM) or the eigenvalue method (EM). In this manner, decision makers\u2019 choices are implicitly including their uncertainty while maintaining acceptable consistency. The present approach is based on the Hadamard\u2019s dissimilarity operator and through an algorithm, the derivation of a reliable and consistent IMPR is synthesized. In order to illustrate our results and compare them appropriately with other methodologies, a few examples are addressed and solved.<\/jats:p>","DOI":"10.1142\/s0219622018500359","type":"journal-article","created":{"date-parts":[[2018,5,30]],"date-time":"2018-05-30T01:58:26Z","timestamp":1527645506000},"page":"1561-1585","source":"Crossref","is-referenced-by-count":6,"title":["A Reliable Method for Consistency Improving of Interval Multiplicative Preference Relations Expressed under Uncertainty"],"prefix":"10.1142","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2043-8766","authenticated-orcid":false,"given":"Virgilio","family":"L\u00f3pez-Morales","sequence":"first","affiliation":[{"name":"Centro de Investigaci\u00f3n en Tecnolog\u00edas de Informaci\u00f3n y Sistemas, Universidad Aut\u00f3noma del Estado de Hidalgo, Carretera Pachuca-Tulancingo km. 4.5, Pachuca 42184, M\u00e9xico"}]}],"member":"219","published-online":{"date-parts":[[2018,9,30]]},"reference":[{"key":"S0219622018500359BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2013.04.046"},{"key":"S0219622018500359BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/j.inffus.2013.04.002"},{"key":"S0219622018500359BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.dss.2011.05.003"},{"key":"S0219622018500359BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2009.09.067"},{"key":"S0219622018500359BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/j.dss.2010.11.024"},{"key":"S0219622018500359BIB006","doi-asserted-by":"publisher","DOI":"10.1016\/j.dss.2010.12.009"},{"key":"S0219622018500359BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/j.dss.2011.04.004"},{"key":"S0219622018500359BIB008","doi-asserted-by":"publisher","DOI":"10.1142\/S0219622012500095"},{"key":"S0219622018500359BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2014.02.137"},{"key":"S0219622018500359BIB011","doi-asserted-by":"publisher","DOI":"10.3846\/20294913.2016.1210694"},{"key":"S0219622018500359BIB012","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488508005236"},{"key":"S0219622018500359BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2014.12.061"},{"key":"S0219622018500359BIB014","doi-asserted-by":"publisher","DOI":"10.1016\/0377-2217(89)90231-2"},{"key":"S0219622018500359BIB015","doi-asserted-by":"publisher","DOI":"10.1080\/18756891.2016.1149999"},{"key":"S0219622018500359BIB016","doi-asserted-by":"publisher","DOI":"10.1057\/s41274-016-0171-6"},{"key":"S0219622018500359BIB017","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2017.12.010"},{"key":"S0219622018500359BIB018","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2009.01.010"},{"key":"S0219622018500359BIB019","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2011.11.042"},{"key":"S0219622018500359BIB020","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2004.06.080"},{"key":"S0219622018500359BIB021","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(99)00082-X"},{"key":"S0219622018500359BIB022","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2004.10.020"},{"key":"S0219622018500359BIB023","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2013.07.018"},{"key":"S0219622018500359BIB024","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2012.01.019"},{"key":"S0219622018500359BIB025","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2011.01.019"},{"key":"S0219622018500359BIB026","doi-asserted-by":"publisher","DOI":"10.1142\/S0219622016500498"},{"key":"S0219622018500359BIB027","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2008.2008028"},{"volume-title":"The Analytic Hierarchy Process","year":"1980","author":"Saaty T.","key":"S0219622018500359BIB028"},{"key":"S0219622018500359BIB029","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2013.11.035"},{"key":"S0219622018500359BIB030","doi-asserted-by":"publisher","DOI":"10.1016\/j.dss.2010.03.003"},{"key":"S0219622018500359BIB031","doi-asserted-by":"publisher","DOI":"10.1016\/j.dss.2011.11.022"},{"key":"S0219622018500359BIB032","doi-asserted-by":"publisher","DOI":"10.1016\/0893-9659(94)90093-0"},{"key":"S0219622018500359BIB033","doi-asserted-by":"publisher","DOI":"10.1016\/0022-2496(85)90002-1"},{"key":"S0219622018500359BIB034","doi-asserted-by":"publisher","DOI":"10.1016\/j.dss.2006.08.001"},{"key":"S0219622018500359BIB035","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-46221-8","volume-title":"Handbook of Mathematics","author":"Bronshtein I.","year":"2015"},{"volume-title":"Ch. 2 in Applied Statistics: From Bivariate Through Multivariate Techniques","year":"2013","author":"Warner R. 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