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We also consider the connection between N-reciprocal relations and transitivity properties. We provide a numerical example where the final alternative is chosen with the use of generalized voting method, where admissible linear orders for intervals are applied. <\/jats:p>","DOI":"10.1142\/s0218488517400037","type":"journal-article","created":{"date-parts":[[2017,12,7]],"date-time":"2017-12-07T04:14:33Z","timestamp":1512620073000},"page":"43-72","source":"Crossref","is-referenced-by-count":13,"title":["N-Reciprocity Property for Interval-Valued Fuzzy Relations with an Application to Group Decision Making Problems in Social Networks"],"prefix":"10.1142","volume":"25","author":[{"given":"Urszula","family":"Bentkowska","sequence":"first","affiliation":[{"name":"Interdisciplinary Centre for Computational Modelling, Faculty of Mathematics and Natural Sciences, University of Rzesz\u00f3w, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Barbara","family":"P\u0229kala","sequence":"additional","affiliation":[{"name":"Interdisciplinary Centre for Computational Modelling, Faculty of Mathematics and Natural Sciences, University of Rzesz\u00f3w, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Humberto","family":"Bustince","sequence":"additional","affiliation":[{"name":"Departamento de Automatica y Computacion, Universidad Publica de Navarra, Pamplona, Spain"},{"name":"Institute of Smart Cities, Universidad Publica de Navarra, Pamplona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Javier","family":"Fernandez","sequence":"additional","affiliation":[{"name":"Departamento de Automatica y Computacion, Universidad Publica de Navarra, Pamplona, Spain"},{"name":"Institute of Smart Cities, Universidad Publica de Navarra, Pamplona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Aranzazu","family":"Jurio","sequence":"additional","affiliation":[{"name":"Departamento de Automatica y Computacion, Universidad Publica de Navarra, Pamplona, Spain"},{"name":"Institute of Smart Cities, Universidad Publica de Navarra, Pamplona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Krzysztof","family":"Balicki","sequence":"additional","affiliation":[{"name":"Interdisciplinary Centre for Computational Modelling, Faculty of Mathematics and Natural Sciences, University of Rzesz\u00f3w, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2017,12,6]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2013.10.002"},{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2010.04.018"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2015.03.012"},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2015.06.001"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00020-7"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2012.07.015"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2011.2173581"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2013.2265090"},{"key":"p_11","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2011.04.175"},{"key":"p_12","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(96)00339-9"},{"key":"p_13","first-page":"219","author":"Chiclana F.","year":"2008","journal-title":"Berlin"},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(94)00379-9"},{"key":"p_15","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2003.822678"},{"key":"p_16","first-page":"183","author":"Deschrijver G.","year":"2008","journal-title":"Berlin"},{"key":"p_17","first-page":"18","volume":"2011","author":"Deschrijver G.","year":"2011","journal-title":"Proc. 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