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Our main discussion in this research paper is to apply the notion of intuitionistic fuzzy sets to extend the theory of hypergraphs. We introduce the concept of isomorphism, dual intuitionistic fuzzy hypergraph, intuitionistic fuzzy line graph and 2-section of an intuitionistic fuzzy hypergraph. We present some applications of intuitionistic fuzzy hypergraphs in planet surface networks, selection of authors of of intersecting communities in a social network and grouping of incompatible chemical substances. We design certain algorithms to construct dual intuitionistic fuzzy hypergraph, intuitionistic fuzzy line graph and the selection of objects in decision-making problems.<\/jats:p>","DOI":"10.3233\/jifs-171443","type":"journal-article","created":{"date-parts":[[2018,8,31]],"date-time":"2018-08-31T11:50:02Z","timestamp":1535716202000},"page":"1905-1922","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":12,"title":["A novel decision-making approach based on hypergraphs in intuitionistic fuzzy environment"],"prefix":"10.1177","volume":"35","author":[{"given":"Muhammad","family":"Akram","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Musavarah","family":"Sarwar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rajab Ali","family":"Borzooei","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Shahid Beheshti University, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2018,8,26]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2012.06.024"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1155\/2014\/904606"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1155\/2014\/305836"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-16859"},{"key":"e_1_3_2_6_2","first-page":"426","article-title":"Properties of bipolar fuzzy hypergraphs","volume":"31","author":"Akram M.","year":"2013","unstructured":"AkramM., DudekW.A. and SarwarS., Properties of bipolar fuzzy hypergraphs, Italian Journal of Pure and Applied Mathematics 31 (2013), 426\u2013458.","journal-title":"Italian Journal of Pure and Applied Mathematics"},{"key":"e_1_3_2_7_2","volume-title":"Intuitionistic fuzzy sets, VII ITKR\u2019s Session, Deposed in Central for Science-Technical Library of Bulgarian Academy of Sciences 1697\/84","author":"Atanassov K.T.","year":"1983","unstructured":"AtanassovK.T. 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