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The main purpose of this paper is to introduce the concepts of cardinality, dominating set, independent set, total dominating number and independent dominating number of a vague graph. The notion of irredundance number of a vague graph is discussed, too. Finally we give an application of domination in vague graphs.\n                  <\/jats:p>","DOI":"10.3233\/ifs-151671","type":"journal-article","created":{"date-parts":[[2015,11,10]],"date-time":"2015-11-10T11:35:10Z","timestamp":1447155310000},"page":"1933-1940","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":53,"title":["Domination in vague graphs and\u00a0its\u00a0applications"],"prefix":"10.1177","volume":"29","author":[{"given":"RA","family":"Borzooei","sequence":"first","affiliation":[{"name":"Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran"}]},{"given":"Hossein","family":"Rashmanlou","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, 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