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Firstly, the equivalent quadratic programming of FNQP is presented by utilizing a linear ranking function and the dual of fuzzy number quadratic programming primal problems is introduced. Secondly, we present optimality conditions for fuzzy number quadratic programming. We then prove several duality results for fuzzy number quadratic programming problems with fuzzy coefficients.<\/jats:p>","DOI":"10.1155\/2014\/489893","type":"journal-article","created":{"date-parts":[[2014,4,23]],"date-time":"2014-04-23T23:03:07Z","timestamp":1398294187000},"page":"1-8","source":"Crossref","is-referenced-by-count":5,"title":["Optimality Conditions for Fuzzy Number Quadratic Programming with Fuzzy Coefficients"],"prefix":"10.1155","volume":"2014","author":[{"given":"Xue-Gang","family":"Zhou","sequence":"first","affiliation":[{"name":"School of Mathematics and Information Science, Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong, Higher Education Institutes, Guangzhou University, Guangzhou, Guangdong 510006, China"},{"name":"Department of Applied Mathematics, Guangdong University of Finance, Guangzhou, Guangdong 510521, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bing-Yuan","family":"Cao","sequence":"additional","affiliation":[{"name":"School of Mathematics and Information Science, Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong, Higher Education Institutes, Guangzhou University, Guangzhou, Guangdong 510006, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Seyed Hadi","family":"Nasseri","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, University of Mazandaran, P.O. 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