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Ever-present impreciseness often makes way for natural inclination to fuzzy theory. In this paper, we intend to solve a quadratic programming problem (QPP) involving fuzzy parameters and fuzzy variables. We propose two approaches to solve such a QPP having not only fuzzy parameters in the objective function and constraints but fuzzy variables as well. This fully fuzzy QPP is eventually reduced to a crisp QPP and the solution is obtained in the form of fuzzy variables, first directly and later by applying Karush- Kuhn Tucker conditions. The proposed methods are also illustrated by some numerical examples.<\/jats:p>","DOI":"10.3233\/jifs-18692","type":"journal-article","created":{"date-parts":[[2019,6,11]],"date-time":"2019-06-11T11:57:58Z","timestamp":1560254278000},"page":"2757-2767","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["Methods to solve QPPs with fuzzy parameters and fuzzy variables"],"prefix":"10.1177","volume":"37","author":[{"given":"Sumati","family":"Mahajan","sequence":"first","affiliation":[{"name":"Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.K.","family":"Gupta","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 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