%0 Journal Article %T Fuzzy Linear Programming and its Application for a Constructive Proof of a Fuzzy Version of Farkas Lemma %A S. H. Nasseri %A Chitgar %J International Journal of Applied Operational Research %D 2012 %I Islamic Azad University %X The main aim of this paper is to deal with a fuzzy version of Farkas lemma involving trapezoidal fuzzy numbers. In turns to that the fuzzy linear programming and duality theory on these problems can be used to provide a constructive proof for Farkas lemma. Keywords Farkas Lemma, Fuzzy Linear Programming, Duality, Ranking Functions. %U http://www.ijorlu.ir/browse.php?a_code=A-10-1-14&slc_lang=en&sid=1