00783nam a22001697a 4500040003600000082001600036100002500052245005700077260003500134300004500169500014000214500004000354500004100394502005900435546001200494650010700506  cRiphah International University  a519.72bNOO  aNoor Ul Huda (30742)  aSolution of bipolar fuzzy linear programming problem  aIslamabadb(unpublished)c2021  axvi, 43 p.b: ill., col.,c; 30 cm.e+CD  aSubmitted in fulfillment of the requirements for the degree of Master of Philosophy in Mathematics to the Department of Basic Sciences.  aIncludes bibliographical references  aThesis supervisor: Dr. Naveed Yaqoob  aThesis (M.Phil)--Riphah International University, 2021  aEnglish  aLinear programmingvArithmetic operationsvProgramming problemsvFuzzy numbersvMathematicsvDBSvFEAS