Goal Programming Multi-objective Quadratic

This project presents priority based fuzzy goal programmingapproachrnto multi-objective quadratic programming problem. Inthe proposedrnapproach, we construct the quadratic membershipfunctions byrndetermining the individual best solution of theobjective functionsrnsubject to the system constraints. Thequadratic membershiprnfunctions are then transformed intoequivalent linear membershiprnfunctions at the individual bestsolution point by first order Taylorrnseries approximation. Thenfuzzy goal programming approach is usedrnfor achieving highestdegree of each of the membership goals byrnminimizing negativedeviational variables. Then, sensitivity analysisrnwith thevariations of the priority structure is performed to identifyrnthemost appropriate priority structure in the decision-makingcontextrnby using distance function. A numerical example issolved in order tornshow the efficiency of the proposed approach.rnKeywords:Goal programming, Multi-objective quadraticrnprogramming,Priority based fuzzy goal programming,rnQuadraticprogramming

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