Goal programming, Multi-objective quadratic
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Date
2015-11
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Addis Ababa University
Abstract
This project presents priority based fuzzy goal programmingapproach
to multi-objective quadratic programming problem. Inthe proposed
approach, we construct the quadratic membershipfunctions by
determining the individual best solution of theobjective functions
subject to the system constraints. Thequadratic membership
functions are then transformed intoequivalent linear membership
functions at the individual bestsolution point by first order Taylor
series approximation. Thenfuzzy goal programming approach is used
for achieving highestdegree of each of the membership goals by
minimizing negativedeviational variables. Then, sensitivity analysis
with thevariations of the priority structure is performed to identify
themost appropriate priority structure in the decision-makingcontext
by using distance function. A numerical example issolved in order to
show the efficiency of the proposed approach.
Keywords:Goal programming, Multi-objective quadratic
programming,Priority based fuzzy goal programming,
Quadraticprogramming
Description
Keywords
Goal programming, Multi-objective quadratic, programming,Priority based fuzzy goal programming, Quadraticprogramming