An alternative optimization technique for interval objective constrained optimization problems via multiobjective programming |
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Affiliation: | 1. Department of Business Mathematics and Statistics, St. Xavier’s College (Autonomous), Kolkata 700016, India;2. Department of Mathematics, The University of Burdwan, Burdwan 713104, India |
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Abstract: | An alternative optimization technique via multiobjective programming for constrained optimization problems with interval-valued objectives has been proposed. Reduction of interval objective functions to those of noninterval (crisp) one is the main ingredient of the proposed technique. At first, the significance of interval-valued objective functions along with the meaning of interval-valued solutions of the proposed problem has been explained graphically. Generally, the proposed problems have infinitely many compromise solutions. The objective is to obtain one of such solutions with higher accuracy and lower computational effort. Adequate number of numerical examples has been solved in support of this technique. |
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Keywords: | Multiple objective programming Interval objective Uncertainty in optimization Interval numbers Interval mathematics |
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