Duality Theory in Interval-Valued Linear Programming Problems |
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Authors: | Hsien-Chung Wu |
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Institution: | (3) Virginia Polytechnic Inst. and State Univ., Blacksburg, Virginia 24061, USA |
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Abstract: | The weak and strong duality theorems in interval-valued linear programming problems are derived in this paper. The primal
and dual interval-valued linear programming problems are formulated by proposing the concept of a scalar (inner) product of
closed intervals. We introduce a solution concept that is essentially similar to the notion of nondominated solution in multiobjective
programming problems by imposing a partial ordering on the set of all closed intervals. Under these settings, the weak and
strong duality theorems for interval-valued linear programming problems are derived naturally. |
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Keywords: | |
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