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Journal of Automation and Information Sciences
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ISSN Print: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v43.i2.20
pages 7-22

A Determined Equivalent and Algorithms of Solving a Fuzzy-linear Programming Problem

Yuriy A. Zack
European Centre for Mechatronics, Aachen (Germany)


Solution of a fuzzy-linear programming problem is reduced to solving a determined nonlinear extreme problem. The rules for ranking and estimating the domination for the fuzzy-sets, represented by LR fuzzy-intervals, are proposed. The monotonicity of fuzzy-sets, the left-hand sides of constraints and the optimality criterion of the problem relative to the vector of determined variables are established. The algorithms of solving the problem on the basis of the modified branch-and-bound method are developed.

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