The development of a software dedicated to solving the fuzzy liniar programs

Ovidiu Gherasim () and Dorian Vladeanu ()
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Ovidiu Gherasim: “Gh. Zane” Institute of Economic and Social Research, Romanian Academy, Iasi Branch
Dorian Vladeanu: “Gh. Zane” Institute of Economic and Social Research, Romanian Academy, Iasi Branch

THE YEARBOOK OF THE "GH. ZANE" INSTITUTE OF ECONOMIC RESEARCHES, 2019, vol. 28, issue 1, 5-20

Abstract: A fuzzy linear program is a linear program in which the input parameters are mathematically modeled with fuzzy numbers. The benefit vector, the unknown vector, the constraint matrix, and the free terms vector composing a fuzzy linear program, all have fuzzy number components. The article develops algorithmic steps with which one can make a software for solving fuzzy linear programs. Even if the triangular fuzzy numbers were used in the example presented, the algorithm is valid for all polygonal fuzzy numbers. In practice elementary fuzzy numbers such as rectangular, triangular and trapezoidal fuzzy numbers can be used; the medium fuzzy numbers such as the hexagonal and octagonal fuzzy numbers or the large fuzzy numbers such as the decagonal, dodecagonal, fuzzy numbers can also be used. By using fuzzy numbers in linear programming, answers are provided to practical problems in a more realistic manner

Keywords: linear programming; simplex algorithm; triangular fuzzy numbers. (search for similar items in EconPapers)
Date: 2019
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