Title of article
Linear programming problem with interval-valued generalized trapezoidal fuzzy numbers
Author/Authors
Taghaodi ، Rohollah Department of Mathematics - Islamic Azad University, Kashan Branch , Kardani ، Fatemeh Department of Industrial Engineering - Islamic Azad University, Masjed-Soleiman Branch
From page
1
To page
9
Abstract
In this paper, we concentrate on linear programming problems in which the cost vector, the technological coefficients and the right-hand side values are interval-valued generalized trapezoidal fuzzy numbers. To the best of our knowledge, till now there is no method described in the literature to find the optimal solution of the linear programming problems with interval-valued generalized trapezoidal fuzzy numbers. We apply the signed distance for defuzzification of this problem. The crisp problem obtained after the defuzzification is solved by the linear programming methods. Finally, we give an illustrative example and its numerical solutions.
Keywords
Linear programming problem , Generalized trapezoidal fuzzy number , Interval , valued generalized trapezoidal fuzzy number
Journal title
Annals of Optimization Theory and Practice
Journal title
Annals of Optimization Theory and Practice
Record number
2623126
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