TY - JOUR
ID - 58381
TI - Linear programming problem with generalized interval-valued fuzzy numbers
JO - Annals of Optimization Theory and Practice
JA - AOTP
LA - en
SN - 2588-3666
AU - Taghaodi, Rohollah
AU - Kardani, Fatemeh
AD - Department of Mathematics, Kashan Branch, Islamic Azad University, Kashan, Iran
AD - Department of Industrial Engineering, Masjed-Soleiman Branch, Islamic Azad University, Masjed-Soleiman, Iran
Y1 - 2018
PY - 2018
VL - 1
IS - 2
SP - 1
EP - 9
KW - Linear programming problem
KW - Generalized trapezoidal fuzzy number
KW - Interval-valued generalized trapezoidal fuzzy number
DO - 10.22121/aotp.2018.119731.1010
N2 - 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.
UR - http://aotp.fabad-ihe.ac.ir/article_58381.html
L1 - http://aotp.fabad-ihe.ac.ir/article_58381_a9b86c96007308f6d3316bfc2eccec6c.pdf
ER -