TY - JOUR
ID - 85487
TI - A fast algorithm for the linear programming problem constrained with the Weighted power mean -- Fuzzy Relational Equalities (WPM-FRE)
JO - Journal of Algorithms and Computation
JA - JAC
LA - en
SN - 2476-2776
Y1 - 2022
PY - 2022
VL -
IS -
SP - 1
EP - 13
KW - Fuzzy relational equalities
KW - mean operators
KW - weighted power mean
KW - fuzzy compositions
KW - Linear programming
DO - 10.22059/jac.2022.85487
N2 - In this paper, a linear programming problem is investigated in which the feasible region is formed as a special type of fuzzy relational equalities (FRE). In this type of FRE, fuzzy composition is considered as the weighted power mean operator (WPM). Some theoretical properties of the feasible region are derived and some necessary and sufficient conditions are also presented to determine the feasibility of the problem. Moreover, two procedures are proposed for simplifying the problem. Based on some structural properties of the problem, an algorithm is presented to find the optimal solutions and finally, an example is described to illustrate the algorithm.
UR - https://jac.ut.ac.ir/article_85487.html
L1 - https://jac.ut.ac.ir/article_85487_bd9ce3b9159dc04c2d6f8126570c0d68.pdf
ER -