An algorithm to Solve the Linear Programming Problem Constrained with the Harmonic–Fuzzy Relational Equalities
Document Type : Research Paper
10.22059/jac.2022.85497
Abstract
In this paper, a linear programming problem is investigated in which the feasible region is formed as the intersection of fuzzy relational equalities and the harmonic mean operator is considered as fuzzy composition. Theoretical properties of the feasible region are derived. It is proved that the feasible solution set is comprised of one maximum solution and a finite number of minimal solutions. Furthermore, some necessary and sufficient conditions are additionally presented to determine the feasibility of the problem. Moreover, an algorithm is presented to find the optimal solutions of the problem and finally, an example is described to illustrate the algorithm.
(2022). An algorithm to Solve the Linear Programming Problem Constrained with the Harmonic–Fuzzy Relational Equalities. Journal of Algorithms and Computation, (), 1-9. doi: 10.22059/jac.2022.85497
MLA
. "An algorithm to Solve the Linear Programming Problem Constrained with the Harmonic–Fuzzy Relational Equalities". Journal of Algorithms and Computation, , , 2022, 1-9. doi: 10.22059/jac.2022.85497
HARVARD
(2022). 'An algorithm to Solve the Linear Programming Problem Constrained with the Harmonic–Fuzzy Relational Equalities', Journal of Algorithms and Computation, (), pp. 1-9. doi: 10.22059/jac.2022.85497
VANCOUVER
An algorithm to Solve the Linear Programming Problem Constrained with the Harmonic–Fuzzy Relational Equalities. Journal of Algorithms and Computation, 2022; (): 1-9. doi: 10.22059/jac.2022.85497
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