Possibilistic Linear Programming Problem involving Multi-choice Parameters

  • S. K. Barik Department of Mathematics, Shree Jagannath Mahavidylaya, Naugaonhat, Jagatsinghpur, Odisha, India
Keywords: Possibilistic linear programming problem, Multi-objective mixed-integer linear programming problem, Triangular possibility distribution, Multi-choice parameters, Binary variables,, Fuzzy programming approach

Abstract

In this study, a new solution method is proposed for the possibilistic linear programming problem. The right-hand side parameters of the constraint are considered to be multi-choice. The cost coefficient of the objective function is considered to be triangular possibility distribution. In this model, the possibility is characterized by the triangular possibility distribution whereas the multi-choice is handled by the linear combination of binary variable technique. In order to solve the proposed model, a crisp equivalent deterministic multi-objective mixed-integer linear programming problem is established. Then, solve the model using the fuzzy programming approach. Finally, an example numerical model is provided to test the methodology and solution
procedure.

Published
2024-01-27
How to Cite
Barik, S. K. (2024). Possibilistic Linear Programming Problem involving Multi-choice Parameters. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 10(1), 1 - 11. Retrieved from http://ijmso.unilag.edu.ng/article/view/2036
Issue
Vol 10 No 1 (2024):
Section
Articles

Copyright (c) 2024 S. K. Barik

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