| Authors | Hassan Hassanpour, ,Elham Hosseinzadeh |
|---|
| Journal | Applications of Mathematics |
|---|
| Page number | 269-287 |
|---|
| Serial number | 68 |
|---|
| Volume number | 3 |
|---|
| Paper Type | Full Paper |
|---|
| Published At | 2023 |
|---|
| Journal Grade | ISI |
|---|
| Journal Type | Typographic |
|---|
| Journal Country | Iran, Islamic Republic Of |
|---|
| Journal Index | JCR،Scopus |
|---|
| Keywords | multi, objective linear programming; intuitionistic fuzzy set; accuracy function; membership function; non, membership function; supplier selection |
|---|
Abstract
The aim of this paper is solving an intuitionistic fuzzy multi-objective linear
programming problem containing intuitionistic fuzzy parameters, intuitionistic fuzzy maximization/minimization, and intuitionistic fuzzy constraints. To do this, a linear ranking
function is used to convert the intuitionistic fuzzy parameters to crisp ones first. Then, linear
membership and non-membership functions are used to manipulate intuitionistic fuzzy maximization/minimization and intuitionistic fuzzy constraints. Then, a multi-objective optimization problem is formulated containing maximization of membership functions and minimization of non-membership functions. To solve this problem, the minimax and weighted sum methods are used. Then, the described procedure is summarized as an algorithm to solve the problem, and a numerical example is solved by the proposed method. Finally, to investigate the capability and performance of the model, a supplier selection problem, which is one of the important applications in supply chain management, is solved by the proposed algorithm.
Paper URL