Linear programming problems with some multi-choice fuzzy parameters
| Autor: | Pradhan Avik, Prasad Biswal Mahendra |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Yugoslav Journal of Operations Research, Vol 28, Iss 2, Pp 249-264 (2018) |
| Druh dokumentu: | article |
| ISSN: | 0354-0243 1820-743X |
| DOI: | 10.2298/YJOR160520004P |
| Popis: | In this paper, we consider some Multi-choice linear programming (MCLP) problems where the alternative values of the multi-choice parameters are fuzzy numbers. There are some real-life situations where we need to choose a value for a parameter from a set of different choices to optimize our objective, and those values of the parameters can be imprecise or fuzzy. We formulate these situations as a mathematical model by using some fuzzy numbers for the alternatives. A defuzzification method based on incentre point of a triangle has been used to find the defuzzified values of the fuzzy numbers. We determine an equivalent crisp multi-choice linear programming model. To tackle the multi-choice parameters, we use Lagranges interpolating polynomials. Then, we establish a transformed mixed integer nonlinear programming problem. By solving the transformed non-linear programming model, we obtain the optimal solution for the original problem. Finally, two numerical examples are presented to demonstrate the proposed model and methodology. |
| Databáze: | Directory of Open Access Journals |
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