Solving a possibilistic linear program through compromise programming
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| Název: | Solving a possibilistic linear program through compromise programming |
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| Autoři: | Jiménez López, Mariano, Rodríguez Uría, Ma. Victoria, Arenas Parra, Mar, Bilbao Terol, Amelia |
| Zdroj: | UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) Mathware & soft computing; 2000: Vol.: 7 Núm.: 2-3 |
| Informace o vydavateli: | Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 2000. |
| Rok vydání: | 2000 |
| Témata: | Classificació AMS::90 Operations research, mathematical programming::90C Mathematical programming, compromise programming, possibility distributions, linear programming, \(\alpha\)-degree feasible solutions, 90 Operations research, mathematical programming::90C Mathematical programming [Classificació AMS], fuzzy number ranking, Classificació AMS::90 Operations research, mathematical programming::90C Mathematical programming, fuzzy parameters, Fuzzy numbers ranking, expected interval, expected value, preference relationship of fuzzy numbers, Linear programming, Programació (Matemàtica), Possibility distribution, Fuzzy and other nonstochastic uncertainty mathematical programming, Multi-objective and goal programming, Compromise programming, Expected interval, Expected value, Sistemes experts (Informàtica) |
| Popis: | In this paper we propose a method to solve a linear programming problem involving fuzzy parameters whose possibility distributions are given by fuzzy numbers. To address the above problem we have used a preference relationship of fuzzy numbers that leads us to a solving method that produces the so-called $\alpha$-degree feasible solutions. It must be pointed out that the final solution of the problem depends critically on this degree of feasibility, which is in conflict with the optimal value of the objective function. Then DM faces a bi-objective problem that we will solve through a Compromise Programming approach, whose solution lets the Decision-Maker express his own preferences about feasibility versus optimality. Our proposed method will be illustrated by a numerical example |
| Druh dokumentu: | Article |
| Popis souboru: | application/pdf; application/xml; text/html |
| Jazyk: | English |
| Přístupová URL adresa: | https://hdl.handle.net/2099/3575 http://hdl.handle.net/2099/3575 https://zbmath.org/1648847 http://www.raco.cat/index.php/Mathware/article/view/84816 |
| Rights: | CC BY NC ND |
| Přístupové číslo: | edsair.dedup.wf.002..f859e64ab6fefef1765817fbf39d4b62 |
| Databáze: | OpenAIRE |
Nájsť tento článok vo Web of Science | Abstrakt: | In this paper we propose a method to solve a linear programming problem involving fuzzy parameters whose possibility distributions are given by fuzzy numbers. To address the above problem we have used a preference relationship of fuzzy numbers that leads us to a solving method that produces the so-called $\alpha$-degree feasible solutions. It must be pointed out that the final solution of the problem depends critically on this degree of feasibility, which is in conflict with the optimal value of the objective function. Then DM faces a bi-objective problem that we will solve through a Compromise Programming approach, whose solution lets the Decision-Maker express his own preferences about feasibility versus optimality. Our proposed method will be illustrated by a numerical example |
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