Pareto-optimal solutions in fuzzy multi-objective linear programming
The problem of solving multi-objective linear-programming problems, by assuming that the decision maker has fuzzy goals for each of the objective functions, is addressed. Several methods have been proposed in the literature in order to obtain fuzzy-efficient solutions to fuzzy multi-objective progra...
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| Published in: | Fuzzy sets and systems Vol. 160; no. 18; pp. 2714 - 2721 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
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Elsevier B.V
16.09.2009
Elsevier |
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| ISSN: | 0165-0114, 1872-6801 |
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| Abstract | The problem of solving multi-objective linear-programming problems, by assuming that the decision maker has fuzzy goals for each of the objective functions, is addressed. Several methods have been proposed in the literature in order to obtain fuzzy-efficient solutions to fuzzy multi-objective programming problems. In this paper we show that, in the case that one of our goals is fully achieved, a fuzzy-efficient solution may not be Pareto-optimal and therefore we propose a general procedure to obtain a non-dominated solution, which is also fuzzy-efficient. Two numerical examples illustrate our procedure. |
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| AbstractList | The problem of solving multi-objective linear-programming problems, by assuming that the decision maker has fuzzy goals for each of the objective functions, is addressed. Several methods have been proposed in the literature in order to obtain fuzzy-efficient solutions to fuzzy multi-objective programming problems. In this paper we show that, in the case that one of our goals is fully achieved, a fuzzy-efficient solution may not be Pareto-optimal and therefore we propose a general procedure to obtain a non-dominated solution, which is also fuzzy-efficient. Two numerical examples illustrate our procedure. |
| Author | Jiménez, Mariano Bilbao, Amelia |
| Author_xml | – sequence: 1 givenname: Mariano surname: Jiménez fullname: Jiménez, Mariano email: mariano.jimenez@ehu.es organization: Dpto. de Economía Aplicada I, Universidad del País Vasco, Plaza Oñati 1. 20018 San Sebastián, Spain – sequence: 2 givenname: Amelia surname: Bilbao fullname: Bilbao, Amelia email: ameliab@uniovi.es organization: Dpto. de Economía Cuantitativa, Universidad de Oviedo, Avda. del Cristo s/n. 33006 Oviedo, Spain |
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| Keywords | Fuzzy-efficient solution Two-phase method Multi-objective programming Fuzzy mathematical programming Pareto-optimal solution Goal programming Fuzzy system Linear programming Fuzzy set Engineering Optimal solution Information processing Problem solving Fuzzy-eflicient solution Mathematical programming |
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| SubjectTerms | Applied sciences Circuit properties Computer science; control theory; systems Control theory. Systems Digital circuits Electric, optical and optoelectronic circuits Electronic circuits Electronics Exact sciences and technology Fuzzy mathematical programming Fuzzy-efficient solution Goal programming Information, signal and communications theory Mathematical methods Miscellaneous Multi-objective programming Pareto-optimal solution System theory Telecommunications and information theory Theoretical computing Two-phase method |
| Title | Pareto-optimal solutions in fuzzy multi-objective linear programming |
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