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Using the technique of scalarization to solve the multiobjective programming problems with fuzzy coefficients
- Source :
-
Mathematical & Computer Modelling . Jul2008, Vol. 48 Issue 1/2, p232-248. 17p. - Publication Year :
- 2008
-
Abstract
- Abstract: Scalarization of the multiobjective programming problems with fuzzy coefficients using the embedding theorem and the concept of convex cone (ordering cone) is proposed in this paper. Since the set of all fuzzy numbers can be embedded into a normed space, this motivation naturally inspires us to invoke the scalarization techniques in vector optimization problems to evaluate the multiobjective programming problems with fuzzy coefficients. Two solution concepts are proposed in this paper by considering different convex cones. [Copyright &y& Elsevier]
- Subjects :
- *MATHEMATICAL optimization
*MATHEMATICS
*MAXIMA & minima
*OPERATIONS research
Subjects
Details
- Language :
- English
- ISSN :
- 08957177
- Volume :
- 48
- Issue :
- 1/2
- Database :
- Academic Search Index
- Journal :
- Mathematical & Computer Modelling
- Publication Type :
- Academic Journal
- Accession number :
- 32074573
- Full Text :
- https://doi.org/10.1016/j.mcm.2007.08.011