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Multi-objective optimization with a max--norm fuzzy relational equation constraint
- Source :
-
Computers & Mathematics with Applications . Mar2011, Vol. 61 Issue 6, p1559-1566. 8p. - Publication Year :
- 2011
-
Abstract
- Abstract: In this paper, we consider minimizing multiple linear objective functions under a max--norm fuzzy relational equation constraint. Since the feasible domain of a max–Archimedean -norm relational equation constraint is generally nonconvex, traditional mathematical programming techniques may have difficulty in yielding efficient solutions for such problems. In this paper, we apply the two-phase approach, utilizing the min operator and the average operator to aggregate those objectives, to yield an efficient solution. A numerical example is provided to illustrate the procedure. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 61
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 59194214
- Full Text :
- https://doi.org/10.1016/j.camwa.2011.01.023