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- Title
A new metric for L- R fuzzy numbers and its application in fuzzy linear systems.
- Authors
Allahviranloo, T.; Nuraei, R.; Ghanbari, M.; Haghi, E.; Hosseinzadeh, A.
- Abstract
In this paper, a metric based on modified Euclidean metric on interval numbers, for L- R fuzzy numbers with fixed $$L(\cdot)$$ and $$R(\cdot)$$ is introduced. Then, it is applied for solving L- R fuzzy linear system ( L- R-FLS) with fuzzy right-hand side, so that L- R-FLS is transformed to the minimization problem. The solution of the mentioned non-linear programming problem is our favorite fuzzy number vector solution. Two constructive Algorithms are proposed in detail and the method is illustrated by solving several numerical examples.
- Subjects
FUZZY numbers; LINEAR systems; EUCLIDEAN metric; INTERVAL analysis; NONLINEAR programming; COMPUTER algorithms
- Publication
Soft Computing - A Fusion of Foundations, Methodologies & Applications, 2012, Vol 16, Issue 10, p1743
- ISSN
1432-7643
- Publication type
Article
- DOI
10.1007/s00500-012-0858-9