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Optimization of Linear Objective Function under Fuzzy Equation Constraint in BL − Algebras – Theory, Algorithm and Software

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Intelligent Systems: From Theory to Practice

Part of the book series: Studies in Computational Intelligence ((SCI,volume 299))

Abstract

We study optimization problem with linear objective function subject to fuzzy linear system of equations as constraint, when the composition is in f − − →in BL - algebra. The algorithm for solving fuzzy linear system of equations is provided by algebraic-logical properties of the solutions. We present algorithms for computing the extremal solutions of fuzzy linear system of equations and implement the results for solving the linear optimization problem.

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Peeva, K., Petrov, D. (2010). Optimization of Linear Objective Function under Fuzzy Equation Constraint in BL − Algebras – Theory, Algorithm and Software. In: Sgurev, V., Hadjiski, M., Kacprzyk, J. (eds) Intelligent Systems: From Theory to Practice. Studies in Computational Intelligence, vol 299. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13428-9_20

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  • DOI: https://doi.org/10.1007/978-3-642-13428-9_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13427-2

  • Online ISBN: 978-3-642-13428-9

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