Abstract
In [10,12], a new concept of interval and fuzzy linear equations solving based on the generalized procedure of interval extension called “interval extended zero” method has been proposed. The central for this approach is the treatment of “interval zero” as an interval centered around 0. It is shown that such proposition is not of heuristic nature, but is a direct consequence of interval subtraction operation. It is shown that the resulting solution of interval linear equation based on the proposed method may be naturally treated as a fuzzy number. In the current report, the method is extended to the case of nonlinear interval equations. It is shown that opposite to the known methods, a new approach makes it possible to get both the positive and negative solutions of quadratic interval equation.
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Dymova, L. (2010). Fuzzy Solution of Interval Nonlinear Equations. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Wasniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2009. Lecture Notes in Computer Science, vol 6068. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14403-5_44
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DOI: https://doi.org/10.1007/978-3-642-14403-5_44
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