Abstract
In this paper, a system of fuzzy polynomial equations is studied. Two solution types are defined for this system, called solution and \(r\)-cut solution. Then sufficient and necessary conditions are proposed for existence of solution and \(r\)-cut solution of the system, respectively. The solution set of the system is also determined. Moreover, a new algorithm is designed to find all the solutions and all the \(r\)-cut solutions of the system based on the eigenvalue method. Finally, some examples are given to illustrate the concepts and the algorithm.
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Communicated by V. Loia.
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Farahani, H., Rahmany, S., Basiri, A. et al. Resolution of a system of fuzzy polynomial equations using eigenvalue method. Soft Comput 19, 283–291 (2015). https://doi.org/10.1007/s00500-014-1249-1
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DOI: https://doi.org/10.1007/s00500-014-1249-1