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  • Fuzzy algebra is de ned as the real unit interval equipped by two binary operations: maximum and minimum, which are used analogously as addition and multiplication in the classical linear algebra. Fuzzy algebra is used in applications such as fuzzy control systems, or stability of discrete event systems. Eigenvectors of a fuzzy matrix correspond to steady states of a given discrete-events system. The inverse eigenproblem is motivated by the task of nding all possible systems possessing a given steady state. In the contribution, the inverse problem is studied as a system of fuzzy equations, possibly with upper end lower bounds. Application of the inverse approach to ecient search in databases is presented.
  • Fuzzy algebra is de ned as the real unit interval equipped by two binary operations: maximum and minimum, which are used analogously as addition and multiplication in the classical linear algebra. Fuzzy algebra is used in applications such as fuzzy control systems, or stability of discrete event systems. Eigenvectors of a fuzzy matrix correspond to steady states of a given discrete-events system. The inverse eigenproblem is motivated by the task of nding all possible systems possessing a given steady state. In the contribution, the inverse problem is studied as a system of fuzzy equations, possibly with upper end lower bounds. Application of the inverse approach to ecient search in databases is presented. (en)
Title
  • Inverse fuzzy eigenproblem in databases
  • Inverse fuzzy eigenproblem in databases (en)
skos:prefLabel
  • Inverse fuzzy eigenproblem in databases
  • Inverse fuzzy eigenproblem in databases (en)
skos:notation
  • RIV/62690094:18450/13:50001781!RIV14-GA0-18450___
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  • P(EE2.3.20.0001), P(GA402/09/0405), S
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  • 81050
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  • RIV/62690094:18450/13:50001781
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  • database search; eigenproblem; max-min algebra; fuzzy algebra (en)
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  • [6FEC23E93A7A]
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  • Jihlava
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  • Jihlava
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  • Mathematical methods in economics 2013 : proceedings of the 31st international conference
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  • Gavalec, Martin
  • Tomášková, Hana
  • Bacovský, Martin
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number of pages
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  • Vysoká škola polytechnická
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  • 978-80-87035-76-4
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  • 18450
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