Minkowski’s Inequality Based Sensitivity Analysis of Fuzzy Signatures

István Á. Harmati 1 , Ádám Bukovics 2  and László T. Kóczy 3
  • 1 Department of Mathematics and Computational Sciences Széchenyi István University, Egyetem tér 1, 9026 Győr, Hungary
  • 2 Department of Structural and Geotechnical Engineering Széchenyi István University, Egyetem tér 1, 9026 Győr, Hungary
  • 3 Department of Automation Széchenyi István University, Egyetem tér 1, 9026 Győr, Hungary Department of Telecommunications and Media Informatics Budapest University of Technology and Economics, Budapest, Hungary


Fuzzy signatures were introduced as special tools to describe and handle complex systems without their detailed mathematical models. The input parameters of these systems naturally have uncertainties, due to human activities or lack of precise data. These uncertainties influence the final conclusion or decision about the system. In this paper we discuss the sensitivity of the weigthed general mean aggregation operator to the uncertainty of the input values, then we analyse the sensitivity of fuzzy signatures equipped with these aggregation operators. Finally, we apply our results to a fuzzy signature used in civil enginnering.

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