On the sensitivity of type-2 fuzzy signatures and the generalizations of the extension principle

István A. Harmati, L. Kóczy

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

When the exact mathematical model is not known or too difficult to handle, fuzzy signatures are useful tools in modeling and analysis of complex systems. In these cases the input values naturally have uncertainties, due to lack of knowledge or human activities. These built-in uncertainties influence the final decision about the system. In this paper we deal with the issue when the input parameters are not crisp values, but nonnegative fuzzy numbers, so we discuss the sensitivity of type-2 fuzzy signatures which are equipped with the weighted general mean as aggregation operator. The uncertainty of the result depends on the applied extension of real function to fuzzy numbers, so we discuss the case of Zadeh's extension principle, t-norm based extension and joint possibility distribution based extension of real functions, too.

Original languageEnglish
Title of host publication2016 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1301-1307
Number of pages7
ISBN (Electronic)9781509006250
DOIs
Publication statusPublished - Nov 7 2016
Event2016 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2016 - Vancouver, Canada
Duration: Jul 24 2016Jul 29 2016

Other

Other2016 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2016
CountryCanada
CityVancouver
Period7/24/167/29/16

Fingerprint

Extension Principle
Signature
Fuzzy numbers
Uncertainty
Possibility Distribution
Aggregation Operators
T-norm
Joint Distribution
Large scale systems
Complex Systems
Agglomeration
Non-negative
Mathematical Model
Mathematical models
Modeling
Generalization

ASJC Scopus subject areas

  • Control and Optimization
  • Logic
  • Modelling and Simulation

Cite this

Harmati, I. A., & Kóczy, L. (2016). On the sensitivity of type-2 fuzzy signatures and the generalizations of the extension principle. In 2016 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2016 (pp. 1301-1307). [07737839] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/FUZZ-IEEE.2016.7737839

On the sensitivity of type-2 fuzzy signatures and the generalizations of the extension principle. / Harmati, István A.; Kóczy, L.

2016 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2016. Institute of Electrical and Electronics Engineers Inc., 2016. p. 1301-1307 07737839.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Harmati, IA & Kóczy, L 2016, On the sensitivity of type-2 fuzzy signatures and the generalizations of the extension principle. in 2016 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2016., 07737839, Institute of Electrical and Electronics Engineers Inc., pp. 1301-1307, 2016 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2016, Vancouver, Canada, 7/24/16. https://doi.org/10.1109/FUZZ-IEEE.2016.7737839
Harmati IA, Kóczy L. On the sensitivity of type-2 fuzzy signatures and the generalizations of the extension principle. In 2016 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2016. Institute of Electrical and Electronics Engineers Inc. 2016. p. 1301-1307. 07737839 https://doi.org/10.1109/FUZZ-IEEE.2016.7737839
Harmati, István A. ; Kóczy, L. / On the sensitivity of type-2 fuzzy signatures and the generalizations of the extension principle. 2016 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2016. Institute of Electrical and Electronics Engineers Inc., 2016. pp. 1301-1307
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