1. bookVolume 6 (2016): Issue 4 (October 2016)
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30 Dec 2014
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English
access type Open Access

Minkowski’s Inequality Based Sensitivity Analysis of Fuzzy Signatures

Published Online: 10 Aug 2016
Page range: 219 - 229
Journal Details
License
Format
Journal
First Published
30 Dec 2014
Publication timeframe
4 times per year
Languages
English

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.

Keywords

[1] K. W. Wong, T. D. Gedeon, L. T. Kóczy, Construction of fuzzy signature from data: an example of SARS pre-clinical diagnosis system, in: Proceedings of the IEEE International Conference on Fuzzy Systems (FUZZ-IEEE2004), Budapest, Hungary, 2004, pp.1649-1654.Search in Google Scholar

[2] Á. Ballagi, L. T. Kóczy, T. D. Gedeon, Robot cooperation without explicit communication by fuzzy signatures and decision trees, in: Proceedings of theJoint 2009 International Fuzzy Systems Association World Congress and 2009 European Society of Fuzzy Logic and Technology Conference (IFSA-EUSFLAT2009), Lisbon, Portugal, 2009, pp.1468-1473.Search in Google Scholar

[3] T. Vámos, L. T. Kóczy , G. Biró, Fuzzy signatures in datamining, in: Proceedings of the Joint 9th IFSA World Congress and 20th NAFIPS International Conference, Vancouver, BC, Canada, 2001, pp. 2842-2846 (5).Search in Google Scholar

[4] G. Molnárka, L. T. Kóczy, Decision Support System for Evaluating Existing Apartment Buildings Based on Fuzzy Signatures, Int. J. of Computers , Communications & Control, 2011, No. 3, pp. 442-457.Search in Google Scholar

[5] C. Pozna, N. Minculete, R. E. Precup, L. T. Kóczy, Á. Ballagi, Signatures: Definitions, operators and applications to fuzzy modelling, Fuzzy Sets and Systems 201 (2012), pp. 86-104.Search in Google Scholar

[6] L. T. Kóczy, T. Vámos, G. Biró, Fuzzy signatures, in: Proceedings of the 4th Meeting of the Euro Working Group on Fuzzy Sets and the 2nd International Conference on Soft and Intelligent Computing (EUROPUSE-SIC99), Budapest, Hungary, 1999, pp. 210-217.Search in Google Scholar

[7] J.A.Goguen, L-fuzzy sets, J. Math. Anal. Appl. 18(1) (1967), pp. 145-174.Search in Google Scholar

[8] I. Á. Harmati, Á. Bukovics, L. T. Kóczy, Sensitivity Analysis of the Weighted Generalized Mean Aggregation Operator and its Application to Fuzzy Signatures, IEEE World Congress on Computational Intelligence (WCCI 2014 - FUZZ-IEEE 2014). Peking, Kna, 2014.07.06-2014.07.11. New York: IEEE, 2014. pp. 1327-1332.Search in Google Scholar

[9] U. Kaymak, H.R. van Nauta Lemke, T. Boer: A sensitivity-based analysis of weighted fuzzy aggregation, In: Proceedings of the IEEE World Congress on Computational Intelligence, IEEE International Conference on Fuzzy Systems, IEEE, 1998. pp. 755-760.Search in Google Scholar

[10] V. Torra: Sensitivity analysis for WOWA, OWA and WM operators, In: Proceedings of ISIE 2001, IEEE International Symposium on Industrial Electronics, IEEE, 2001. pp. 134-137.Search in Google Scholar

[11] M. Zarghami, F. Szidarovszky: Fuzzy quantifiers in sensitivity analysis of OWA operator, Computers & Industrial Engineering 54 (2008), pp. 1006-1018.Search in Google Scholar

[12] G. H. Hardy, J. E. Littlewood, G. Pólya: Inequalities, Cambridge University Press, 1952.Search in Google Scholar

[13] P. S. Bullen: Handbook of means and their inequalities, Kluwer Academic Publishers, 2003.Search in Google Scholar

[14] G. H. Golub, C. F. van Loane: Matrix computations, John Hopkins University Press, 1996.Search in Google Scholar

[15] Á. Bukovics, L.T. Kóczy, Fuzzy Signature-based Model for Qualification and Ranking of Residential Buildings, XXXVIII. IAHSWorld Congress on Housing, Istanbul, Turkey, 2012. pp. 290-297Search in Google Scholar

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