Open Access

On Some Properties of Aggregation-Based Extensions of Fuzzy Measures


Cite

[1] GRABISCH, M.: k-order additive discrete fuzzy measures and their representation, Fuzzy Sets and Systems 92 (1997), 167–189.10.1016/S0165-0114(97)00168-1Search in Google Scholar

[2] GRABISCH, M.—MARICHAL, J.-L.—MESIAR, R.—PAP, E.: Aggregation Functions. Cambridge University Press, Cambridge, 2009.10.1017/CBO9781139644150Search in Google Scholar

[3] KOLESÁROVÁ, A.—LI, J.—MESIAR, R.: k-additive aggregation functions and their characterization, European J. Oper. Res. 265 (2018), 985–992.10.1016/j.ejor.2017.08.036Search in Google Scholar

[4] KOLESÁROVÁ, A.—STUPŇANOVÁ, A.—BEGANOVÁ, J.: Aggregation-based extensions of fuzzy measures, Fuzzy Sets and Systems 194 (2012), 1–14.10.1016/j.fss.2011.11.003Search in Google Scholar

[5] LOVÁSZ, L.: Submodular function and convexity. In: Mathematical Programming: The State of the Art, 11th Int. Symp., Bonn, 1982 (A. Bachem et al., eds.), Springer, Berlin, 1983, pp. 235–257.10.1007/978-3-642-68874-4_10Search in Google Scholar

[6] NELSEN, R. B.: An Introduction to Copulas. In: Lecture Notes in Statist., Vol. 139, Springer-Verlag, New York, 1999.10.1007/978-1-4757-3076-0Search in Google Scholar

[7] OWEN, G.: Multilinear extensions of games, In: The Shapley Value (A. E. Roth, ed.), Essays in Honour of Lloyd S. Shapley, Cambridge University Press, 1988, pp. 139–151.10.1017/CBO9780511528446.011Search in Google Scholar

[8] SPIZZICHINO, F. L.: On the probabilistic meaning of copula-based extensions of fuzzy measures. Applications to target-based utilities and multi-state reliability systems, Fuzzy Sets and Systems 354 (2019), 1–19.10.1016/j.fss.2018.01.011Search in Google Scholar

[9] WANG, Z.—KLIR, G. J.: Fuzzy Measure Theory. Plenum Press, New York, 1992.10.1007/978-1-4757-5303-5Search in Google Scholar

eISSN:
1210-3195
Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics