Otwarty dostęp

Strictly Increasing Additive Generators of the Second Kind of Associative Binary Operations

Tatra Mountains Mathematical Publications's Cover Image
Tatra Mountains Mathematical Publications
Real Functons, Ideals, Measurable Functions, Functional Equations

Zacytuj

[1] ALSINA, C.—FRANK, M. J.—SCHWEIZER, B.: Associative Functions: Triangular Norms and Copulas, World Scientific Publishing, Singapore, 2006.10.1142/9789812774200Search in Google Scholar

[2] KLEMENT, E. P.—MESIAR, R.—PAP, E.: Triangular Norms, Kluwer Academic Publishers, Dordrecht, 2000.10.1007/978-94-015-9540-7Search in Google Scholar

[3] MARTÍN, J.—MAYOR, G.—MONREAL, J.: The problem of the additive generation of finitely-valued t-conorms, Mathware and Soft Computing 16 (2009), 17–27.Search in Google Scholar

[4] MAYOR, G.—MONREAL, J.: Additive generators of discrete conjunctive aggregation operations.In: IEEE Transactions on Fuzzy Systems Vol. 15, no. 6, 2007, pp. 1046–1052.10.1109/TFUZZ.2007.903321Search in Google Scholar

[5] On some classes of discrete additive generators, Fuzzy Sets and Systems 246 (2015), 110–120.10.1016/j.fss.2014.09.020Search in Google Scholar

[6] MAYOR, G.—TORRENS, J.: Triangular norms on discrete settings,In: Logical, Algebraic, Analytic, and Probabilistic Aspects of Triangular Norms (E. P. Klement, R. Mesiar eds.), Elsevier, Amsterdam, 2005, pp. 189–230.10.1016/B978-044451814-9/50007-0Search in Google Scholar

[7] VICENÍK, P.: Additive generators of associative functions, Fuzzy Sets and Systems 153 (2005), 137–160.10.1016/j.fss.2004.11.016Search in Google Scholar

[8] _______ Additive generators of border-continuous triangular norms, Fuzzy Sets and Systems 159 (2008), 1631–1645.10.1016/j.fss.2008.01.031Search in Google Scholar

[9] _______ On a class of generated triangular norms and their isomorphisms, Fuzzy Sets and Systems 161 (2010), 1448–1458.10.1016/j.fss.2010.01.001Search in Google Scholar

[10] _______ On some algebraic and topological properties of generated border-continuous triangular norms, Fuzzy Sets and Systems 224 (2013), 1–22.10.1016/j.fss.2012.10.009Search in Google Scholar

[11] _______ The constructions of non-continuous additive generators of t-conorms based on discrete additive generators of discrete t-conorms.In: Fuzzy Sets and Systems 2018; https://doi.org/10.1016/j.fss.2018.11.00910.1016/j.fss.2018.11.009Open DOISearch in Google Scholar

eISSN:
1210-3195
Język:
Angielski
Częstotliwość wydawania:
3 razy w roku
Dziedziny czasopisma:
Mathematics, General Mathematics