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

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

By: Peter Viceník  
Open Access
|Nov 2019

References

  1. [1] ALSINA, C.—FRANK, M. J.—SCHWEIZER, B.: Associative Functions: Triangular Norms and Copulas, World Scientific Publishing, Singapore, 2006.10.1142/9789812774200
  2. [2] KLEMENT, E. P.—MESIAR, R.—PAP, E.: Triangular Norms, Kluwer Academic Publishers, Dordrecht, 2000.10.1007/978-94-015-9540-7
  3. [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.
  4. [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.2007.903321
  5. [5] On some classes of discrete additive generators, Fuzzy Sets and Systems 246 (2015), 110–120.10.1016/j.fss.2014.09.020
  6. [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/B978-044451814-9/50007-0
  7. [7] VICENÍK, P.: Additive generators of associative functions, Fuzzy Sets and Systems 153 (2005), 137–160.10.1016/j.fss.2004.11.016
  8. [8] _______ Additive generators of border-continuous triangular norms, Fuzzy Sets and Systems 159 (2008), 1631–1645.10.1016/j.fss.2008.01.031
  9. [9] _______ On a class of generated triangular norms and their isomorphisms, Fuzzy Sets and Systems 161 (2010), 1448–1458.10.1016/j.fss.2010.01.001
  10. [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.2012.10.009
  11. [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.2018.11.009
DOI: https://doi.org/10.2478/tmmp-2019-0026 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Language: English
Page range: 159 - 176
Submitted on: Dec 3, 2018
Published on: Nov 15, 2019
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2019 Peter Viceník, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.