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Generating Fuzzy Implications by Ordinal Sums Cover
By: Paweł Drygaś and  Anna Król  
Open Access
|Jan 2017

References

  1. [1] BACZYŃSKI, M.-JAYARAM, B.: Fuzzy Implications, in: Stud. Fuzziness Soft Comput., Vol. 231, Springer, Berlin, 2008.
  2. [2] DE BAETS, B.-MESIAR, R.: Residual implicators of continuous t-norms, in: Proc. of 4th European Congress on Intelligent Techniques and Soft Computing-EUFIT ’96 (H. J. Zimmermann, ed.), Vol. 1, Verlag Mainz, Aachen, Germany, 1996, pp. 27-31.
  3. [3] DRYGAŚ, P.-KRÓL, A.: Various kinds of ordinal sums of fuzzy implications, in: Novel Developments in Uncertainty Represent. and Processing, (K. T. Atanassov et al., eds.), Advances in Intelligent Systems and Computing, Vol. 401, Springer Internat. Publ. AG Switzerland, 2016, pp. 37-49.10.1007/978-3-319-26211-6_4
  4. [4] DURANTE, F.-KLEMENT, E. P.-MESIAR, R.-SEMPI, C.: Conjunctors and their residual implicators: characterizations and construction methods, Mediterr. J. Math. 4 (2007), 343-356.10.1007/s00009-007-0122-1
  5. [5] FODOR, J.-ROUBENS, M.: Fuzzy Preference Modelling and Multicriteria Decision Support, Kluwer Acad. Publ., Dordrecht, 1994.10.1007/978-94-017-1648-2
  6. [6] KLEMENT, E. P.-MESIAR, R.-PAP, E.: Triangular Norms, Kluwer Acad. Publ., Dordrecht, 2000.10.1007/978-94-015-9540-7
  7. [7] MESIAR, R.-MESIAROVA, A.: Residual implications and left-continuous t-norms which are ordinal sums of semigroups, Fuzzy Sets and Systems 143 (2004), 47-57.10.1016/j.fss.2003.06.008
  8. [8] SHI, Y.-VAN GASSE, B.-RUAN, D.-KERRE, E.: On dependencies and independencies of fuzzy implication axioms, Fuzzy Sets and Systems 161 (2010), 1388-1405.10.1016/j.fss.2009.12.003
  9. [9] SU, Y.-XIE, A.-LIU, H.: On ordinal sum implications, Inform. Sci. 293 (2015), 251-262. 10.1016/j.ins.2014.09.021
DOI: https://doi.org/10.1515/tmmp-2016-0018 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Language: English
Page range: 39 - 50
Submitted on: Jul 15, 2016
Published on: Jan 20, 2017
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2017 Paweł Drygaś, Anna Król, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.