Accès libre

Fundamental Properties of Fuzzy Implications

   | 02 mars 2019
À propos de cet article

Citez

[1] Michał Baczyński and Balasubramaniam Jayaram. Fuzzy Implications. Springer Publishing Company, Incorporated, 2008. doi:10.1007/978-3-540-69082-5.10.1007/978-3-540-69082-5Open DOISearch in Google Scholar

[2] Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, and Karol Pąk. The role of the Mizar Mathematical Library for interactive proof development in Mizar. Journal of Automated Reasoning, 61(1):9–32, 2018. doi:10.1007/s10817-017-9440-6.10.1007/s10817-017-9440-6Open DOISearch in Google Scholar

[3] Didier Dubois and Henri Prade. Fuzzy Sets and Systems: Theory and Applications. Academic Press, New York, 1980.Search in Google Scholar

[4] Adam Grabowski. Formal introduction to fuzzy implications. Formalized Mathematics, 25(3):241–248, 2017. doi:10.1515/forma-2017-0023.10.1515/forma-2017-0023Open DOISearch in Google Scholar

[5] Adam Grabowski. Basic formal properties of triangular norms and conorms. Formalized Mathematics, 25(2):93–100, 2017. doi:10.1515/forma-2017-0009.10.1515/forma-2017-0009Open DOISearch in Google Scholar

[6] Adam Grabowski. On the computer certification of fuzzy numbers. In M. Ganzha, L. Maciaszek, and M. Paprzycki, editors, 2013 Federated Conference on Computer Science and Information Systems (FedCSIS), Federated Conference on Computer Science and Information Systems, pages 51–54, 2013.Search in Google Scholar

[7] Adam Grabowski and Takashi Mitsuishi. Initial comparison of formal approaches to fuzzy and rough sets. In Leszek Rutkowski, Marcin Korytkowski, Rafal Scherer, Ryszard Tadeusiewicz, Lotfi A. Zadeh, and Jacek M. Zurada, editors, Artificial Intelligence and Soft Computing - 14th International Conference, ICAISC 2015, Zakopane, Poland, June 14-18, 2015, Proceedings, Part I, volume 9119 of Lecture Notes in Computer Science, pages 160–171. Springer, 2015. doi:10.1007/978-3-319-19324-3_15.10.1007/978-3-319-19324-3_15Open DOISearch in Google Scholar

[8] Adam Grabowski, Artur Korniłowicz, and Adam Naumowicz. Four decades of Mizar. Journal of Automated Reasoning, 55(3):191–198, 2015. doi:10.1007/s10817-015-9345-1.10.1007/s10817-015-9345-1Search in Google Scholar

[9] Petr Hájek. Metamathematics of Fuzzy Logic. Dordrecht: Kluwer, 1998.10.1007/978-94-011-5300-3Search in Google Scholar

[10] Takashi Mitsuishi, Noboru Endou, and Yasunari Shidama. The concept of fuzzy set and membership function and basic properties of fuzzy set operation. Formalized Mathematics, 9(2):351–356, 2001.Search in Google Scholar

[11] Yasunari Shidama. The Taylor expansions. Formalized Mathematics, 12(2):195–200, 2004.Search in Google Scholar

[12] Philippe Smets and Paul Magrez. Implication in fuzzy logic. International Journal of Approximate Reasoning, 1(4):327–347, 1987. doi:10.1016/0888-613X(87)90023-5.10.1016/0888-613X(87)90023-5Open DOISearch in Google Scholar

[13] Lotfi Zadeh. Fuzzy sets. Information and Control, 8(3):338–353, 1965. doi:10.1016/S0019-9958(65)90241-X.10.1016/S0019-9958(65)90241-XOpen DOISearch in Google Scholar

eISSN:
1898-9934
ISSN:
1426-2630
Langue:
Anglais
Périodicité:
Volume Open
Sujets de la revue:
Mathematics, General Mathematics, Computer Sciences, other