Issue:Properties of Fodor’s intuitionistic fuzzy implication and negation

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http://ifigenia.org/wiki/issue:nifs/21/4/6-12

Title of paper: Properties of Fodor's intuitionistic fuzzy implication and negation Author(s): Eulalia Szmidt Systems Research Institute - Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland szmidt@ibspan.waw.pl Janusz Kacprzyk Systems Research Institute - Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland kacprzyk@ibspan.waw.pl Krassimir Atanassov Bioinformatics and Mathematical Modelling Department, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., Sofia 1113, Bulgaria Intelligent Systems Laboratory, Prof. Asen Zlatarov University, Bourgas–8000, Bulgaria krat@bas.bg Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 21, 2015, Number 4, pages 6–12 Download:  PDF (128  Kb, File info) Abstract: Some basic properties of Fodor's intuitionistic fuzzy implication and negation are formulated and checked Keywords: Implication, Intuitionistic fuzzy logic, Intuitionistic logic, Negation. AMS Classification: 03E72 References: Atanassov, K. T. (1988) Two Variants of Intuitionistic Fuzzy Propositional Calculus, Mathematical Foundations of Artificial Intelligence Seminar, Sofia, Preprint IM-MFAIS-5-88. Reprinted: Int. J. Bioautomation, Vol. 19, 2015, Suppl. 2, S146–S155. Atanassov, K. (1999) Intuitionistic Fuzzy Sets. Springer, Heidelberg. Atanassov, K. (2006) On intuitionistic fuzzy negations and De Morgan Laws. Proc. of Eleventh International Conf. IPMU 2006, Paris, July 2–7, 2399–2404. Atanassov, K. (2012) On Intuitionistic Fuzzy Sets, Springer, Berlin. Atanassov, K., E. Szmidt, & J. Kacprzyk (2013) On intuitionistic fuzzy pairs, Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13. Atanassov, K., E. Szmidt, & J. Kacprzyk (2015) On Fodors type of intuitionistic fuzzy implication and negation, Notes on Intuitionistic Fuzzy Sets, 21(2), 25–34. Fodor, J., & R. Roubens (1994) Fuzzy Preference Modelling and Multicriteria Decision Support, Springer. Klir, G. & B. Yuan (1995) Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey. Rasiowa H., & R. Sikorski (1963) The Mathematics of Metamathematics, Polska Akademia Nauk, Warszawa. Tabakov, M. (1986) Logics and Axiomatics, Nauka i Izkustvo, Sofia (in Bulgarian). Implications over intuitionistic fuzzy sets. Ifigenia.net. Available at: http://www.ifigenia.org/wiki/IF_implications Negations over intuitionistic fuzzy sets. Ifigenia.net. Available at: http://www.ifigenia.org/wiki/IF_negations Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.