| Title of paper:
|
On the weak intuitionistic fuzzy implication based on △ operation
|
| Author(s):
|
| Lilija Atanassova
|
| Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 2, Sofia-1113, Bulgaria
|
| l.c.atanassova@gmail.com
|
| Piotr Dworniczak
|
| The Great Poland University of Social and Economics, ul. Surzyńskich 2, 63-000 Środa Wlkp., Poland
|
| p.dworniczak@wwsse.pl
|
|
| Published in:
|
Notes on Intuitionistic Fuzzy Sets, Volume 27 (2021), Number 2, pages 11–19
|
| DOI:
|
https://doi.org/10.7546/nifs.2021.27.2.11-19
|
| Download:
|
 PDF (803 Kb, File info)
|
| Abstract:
|
In this paper, a new weak intuitionistic fuzzy implication is introduced. Fulfillment of some axioms and properties, together with the Modus Ponens and Modus Tollens inference rules are investigated. Negation induced by the newly proposed implication is presented.
|
| Keywords:
|
Intuitionistic fuzzy sets, Intuitionistic fuzzy logic, Intuitionistic fuzzy implication.
|
| References:
|
- Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20 (1), 87–96.
- Atanassov, K. T. (1989). More on Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 33 (1), 37–45.
- De, S. K., Biswas, R., & Roy, A. R. (2001). An application of intuitionistic fuzzy sets in medical diagnosis. Fuzzy Sets and Systems, 117 (2), 209–213.
- Edward Samuel, A., & Narmadhagnanam, R. (2018). Intuitionistic Fuzzy Sets in Medical Diagnosis. International Journal of Mathematical Archive, 9 (1), 1–5.
- Ejegwa, P. A., Onoja, A. M., & Emmanuel, I. T. (2014). A Note on Some Models of Intuitionistic Fuzzy Sets in Real Life Situations. Journal of Global Research in Mathematical Archives, 2 (5), 42–50.
- Intarapaiboon, P. (2014). New Similarity Measures for Intuitionistic Fuzzy Sets. Applied Mathematical Sciences, 8 (45), 39–50.
- Szmidt, E., & Kacprzyk, J. (2002). An intuitionistic fuzzy set based approach to intelligent data analysis: an application to medical diagnosis. Recent Advances in Intelligent Paradigms and Applications (A. Abraham, L. Jain, J. Kacprzyk, Eds), Springer, Berlin, 57–70.
- Szmidt, E., & Kacprzyk, J. (2005). A similarity measure for intuitionistic fuzzy sets and its application in supporting medical diagnostic reasoning. Lecture Notes in Artificial Intelligence, Vol. 3070, Springer, Berlin, 388–393.
- Todorova, L., Atanassov, K., Hadjitodorov, S., & Vassilev, P. (2007). On an intuitionistic fuzzy approach for decision making in medicine: Part 1. Int. Journal Bioautomation, 6, 92–101.
- Todorova, L., Atanassov, K., Hadjitodorov, S., & Vassilev, P. (2007). On an intuitionistic fuzzy approach for decision making in medicine. Part 2. Int. Journal Bioautomation, 7, 64–69.
|
| 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.
|
|
