| Title of paper:
|
On Lagrange mean value theorem for functions on Atanassov IF-sets
|
| Author(s):
|
| Beloslav Riečan
|
Faculty of Natural Sciences, Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica
Mathematical Institute of Slovak Acad. of Sciences, Štefánikova 49, SK-81473 Bratislava
|
| riecan@mat.savba.sk , riecan@fpv.umb.sk
|
|
| Presented at:
|
8th IWIFS, Sofia, 9 October 2012
|
| Published in:
|
"Notes on Intuitionistic Fuzzy Sets", Volume 18 (2012) Number 4, pages 8—11
|
| Download:
|
 PDF (123 Kb, File info)
|
| Abstract:
|
On the family of IF sets [1] some elementary functions has been studied in [2, 3] as well as limit and continuity [4, 5]. In the present article we define derivation and with respect to the notion the Lagrange mean value theorem is formulated and proved.
|
| Keywords:
|
Intuitionistic fuzzy set, Lagrange mean value theorem.
|
| AMS Classification:
|
03E72
|
| References:
|
- Atanassov, K., Intuitionistic Fuzzy Sets: Theory and Applications, Springer, Heidelberg, 1999.
- Bartková, R., Cyclometric functions on IFS (manuscript).
- Hollá, I., On exponential and logarithmic functions on IF sets. Notes on Intuitionistic Fuzzy Sets, Vol. 13, 2007, No. 2, 39–41.
- Michalíková, A., Absolute value and limit of the function defined on IF sets, Notes on Intuitionistic Fuzzy Sets, Vol. 18, 2012, No. 3, 8–15.
- Michalíková, A., Some notes about boundaries on IF sets (manuscript).
- Riečan, B., Probability theory and random variables on IF-events. In: Algebraic and Proof theoretic Aspects of Non-classical Logic (S. Aguzzoli et al. eds.). Papers in honour of Daniele Mundici's 60th birthday. Lecture Notes in Computer Science, Springer, Berlin, 2007, 290–308.
- Atanassov, K. T., On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
- Klir, G. and Bo Yuan, Fuzzy Sets and Fuzzy Logic, Prentice Hall, New Jersey, 1995.
|
| 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.
|
|
