| Title of paper:
|
On a hesitancy margin and a probability of intuitionistic fuzzy events
|
| Author(s):
|
| Tadeusz Gerstenkorn
|
| Lodz University, Faculty of Mathematics, ul. Banacha 22, PL 90-238 Lodz, Poland
|
| tadger@math.uni.lodz.pl
|
| Jacek Mańko
|
| Lodz University, Faculty of Mathematics, ul. Banacha 22, PL 90-238 Lodz, Poland
|
|
|
|
| Published in:
|
"Notes on Intuitionistic Fuzzy Sets", Volume 7 (2001), Number 1, pages 4-9
|
| Download:
|
 PDF (166 Kb, File info)
|
| Abstract:
|
K. Atanassov's idea of an intuitionistic fuzzy set aimed at improving a formal description of phenomena diverse in meaning in relation to L. A. Zadeh's original conception of a fuzzy set. In the definition of an intuitionistic fuzzy set there appears a neglected element, the so-called intuitionistic fuzzy index (hesitancy margin), being a factor introducing traces of intuition to K. Atanassov's idea. In the present paper, this factor is included in the concept of a probability of intuitionistic fuzzy events.
|
| Keywords:
|
Fuzzy sets, Intuitionistic fuzzy sets, Set relations and operations, Probability, Fuzzy event, Intuitionistic fuzzy event, Probability of fuzzy events and of intuitionistic fuzzy events
|
| References:
|
- K. Atanassov, Intuitionistic fuzzy sets, VII ITKR's Session, Sofia, June 1983 (deposed in Central Sci.-Techn. Library of Bulg. Acad. of Sci. 1697184 (in Bulgarian)).
- K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 1986, p. 87-96.
- K. Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications, Springer Verlag, 1999.
- T. Gerstenkorn, J. Mańko, Bifuzzy probability of intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, Volume 4 (1998], Number 1, p. 8-14.
- T. Gerstenkorn, J. Mańko, Randomness in the bifuzzy set theory, CASYS, Intern. J. of Computing Anticipatory Systems, Ed. by Danel M. Dubois, Univ. Liège, Belgium. Partial Proc. of CASYS'99 - Third Intern. Conf. on Computing Anticipatory Systems, HEC-Liège, Belgium, August 9-14, 1999, Vol. 7, p. 89-97.
- T. Gerstenkorn, J. Mańko, Remarks on the classical probability of bifuzzy events, CASYS, Intern. J. of Computing Anticipatory Systems, Ed. by Danel M. Dubois, Univ. Liège, Belgium. Proc. of CASYS'2000 - Fourth Intern. Conf. on Computing Anticipatory Systems, HEC-Liège, Belgium, August 7-12, 2000.
- A. de Luca, S. Termini, A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory, Inform. Control 20, 1972, p. 301-312.
- E. Szmidt, J. Kacprzyk, Intuitionistic fuzzy events and their probabilities, "Notes on Intuitionistic Fuzzy Sets", Volume 4 (1998) Number 4, p. 68-72.
- L. A. Zadeh, Fuzzy Sets, Inform. Control 8, 1965, p. 338-353.
- L. A. Zadeh, Probability measure of fuzzy events, J. Math. Anal. Appl. 23, 1968, p. 421-427.
|
| 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.
|
|
