| Title of paper:
|
Intuitionistic fuzzy measures and intuitionistic entropies
|
| Author(s):
|
| Adrian Ban
|
| Department of Mathematics, University of Oradea, Str. Armatei Romane 5, 3700 Oradea, Romania
|
|
|
|
| Published in:
|
"Notes on IFS", Volume 4 (1998) Number 4, pages 48—58
|
| Download:
|
 PDF (3475 Kb, Info)
|
| Abstract:
|
With the help of an abstract integral we first give a family of intuitionistic entropies introduced by Burillo and Bustince in [4]. Second we prove that certain intuitionistic entropies are intuitionistic fuzzy measures.
|
| Keywords:
|
Intuitionistic entropy, intuitionistic norm function, triangular norm, intuitionistic measure.
|
| References:
|
- Atanassov, K. T., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1986), 87-96.
- Ban, A.I., The convergence of a sequence of intuitionistic fuzzy sets and intuitionistic (fuzzy) measure, submitted to Notes on Intuitionistic Fuzzy Sets.
- Burillo, P., Bustince, H., Issue:Two operators on interval-valued intuitionistic fuzzy sets: Part II, Comptes rendus de 1 'Academic bulgare de Sciences, Tome 48, No 1, 1995, 17-20.
- Burillo, P., Bustince, H., Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets, Fuzzy Sets and Systems 78(1996), 305-316.
- Bustince, H., Burillo, P., Correlation of interval intuitionistic fuzzy sets. Fuzzy Sets and Systems 74(1995), 237-244.
- Butnariu, D., Klement, E. P., Triangular norm based measures and their Markov kernel representation, J. Math. Anal. Appl. 162(1991), 111-143.
- Butnariu, D., Klement, E. P., Triangular norm- Based Measures and Games with Fuzzy Coaltions, Kluwer, Dordrecht, 1993.
- Halmos, P. R., Measure Theory, Van Nostrand, Princeton, New York, 1950.
- Klement, E. P., Characterization of fuzzy measures constructed by means of triangular norms, J. Math. Anal. Appl. 86(1982), 345-358.
- Knopfmacher, J., On measures of fuzziness, J. Math. Anal. Appl. 49(1975), 529-534.
|
| 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.
|
|
