On the relationship between intuitionistic fuzzy sets and some other extensions of fuzzy set theory
- Author
- Glad Deschrijver (UGent) and Etienne Kerre (UGent)
- Organization
- Abstract
- In a previous paper we presented the relationship between intuitionistic fuzzy sets (Atanassov) and some other extensions of fuzzy set theory, such as L-fuzzy sets (Goguen), interval valued fuzzy sets (Sambuc), interval valued intuitionistic fuzzy sets (Atanassov). In this paper we will continue this work and investigate the interrelationship between intuitionistic fuzzy sets, rough sets (Pawlak), fuzzy rough sets (Dubois and Prade, Nanda and Majumdar), rough fuzzy sets (Dubois and Prade), probabilistic sets (Hirota), L-fuzzy sets, soft sets (Basu, Deb and Pattanaik) and type 2 fuzzy sets (Zadeh).
- Keywords
- links between different models, L-fuzzy set, interval valued fuzzy set, intuitionistic fuzzy set, probabilistic set, soft set, rough fuzzy set, rough set, type 2 fuzzy set, fuzzy rough set
Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-161875
- MLA
- Deschrijver, Glad, and Etienne Kerre. “On the Relationship between Intuitionistic Fuzzy Sets and Some Other Extensions of Fuzzy Set Theory.” Journal of Fuzzy Mathematics, vol. 10, no. 3, 2002, pp. 711–25.
- APA
- Deschrijver, G., & Kerre, E. (2002). On the relationship between intuitionistic fuzzy sets and some other extensions of fuzzy set theory. Journal of Fuzzy Mathematics, 10(3), 711–725.
- Chicago author-date
- Deschrijver, Glad, and Etienne Kerre. 2002. “On the Relationship between Intuitionistic Fuzzy Sets and Some Other Extensions of Fuzzy Set Theory.” Journal of Fuzzy Mathematics 10 (3): 711–25.
- Chicago author-date (all authors)
- Deschrijver, Glad, and Etienne Kerre. 2002. “On the Relationship between Intuitionistic Fuzzy Sets and Some Other Extensions of Fuzzy Set Theory.” Journal of Fuzzy Mathematics 10 (3): 711–725.
- Vancouver
- 1.Deschrijver G, Kerre E. On the relationship between intuitionistic fuzzy sets and some other extensions of fuzzy set theory. Journal of Fuzzy Mathematics. 2002;10(3):711–25.
- IEEE
- [1]G. Deschrijver and E. Kerre, “On the relationship between intuitionistic fuzzy sets and some other extensions of fuzzy set theory,” Journal of Fuzzy Mathematics, vol. 10, no. 3, pp. 711–725, 2002.
@article{161875, abstract = {{In a previous paper we presented the relationship between intuitionistic fuzzy sets (Atanassov) and some other extensions of fuzzy set theory, such as L-fuzzy sets (Goguen), interval valued fuzzy sets (Sambuc), interval valued intuitionistic fuzzy sets (Atanassov). In this paper we will continue this work and investigate the interrelationship between intuitionistic fuzzy sets, rough sets (Pawlak), fuzzy rough sets (Dubois and Prade, Nanda and Majumdar), rough fuzzy sets (Dubois and Prade), probabilistic sets (Hirota), L-fuzzy sets, soft sets (Basu, Deb and Pattanaik) and type 2 fuzzy sets (Zadeh).}}, author = {{Deschrijver, Glad and Kerre, Etienne}}, issn = {{1066-8950}}, journal = {{Journal of Fuzzy Mathematics}}, keywords = {{links between different models,L-fuzzy set,interval valued fuzzy set,intuitionistic fuzzy set,probabilistic set,soft set,rough fuzzy set,rough set,type 2 fuzzy set,fuzzy rough set}}, language = {{eng}}, number = {{3}}, pages = {{711--725}}, title = {{On the relationship between intuitionistic fuzzy sets and some other extensions of fuzzy set theory}}, volume = {{10}}, year = {{2002}}, }