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On the relationship between some extensions of fuzzy set theory

Glad Deschrijver (UGent) and Etienne Kerre (UGent)
(2003) Fuzzy Sets and Systems. 133(2). p.227-235
Author
Organization
Abstract
Since Zadeh introduced fuzzy sets in 1965, a lot of new theories treating imprecision and uncertainty have been introduced. Some of these theories are extensions of fuzzy set theory, others try to handle imprecision and uncertainty in a different (better?) way. Kerre (Computational Intelligence in Theory and Practice, Physica-Verlag, Heidelberg, 2001, pp. 55-72) has given a summary of the links that exist between fuzzy sets and other mathematical models such as flou sets (Gentilhomme), two-fold fuzzy sets (Dubois and Prade) and L-fuzzy sets (Goguen). In this paper, we establish the relationships between intuitionistic fuzzy sets (Atanassov), L-fuzzy sets (Goguen), interval-valued fuzzy sets (Sambuc), interval-valued intuitionistic fuzzy sets (Atanassov).
Keywords
interval valued fuzzy set, intuitionistic fuzzy set, interval valued intuitionistic fuzzy set, fuzzy set, relationship between models

Citation

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Chicago
Deschrijver, Glad, and Etienne Kerre. 2003. “On the Relationship Between Some Extensions of Fuzzy Set Theory.” Fuzzy Sets and Systems 133 (2): 227–235.
APA
Deschrijver, Glad, & Kerre, E. (2003). On the relationship between some extensions of fuzzy set theory. Fuzzy Sets and Systems, 133(2), 227–235.
Vancouver
1.
Deschrijver G, Kerre E. On the relationship between some extensions of fuzzy set theory. Fuzzy Sets and Systems. 2003;133(2):227–35.
MLA
Deschrijver, Glad, and Etienne Kerre. “On the Relationship Between Some Extensions of Fuzzy Set Theory.” Fuzzy Sets and Systems 133.2 (2003): 227–235. Print.
@article{208229,
  abstract     = {Since Zadeh introduced fuzzy sets in 1965, a lot of new theories treating imprecision and uncertainty have been introduced. Some of these theories are extensions of fuzzy set theory, others try to handle imprecision and uncertainty in a different (better?) way. Kerre (Computational Intelligence in Theory and Practice, Physica-Verlag, Heidelberg, 2001, pp. 55-72) has given a summary of the links that exist between fuzzy sets and other mathematical models such as flou sets (Gentilhomme), two-fold fuzzy sets (Dubois and Prade) and L-fuzzy sets (Goguen). In this paper, we establish the relationships between intuitionistic fuzzy sets (Atanassov), L-fuzzy sets (Goguen), interval-valued fuzzy sets (Sambuc), interval-valued intuitionistic fuzzy sets (Atanassov).},
  author       = {Deschrijver, Glad and Kerre, Etienne},
  issn         = {0165-0114},
  journal      = {Fuzzy Sets and Systems},
  keyword      = {interval valued fuzzy set,intuitionistic fuzzy set,interval valued intuitionistic fuzzy set,fuzzy set,relationship between models},
  language     = {eng},
  number       = {2},
  pages        = {227--235},
  title        = {On the relationship between some extensions of fuzzy set theory},
  volume       = {133},
  year         = {2003},
}

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