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Abstract
In this paper, we review the definition and basic properties of the different types of fuzzy sets that have appeared up to now in the literature. We also analyze the relationships between them and enumerate some of the applications in which they have been used.
Keywords
fuzzy multiset, fuzzy rough set, bipolar-valued fuzzy set, Atanassov intuitionistic fuzzy set, fuzzy soft set, hesitant fuzzy set, interval-valued fuzzy set, interval type-2 fuzzy sets, interval-valued Atanassov intuitionistic fuzzy set, multipolarvalued fuzzy set, neutrosophic set, set-valued fuzzy set, type-2 fuzzy set, GROUP DECISION-MAKING, LINGUISTIC TERM SETS, OF-THE-ART, INTERVAL TYPE-2, AGGREGATION OPERATORS, LOGIC SYSTEMS, PREFERENCE RELATIONS, SIMILARITY MEASURES, ROUGH SETS, TERMINOLOGICAL DIFFICULTIES

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Citation

Please use this url to cite or link to this publication:

MLA
Bustince, Humberto et al. “A Historical Account of Types of Fuzzy Sets and Their Relationships.” IEEE TRANSACTIONS ON FUZZY SYSTEMS 24.1 (2016): 179–194. Print.
APA
Bustince, H., Barrenechea, E., Pagola, M., Fernandez, J., Xu, Z., Bedregal, B., Montero, J., et al. (2016). A historical account of types of fuzzy sets and their relationships. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 24(1), 179–194.
Chicago author-date
Bustince, Humberto, Edurne Barrenechea, Miguel Pagola, Javier Fernandez, Zeshui Xu, Benjamin Bedregal, Javier Montero, Hani Hagras, Francisco Herrera, and Bernard De Baets. 2016. “A Historical Account of Types of Fuzzy Sets and Their Relationships.” Ieee Transactions on Fuzzy Systems 24 (1): 179–194.
Chicago author-date (all authors)
Bustince, Humberto, Edurne Barrenechea, Miguel Pagola, Javier Fernandez, Zeshui Xu, Benjamin Bedregal, Javier Montero, Hani Hagras, Francisco Herrera, and Bernard De Baets. 2016. “A Historical Account of Types of Fuzzy Sets and Their Relationships.” Ieee Transactions on Fuzzy Systems 24 (1): 179–194.
Vancouver
1.
Bustince H, Barrenechea E, Pagola M, Fernandez J, Xu Z, Bedregal B, et al. A historical account of types of fuzzy sets and their relationships. IEEE TRANSACTIONS ON FUZZY SYSTEMS. 2016;24(1):179–94.
IEEE
[1]
H. Bustince et al., “A historical account of types of fuzzy sets and their relationships,” IEEE TRANSACTIONS ON FUZZY SYSTEMS, vol. 24, no. 1, pp. 179–194, 2016.
@article{7167151,
  abstract     = {In this paper, we review the definition and basic properties of the different types of fuzzy sets that have appeared up to now in the literature. We also analyze the relationships between them and enumerate some of the applications in which they have been used.},
  author       = {Bustince, Humberto and Barrenechea, Edurne and Pagola, Miguel and Fernandez, Javier and Xu, Zeshui and Bedregal, Benjamin and Montero, Javier and Hagras, Hani and Herrera, Francisco and De Baets, Bernard},
  issn         = {1063-6706},
  journal      = {IEEE TRANSACTIONS ON FUZZY SYSTEMS},
  keywords     = {fuzzy multiset,fuzzy rough set,bipolar-valued fuzzy set,Atanassov intuitionistic fuzzy set,fuzzy soft set,hesitant fuzzy set,interval-valued fuzzy set,interval type-2 fuzzy sets,interval-valued Atanassov intuitionistic fuzzy set,multipolarvalued fuzzy set,neutrosophic set,set-valued fuzzy set,type-2 fuzzy set,GROUP DECISION-MAKING,LINGUISTIC TERM SETS,OF-THE-ART,INTERVAL TYPE-2,AGGREGATION OPERATORS,LOGIC SYSTEMS,PREFERENCE RELATIONS,SIMILARITY MEASURES,ROUGH SETS,TERMINOLOGICAL DIFFICULTIES},
  language     = {eng},
  number       = {1},
  pages        = {179--194},
  title        = {A historical account of types of fuzzy sets and their relationships},
  url          = {http://dx.doi.org/10.1109/TFUZZ.2015.2451692},
  volume       = {24},
  year         = {2016},
}

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