The DOI matches its Crossref record; 27 of the 27 references it cites were found in a registry or an index.
Dual Hesitant Fuzzy Sets
Open accessAbstract
In recent decades, several types of sets, such as fuzzy sets, interval‐valued fuzzy sets, intuitionistic fuzzy sets, interval‐valued intuitionistic fuzzy sets, type 2 fuzzy sets, type n fuzzy sets, and hesitant fuzzy sets, have been introduced and investigated widely. In this paper, we propose dual hesitant fuzzy sets (DHFSs), which encompass fuzzy sets, intuitionistic fuzzy sets, hesitant fuzzy sets, and fuzzy multisets as special cases. Then we investigate the basic operations and properties of DHFSs. We also discuss the relationships among the sets mentioned above, use a notion of nested interval to reflect their common ground, then propose an extension principle of DHFSs. Additionally, we give an example to illustrate the application of DHFSs in group forecasting.
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Cites
Zadeh, L. A. (1996) · Cited by 46,844
Atanassov, K. T. (1986) · Fuzzy Sets and Systems · doi:10.1016/s0165-0114(86)80034-3 · Cited by 16,465
The Concept of a Linguistic Variable and Its Application to Approximate Reasoning—I
Zadeh, L. A. (1975) · Information Sciences · doi:10.1016/0020-0255(75)90036-5 · Cited by 12,187
The concept of a linguistic variable and its application to approximate reasoning-III
Zadeh, L. A. (1975) · Information Sciences · doi:10.1016/0020-0255(75)90017-1 · Cited by 12,139
Fuzzy sets as a basis for a theory of possibility
Zadeh, L. A. (1978) · Fuzzy Sets and Systems · doi:10.1016/0165-0114(78)90029-5 · Cited by 8,119
Lecture Notes in Artificial Intelligence
Brézillon, P., & Bouquet, P. (1999) · Cited by 7,473
Fuzzy sets as a basis for a theory of possibility
Zadeh, L. A. (1999) · Fuzzy Sets and Systems · doi:10.1016/s0165-0114(99)80004-9 · Cited by 7,276
Fuzzy Sets and Systems - Theory and Applications
(1980) · Mathematics in Science and Engineering · doi:10.1016/s0076-5392(09)x6008-x · Cited by 6,383
Interval valued intuitionistic fuzzy sets
Atanassov, K., & Gargov, G. (1989) · Fuzzy Sets and Systems · doi:10.1016/0165-0114(89)90205-4 · Cited by 2,916
Some geometric aggregation operators based on intuitionistic fuzzy sets
Xu, Z., & Yager, R. R. (2006) · International Journal of General Systems · doi:10.1080/03081070600574353 · Cited by 2,356
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Cited by
Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis
Chen, N., Xu, Z., & Xia, M. (2013) · Applied Mathematical Modelling · doi:10.1016/j.apm.2012.04.031 · Cited by 481
Self-citationHesitant Fuzzy Sets: State of the Art and Future Directions
Rodríguez, R. M., Martínez, L., Torra, V., Xu, Z. S., & Herrera, F. (2014) · International Journal of Intelligent Systems · doi:10.1002/int.21654 · Cited by 461
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Metadata
- Authors
- Zhu, B., Xu, Z., & Xia, M.
- Venue
- Journal of Applied Mathematics
- Publisher
- Wiley
- Published
- 2012-01
- Volume
- 2012
- Issue
- 1
- ISSN
- 1110-757X (ISSN-L)
- 1687-0042
- OpenAlex
- W2068843436
- Cited by
- 655
- References
- 27
- FWCI
- 36.61
- Type
- journal article
- Language
- en
- Open access
- gold
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