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Some geometric aggregation operators based on intuitionistic fuzzy sets
Abstract
The weighted geometric (WG) operator and the ordered weighted geometric (OWG) operator are two common aggregation operators in the field of information fusion. But these two aggregation operators are usually used in situations where the given arguments are expressed as crisp numbers or linguistic values. In this paper, we develop some new geometric aggregation operators, such as the intuitionistic fuzzy weighted geometric (IFWG) operator, the intuitionistic fuzzy ordered weighted geometric (IFOWG) operator, and the intuitionistic fuzzy hybrid geometric (IFHG) operator, which extend the WG and OWG operators to accommodate the environment in which the given arguments are intuitionistic fuzzy sets which are characterized by a membership function and a non-membership function. Some numerical examples are given to illustrate the developed operators. Finally, we give an application of the IFHG operator to multiple attribute decision making based on intuitionistic fuzzy sets.
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Citations
Cites
Atanassov, K. T. (1986) · Fuzzy Sets and Systems · doi:10.1016/s0165-0114(86)80034-3 · Cited by 16,465
Cited by
Mahmood, T., Ullah, K., Khan, Q., & Jan, N. (2019) · Neural Computing and Applications · doi:10.1007/s00521-018-3521-2 · Cited by 910
Dynamic intuitionistic fuzzy multi-attribute decision making
Xu, Z., & Yager, R. R. (2008) · International Journal of Approximate Reasoning · doi:10.1016/j.ijar.2007.08.008 · Cited by 594
Self-citationWei, G. (2017) · Journal of Intelligent & Fuzzy Systems · doi:10.3233/jifs-161798 · Cited by 435
RetractedMethod for three-way decisions using ideal TOPSIS solutions at Pythagorean fuzzy information
Liang, D., Xu, Z., Liu, D., & Wu, Y. (2018) · Information Sciences · doi:10.1016/j.ins.2018.01.015 · Cited by 308
Self-citationA new approach to q-linear Diophantine fuzzy emergency decision support system for COVID19
Almagrabi, A. O., Abdullah, S., Shams, M., Al-Otaibi, Y. D., & Ashraf, S. (2022) · Journal of Ambient Intelligence and Humanized Computing · doi:10.1007/s12652-021-03130-y · Cited by 114
Metadata
- Authors
- Xu, Z., & Yager, R. R.
- Venue
- International Journal of General Systems
- Publisher
- Informa UK Limited
- Published
- 2006-08
- Volume
- 35
- Issue
- 4
- Pages
- 417-433
- ISSN
- 0308-1079 (ISSN-L)
- 1563-5104
- OpenAlex
- W1981107087
- Cited by
- 2,356
- References
- 1
- FWCI
- 29.26
- Type
- journal article
- Language
- en
- Open access
- closed
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- Xu, Z., & Yager, R. R. (2006). Some geometric aggregation operators based on intuitionistic fuzzy sets. International Journal of General Systems. https://doi.org/10.1080/03081070600574353
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