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EOWA AND EOWG OPERATORS FOR AGGREGATING LINGUISTIC LABELS BASED ON LINGUISTIC PREFERENCE RELATIONS
Abstract
In this paper, we define two types of linguistic preference relations (multiplicative linguistic preference relation and additive linguistic preference relation), and study some of their desirable properties. We introduce the extended geometric mean (EGM) operator, extended arithmetical averaging (EAA) operator, extended ordered weighted averaging (EOWA) operator and extended ordered weighted geometric (EOWG) operator. An approach based on the EGM and EOWG operators and multiplicative linguistic preference relations and an approach based on the EAA and EOWA operators and additive linguistic preference relations are proposed to ranking the alternatives in the group decision-making problems. Finally, we give a numerical example to illustrate the developed approaches.
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Cites
A 2-tuple fuzzy linguistic representation model for computing with words
Martinez, L., & Herrera, F. (2000) · IEEE Transactions on Fuzzy Systems · doi:10.1109/91.890332 · Cited by 2,662
Cited by
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
Self-citationIntuitionistic preference relations and their application in group decision making☆
XU, Z. (2007) · Information Sciences · doi:10.1016/j.ins.2006.12.019 · Cited by 848
Self-citationAn overview of methods for determining OWA weights
Xu, Z. (2005) · International Journal of Intelligent Systems · doi:10.1002/int.20097 · Cited by 786
Self-citationZavadskas, E. K., Mardani, A., Turskis, Z., Jusoh, A., & Nor, K. M. (2016) · International Journal of Information Technology & Decision Making · doi:10.1142/s0219622016300019 · Cited by 485
Computing with Words in Decision support Systems: An overview on Models and Applications
Martínez, L., Ruan, D., & Herrera, F. (2010) · International Journal of Computational Intelligence Systems · doi:10.1080/18756891.2010.9727709 · Cited by 287
Metadata
- Authors
- XU, Z. S.
- Venue
- International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
- Publisher
- World Scientific Pub Co Pte Lt
- Published
- 2004-12
- Volume
- 12
- Issue
- 06
- Pages
- 791-810
- ISSN
- 0218-4885 (ISSN-L)
- 1793-6411
- OpenAlex
- W2056348485
- Cited by
- 315
- References
- 1
- FWCI
- 8.91
- Type
- journal article
- Language
- en
- Open access
- closed
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- XU, Z. S. (2004). EOWA AND EOWG OPERATORS FOR AGGREGATING LINGUISTIC LABELS BASED ON LINGUISTIC PREFERENCE RELATIONS. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems. https://doi.org/10.1142/s0218488504003211
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