The DOI matches its Crossref record; 43 of the 43 references it cites were found in a registry or an index.
Possibility Distribution-Based Approach for MAGDM With Hesitant Fuzzy Linguistic Information
Abstract
In group decision making (GDM) with qualitative settings, experts may require several possible linguistic values rather than a single term to express their preferences. A hesitant fuzzy linguistic term set has recently been developed to manage this situation. In line with this development, in this paper, we present a new framework model to address multiple attribute GDM with hesitant fuzzy linguistic information. First, the concept of a possibility distribution is defined. Based on the possibility distributions, some aggregation operators such as the hesitant fuzzy linguistic weighted average operator and the hesitant fuzzy linguistic ordered weighted average operator are proposed. A consensus measure is then defined and a consensus reaching process is given which uses different identification and direction rules compared with the existing methods. A selection process is also described to rank the alternatives. Both processes are necessary to support stakeholders when making rational decisions. Finally, two simulated examples are given to verify the practicability of the proposed approach.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
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
On ordered weighted averaging aggregation operators in multicriteria decisionmaking
Yager, R. R. (1988) · IEEE Transactions on Systems, Man, and Cybernetics · doi:10.1109/21.87068 · Cited by 7,289
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
Hesitant Fuzzy Linguistic Term Sets for Decision Making
Rodriguez, R. M., Martinez, L., & Herrera, F. (2012) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2011.2170076 · Cited by 2,328
Torra, V. (2010) · International Journal of Intelligent Systems · doi:10.1002/int.20418 · Cited by 2,322
Hesitant fuzzy information aggregation in decision making
Xia, M., & Xu, Z. (2011) · International Journal of Approximate Reasoning · doi:10.1016/j.ijar.2010.09.002 · Cited by 1,596
On Ordered Weighted Averaging Aggregation Operators in Multicriteria Decisionmaking
YAGER, R. R. (1993) · Readings in Fuzzy Sets for Intelligent Systems · doi:10.1016/b978-1-4832-1450-4.50011-0 · Cited by 1,056
A review of soft consensus models in a fuzzy environment
Herrera‐Viedma, E., Cabrerizo, F. J., Kacprzyk, J., & Pedrycz, W. (2013) · Information Fusion · doi:10.1016/j.inffus.2013.04.002 · Cited by 712
Herrera-Viedma, E., Martinez, L., Mata, F., & Chiclana, F. (2005) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2005.856561 · Cited by 638
Zhang, G., Dong, Y., & Xu, Y. (2014) · Information Fusion · doi:10.1016/j.inffus.2012.01.006 · Cited by 590
Cited by
Probabilistic linguistic term sets in multi-attribute group decision making
Pang, Q., Wang, H., & Xu, Z. (2016) · Information Sciences · doi:10.1016/j.ins.2016.06.021 · Cited by 1,289
Zhang, H., Dong, Y., Chiclana, F., & Yu, S. (2019) · European Journal of Operational Research · doi:10.1016/j.ejor.2018.11.052 · Cited by 339
Metadata
- Authors
- Wu, Z., & Xu, J.
- Venue
- IEEE Transactions on Cybernetics
- Published
- 2016-03
- Volume
- 46
- Issue
- 3
- Pages
- 694-705
- ISSN
- 2168-2267 (ISSN-L)
- 2168-2275
- OpenAlex
- W2071657601
- Cited by
- 314
- References
- 43
- FWCI
- 41.98
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Possibility Distribution-Based Approach for MAGDM With Hesitant Fuzzy Linguistic Information. https://app.cochat.ai/papers/10.1109/tcyb.2015.2413894
- The paper
- Wu, Z., & Xu, J. (2016). Possibility Distribution-Based Approach for MAGDM With Hesitant Fuzzy Linguistic Information. IEEE Transactions on Cybernetics. https://doi.org/10.1109/tcyb.2015.2413894
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
