The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
On some new operations in soft set theory
Open accessAbstract
Molodtsov introduced the theory of soft sets, which can be seen as a new mathematical approach to vagueness. In this paper, we first point out that several assertions (Proposition 2.3 (iv)-(vi), Proposition 2.4 and Proposition 2.6 (iii), (iv)) in a previous paper by Maji et al. [P.K. Maji, R. Biswas, A.R. Roy, Soft set theory, Comput. Math. Appl. 45 (2003) 555-562] are not true in general, by counterexamples. Furthermore, based on the analysis of several operations on soft sets introduced in the same paper, we give some new notions such as the restricted intersection, the restricted union, the restricted difference and the extended intersection of two soft sets. Moreover, we improve the notion of complement of a soft set, and prove that certain De Morgan's laws hold in soft set theory with respect to these new definitions.
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
Molodtsov, D. (1999) · Computers & Mathematics with Applications · doi:10.1016/s0898-1221(99)00056-5 · Cited by 4,702
Maji, P. K., Biswas, R., & Roy, A. R. (2003) · Computers & Mathematics with Applications · doi:10.1016/s0898-1221(03)00016-6 · Cited by 2,282
Aktaş, H., & Çağman, N. (2007) · Information Sciences · doi:10.1016/j.ins.2006.12.008 · Cited by 1,107
Feng, F., Jun, Y. B., & Zhao, X. (2008) · Computers & Mathematics with Applications · doi:10.1016/j.camwa.2008.05.011 · Cited by 575
Self-citation
Cited by
Shabir, M., & Naz, M. (2011) · Computers & Mathematics with Applications · doi:10.1016/j.camwa.2011.02.006 · Cited by 964
Self-citationCường, B. C. (2015) · Journal of Computer Science and Cybernetics · doi:10.15625/1813-9663/30/4/5032 · Cited by 875
Majumdar, P., & Samanta, S. K. (2010) · Computers & Mathematics with Applications · doi:10.1016/j.camwa.2010.09.004 · Cited by 124
Metadata
- Authors
- Ali, M. I., Feng, F., Liu, X., Min, W. K., & Shabir, M.
- Venue
- Computers & Mathematics with Applications
- Publisher
- Elsevier BV
- Published
- 2009-05
- Volume
- 57
- Issue
- 9
- Pages
- 1547-1553
- ISSN
- 0898-1221 (ISSN-L)
- OpenAlex
- W2083267403
- Cited by
- 1,453
- References
- 4
- FWCI
- 55.02
- Type
- journal article
- Language
- en
- Open access
- bronze
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: On some new operations in soft set theory. https://app.cochat.ai/papers/10.1016/j.camwa.2008.11.009
- The paper
- Ali, M. I., Feng, F., Liu, X., Min, W. K., & Shabir, M. (2009). On some new operations in soft set theory. Computers & Mathematics with Applications. https://doi.org/10.1016/j.camwa.2008.11.009
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.
