The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
On similarity and entropy of neutrosophic sets
Abstract
In this paper we have introduced the notion of distance between two single valued neutrosophic sets and studied its properties. We have also defined several similarity measures between them and investigated their characteristics. A measure of entropy of a single valued neutrosophic set has also been introduced.
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
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
A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory
De Luca, A., & Termini, S. (1972) · Information and Control · doi:10.1016/s0019-9958(72)90199-4 · Cited by 2,261
Single Valued Neutrosophic SetsPreprint
Wang, H., Smarandache, F., Zhang, Y., & Sunderraman, R. (2010) · viXra · Cited by 1,403
Entropy for intuitionistic fuzzy sets
Szmidt, E., & Kacprzyk, J. (2001) · Fuzzy Sets and Systems · doi:10.1016/s0165-0114(98)00402-3 · Cited by 925
Smarandache, F. (2008) · PhilPapers (PhilPapers Foundation) · Cited by 703
Fuzzy entropy and conditioning
Kosko, B. (1986) · Information Sciences · doi:10.1016/0020-0255(86)90006-x · Cited by 621
ON THE MEASURE OF FUZZINESS AND NEGATION Part I: Membership in the Unit Interval
YAGER, R. R. (1979) · International Journal of General Systems · doi:10.1080/03081077908547452 · Cited by 590
Introduction to the Theory of Fuzzy Subsets-vol. 1: Fundamental Theoretical Elements
Kaufmann, A., & Bonaert, A. P. (1977) · IEEE Transactions on Systems Man and Cybernetics · doi:10.1109/tsmc.1977.4309751 · Cited by 81
Cited by
TOPSIS method for multi-attribute group decision-making under single-valued neutrosophic environment
Biswas, P., Pramanik, S., & Giri, B. C. (2016) · Neural Computing and Applications · doi:10.1007/s00521-015-1891-2 · Cited by 408
Metadata
- Authors
- Majumdar, P., & Samanta, S. K.
- Venue
- Journal of Intelligent & Fuzzy Systems
- Publisher
- SAGE Publications
- Published
- 2014-01
- Volume
- 26
- Issue
- 3
- Pages
- 1245-1252
- ISSN
- 1064-1246 (ISSN-L)
- 1875-8967
- OpenAlex
- W1578428442
- Cited by
- 397
- References
- 9
- FWCI
- 53.40
- 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: On similarity and entropy of neutrosophic sets. https://app.cochat.ai/papers/10.3233/ifs-130810
- The paper
- Majumdar, P., & Samanta, S. K. (2014). On similarity and entropy of neutrosophic sets. Journal of Intelligent & Fuzzy Systems. https://doi.org/10.3233/ifs-130810
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.