Soft set
Soft set theory is a generalization of
function
from A to the power set of X. For each e in A, the set f(e) is called the value set of e in (f, A).
A systematic literature review on soft set theory was published in the journal Neural Computing and Applications in February 2024.[2]
One of the most important steps[why?] for the new theory of soft sets was to define mappings on soft sets, which was achieved in 2009 by the mathematicians Athar Kharal and Bashir Ahmad, with the results published in 2011.[3] Soft sets have also been applied to the problem of medical diagnosis for use in medical expert systems. Fuzzy soft sets[4] and N-soft sets[5] have also been introduced. Mappings on fuzzy soft sets were defined and studied by Kharal and Ahmad.[6]
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Notes
References
- Molodtsov D. A. A theory of soft sets. Moscow: Editorial URSS, 2004.
- Matsievsky S. V. Sets, multisets, fuzzy and soft sets without universe. Vestnik IKSUR, 2007, N. 10, pp. 44–52.
- Ahmad, B., Kharal, A.On Fuzzy Soft Sets. Advances in Fuzzy Systems Volume 2009 (2009), Article ID 586507, 6 pages .
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