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Soft set theory -- first results. (English) Zbl 0936.03049
The paper briefly discusses the properties of three of the existing models of uncertainty, namely probability, fuzziness and interval mathematics, and suggests another one called soft sets. Soft sets are defined as parametrized classes of subsets of a universe. Operations with soft sets are defined and discussed. The main part of the paper is devoted to the soft set theoretical approaches to regulation, non-cooperative games and differential calculus.
Reviewer: M.Mareš (Praha)

##### MSC:
 03E70 Nonclassical set theories 03E75 Applications of set theory 26E50 Fuzzy real analysis 28E10 Fuzzy measure theory 03E72 Fuzzy set theory 91A44 Games involving topology or set theory
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