Soft set theory – first results.

*(English)*Zbl 0936.03049The 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 and second-order set theories |

03E75 | Applications of set theory |

26E50 | Fuzzy real analysis |

28E10 | Fuzzy measure theory |

03E72 | Theory of fuzzy sets, etc. |

91A44 | Games involving topology, set theory, or logic |

##### Keywords:

fuzzy set; soft function; models of uncertainty; probability; fuzziness; interval mathematics; soft sets; regulation; non-cooperative games; differential calculus
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\textit{D. Molodtsov}, Comput. Math. Appl. 37, No. 4--5, 19--31 (1999; Zbl 0936.03049)

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##### References:

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