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Zbl 1189.03064
Yang, Xibei; Lin, Tsau Young; Yang, Jingyu; Li, Yan; Yu, Dongjun
Combination of interval-valued fuzzy set and soft set. (English)
[J] Comput. Math. Appl. 58, No. 3, 521-527 (2009). ISSN 0898-1221

Summary: The soft set theory, proposed by Molodtsov, can be used as a general mathematical tool for dealing with uncertainty. By combining the interval-valued fuzzy set and soft set models, the purpose of this paper is to introduce the concept of the interval-valued fuzzy soft set. The complement, ``AND'' and ``OR'' operations are defined on the interval-valued fuzzy soft sets. The DeMorgan's, associative and distribution laws of the interval-valued fuzzy soft sets are then proved. Finally, a decision problem is analyzed by the interval-valued fuzzy soft set. Some numerical examples are employed to substantiate the conceptual arguments.

MSC 2000:: *03E72 Fuzzy sets (logic)

Keywords: fuzzy soft set; interval-valued fuzzy set; interval-valued fuzzy soft set; operation; choice value

Cited in: Zbl 1217.03037

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