Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 58, Issue 3, Pages 521-527Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2009.04.019
Keywords
Fuzzy soft set; Interval-valued fuzzy set; Interval-valued fuzzy soft set; Operation; Choice value
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Funding
- Natural Science Foundation of China [60472060, 60572034, 60632050]
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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. (C) 2009 Elsevier Ltd. All rights reserved.
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