Journal of Applied Mathematics

Type-2 Fuzzy Soft Sets and Their Applications in Decision Making

Zhiming Zhang and Shouhua Zhang

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Molodtsov introduced the theory of soft sets, which can be used as a general mathematical tool for dealing with uncertainty. This paper aims to introduce the concept of the type-2 fuzzy soft set by integrating the type-2 fuzzy set theory and the soft set theory. Some operations on the type-2 fuzzy soft sets are given. Furthermore, we investigate the decision making based on type-2 fuzzy soft sets. By means of level soft sets, we propose an adjustable approach to type-2 fuzzy-soft-set based decision making and give some illustrative examples. Moreover, we also introduce the weighted type-2 fuzzy soft set and examine its application to decision making.

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J. Appl. Math., Volume 2012 (2012), Article ID 608681, 35 pages.

First available in Project Euclid: 5 April 2013

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Zhang, Zhiming; Zhang, Shouhua. Type-2 Fuzzy Soft Sets and Their Applications in Decision Making. J. Appl. Math. 2012 (2012), Article ID 608681, 35 pages. doi:10.1155/2012/608681.

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