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

Zhiming Zhang and Shouhua Zhang

Journal of Applied Mathematics, 2012, vol. 2012, 1-35

Abstract:

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:608681

DOI: 10.1155/2012/608681

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