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Journal of Applied Mathematics
Volume 2014 (2014), Article ID 643785, 10 pages
Research Article

Hesitant Fuzzy Soft Set and Its Applications in Multicriteria Decision Making

School of Business, Central South University, Changsha, Hunan 410083, China

Received 16 April 2014; Accepted 16 June 2014; Published 3 July 2014

Academic Editor: Zhenfu Cao

Copyright © 2014 Fuqiang Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Molodtsov’s soft set theory is a newly emerging mathematical tool to handle uncertainty. However, the classical soft sets are not appropriate to deal with imprecise and fuzzy parameters. This paper aims to extend the classical soft sets to hesitant fuzzy soft sets which are combined by the soft sets and hesitant fuzzy sets. Then, the complement, “AND”, “OR”, union and intersection operations are defined on hesitant fuzzy soft sets. The basic properties such as DeMorgan’s laws and the relevant laws of hesitant fuzzy soft sets are proved. Finally, with the help of level soft set, the hesitant fuzzy soft sets are applied to a decision making problem and the effectiveness is proved by a numerical example.