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2014 Hesitant Fuzzy Soft Set and Its Applications in Multicriteria Decision Making
Fuqiang Wang, Xihua Li, Xiaohong Chen
J. Appl. Math. 2014: 1-10 (2014). DOI: 10.1155/2014/643785


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.


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Fuqiang Wang. Xihua Li. Xiaohong Chen. "Hesitant Fuzzy Soft Set and Its Applications in Multicriteria Decision Making." J. Appl. Math. 2014 1 - 10, 2014.


Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131762
Digital Object Identifier: 10.1155/2014/643785

Rights: Copyright © 2014 Hindawi


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