Hesitant Fuzzy Soft Set and Its Applications in Multicriteria Decision Making | Zendy

Fuqiang Wang | Zendy; Xihua Li | Zendy; Xiaohong Chen | Zendy

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Hesitant Fuzzy Soft Set and Its Applications in Multicriteria Decision Making

Author(s) -

Fuqiang Wang,

Xihua Li,

Xiaohong Chen

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/643785

Subject(s) - soft set , intersection (aeronautics) , complement (music) , fuzzy set , fuzzy logic , mathematics , fuzzy set operations , mathematical optimization , set (abstract data type) , defuzzification , computer science , soft computing , fuzzy number , artificial intelligence , engineering , biochemistry , chemistry , programming language , complementation , gene , phenotype , aerospace engineering

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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