title: Hesitant fuzzy soft sets with application in multicriteria group decision making problems.
abstract: Soft sets have been regarded as a useful mathematical tool to deal with uncertainty. In recent years, many scholars have shown an intense interest in soft sets and extended standard soft sets to intuitionistic fuzzy soft sets, interval-valued fuzzy soft sets, and generalized fuzzy soft sets. In this paper, hesitant fuzzy soft sets are defined by combining fuzzy soft sets with hesitant fuzzy sets. And some operations on hesitant fuzzy soft sets based on Archimedean t-norm and Archimedean t-conorm are defined. Besides, four aggregation operations, such as the HFSWA, HFSWG, GHFSWA, and GHFSWG operators, are given. Based on these operators, a multicriteria group decision making approach with hesitant fuzzy soft sets is also proposed. To demonstrate its accuracy and applicability, this approach is finally employed to calculate a numerical example.
authors: School of Business, Central South University, Changsha 410083, China.
authors: Jian-qiang
authors: JQ
authors: Wang
authors: School of Business, Central South University, Changsha 410083, China.
authors: Xin-E
authors: XE
authors: Li
authors: School of Business, Central South University, Changsha 410083, China.
authors: Xiao-hong
authors: 0000-0003-3919-5215
authors: XH
authors: Chen