title: Continuous hesitant fuzzy aggregation operators and their application to decision making under interval-valued hesitant fuzzy setting.
abstract: Interval-valued hesitant fuzzy set (IVHFS), which is the further generalization of hesitant fuzzy set, can overcome the barrier that the precise membership degrees are sometimes hard to be specified and permit the membership degrees of an element to a set to have a few different interval values. To efficiently and effectively aggregate the interval-valued hesitant fuzzy information, in this paper, we investigate the continuous hesitant fuzzy aggregation operators with the aid of continuous OWA operator; the C-HFOWA operator and C-HFOWG operator are presented and their essential properties are studied in detail. Then, we extend the C-HFOW operators to aggregate multiple interval-valued hesitant fuzzy elements and then develop the weighted C-HFOW (WC-HFOWA and WC-HFOWG) operators, the ordered weighted C-HFOW (OWC-HFOWA and OWC-HFOWG) operators, and the synergetic weighted C-HFOWA (SWC-HFOWA and SWC-HFOWG) operators; some properties are also discussed to support them. Furthermore, a SWC-HFOW operators-based approach for multicriteria decision making problem is developed. Finally, a practical example involving the evaluation of service quality of high-tech enterprises is carried out and some comparative analyses are performed to demonstrate the applicability and effectiveness of the developed approaches.
authors.affiliation: Institute of Quality Development, Kunming University of Science and Technology, Kunming 650093, China ; School of Management, Harbin University of Science and Technology, Harbin 150040, China.
authors.forename: Ding-Hong
authors.identifier: 0000-0001-6031-4587
authors.initials: DH
authors.lastname: Peng
authors.affiliation: Institute of Quality Development, Kunming University of Science and Technology, Kunming 650093, China.
authors.forename: Tie-Dan
authors.initials: TD
authors.lastname: Wang
authors.affiliation: School of Management, Harbin University of Science and Technology, Harbin 150040, China.
authors.forename: Chang-Yuan
authors.initials: CY
authors.lastname: Gao
authors.affiliation: Institute of Quality Development, Kunming University of Science and Technology, Kunming 650093, China.
authors.forename: Hua
authors.initials: H
authors.lastname: Wang
mesh_terms: D055641:Mathematical Concepts