caa a22 4500 605468737 CHVBK 20210128100318.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s00500-014-1422-6 doi (NATIONALLICENCE)springer-10.1007/s00500-014-1422-6 Extended hesitant fuzzy hybrid weighted aggregation operators and their application in decision making [Elektronische Daten] [Huchang Liao, Zeshui Xu] Hesitant fuzzy set turns out to be a powerful tool in expressing uncertainty and vagueness. Liao and Xu (J Intell Fuzzy Syst, 26:1601-1617, 2014b) proposed a family of hesitant fuzzy hybrid weighted aggregation operators to synthesize hesitant fuzzy information and pointed out that these operators not only weight the importance of the hesitant fuzzy arguments and their ordered positions simultaneously, but also keep the property of idempotency. In this paper, some new properties, such as the boundedness and commutativity, of these operators are further investigated. After that, several new aggregation operators are introduced, including the generalized hesitant fuzzy hybrid weighted averaging operator, the generalized hesitant fuzzy hybrid weighted geometric operator, the generalized quasi hesitant fuzzy hybrid weighted averaging operator, the generalized quasi hesitant fuzzy hybrid weighted geometric operator, and their induced forms. The properties of these operators are investigated as well. Based on the proposed operators, an algorithm is established to aid multi-criteria decision making with hesitant fuzzy information. A numerical example concerning the evaluation of candidate portfolios is provided to show the practicality and validity of the proposed procedure and aggregation operators. Springer-Verlag Berlin Heidelberg, 2014 Multi-criteria decision making nationallicence Hesitant fuzzy set nationallicence Aggregation operator nationallicence Hesitant fuzzy hybrid aggregation operator nationallicence Liao Huchang Antai College of Economics and Management, Shanghai Jiao Tong University, 200052, Shanghai, China aut Xu Zeshui Business School, Sichuan University, 610065, Chengdu, Sichuan, China aut Soft Computing Springer Berlin Heidelberg 19/9(2015-09-01), 2551-2564 1432-7643 19:9<2551 2015 19 500 https://doi.org/10.1007/s00500-014-1422-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00500-014-1422-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Liao Huchang Antai College of Economics and Management, Shanghai Jiao Tong University, 200052, Shanghai, China aut NATIONALLICENCE 700 1- Xu Zeshui Business School, Sichuan University, 610065, Chengdu, Sichuan, China aut NATIONALLICENCE 773 0- Soft Computing Springer Berlin Heidelberg 19/9(2015-09-01), 2551-2564 1432-7643 19:9<2551 2015 19 500