TY - JOUR
T1 - Free Double Hierarchy Hesitant Fuzzy Linguistic Term Sets
T2 - An application on ranking alternatives in GDM
AU - Montserrat-Adell, Jordi
AU - Xu, Zeshui
AU - Gou, Xunjie
AU - Agell, Núria
N1 - Funding Information:
This research has been partially supported by the INVITE Research Project (TIN2016-80049-C2-1-R and TIN2016-80049-C2-2-R (AEI/FEDER, UE)), funded by the Spanish Ministry of Science and Information Technology and in part by the National Natural Science Foundation of China (No. 71571123, 71771155)
Publisher Copyright:
© 2018 Elsevier B.V.
PY - 2019/5
Y1 - 2019/5
N2 - Hesitant fuzzy linguistic term sets have been an active field of research in recent times. Notwithstanding its usefulness to capture the human way of reasoning using linguistic expressions involving different levels of precision, in some situations they do not depict enough details. In this paper, we present a new kind of linguistic term sets, called free double hierarchy linguistic term sets, and their corresponding free double hierarchy hesitant fuzzy linguistic elements, in order to describe the complexity of linguistic expressions used by the decision makers in a more accurate and precise way. Furthermore, an order and a distance between free double hierarchy hesitant fuzzy linguistic elements are introduced to present an approach based on the TOPSIS method to rank alternatives with free double hierarchy hesitant fuzzy linguistic information by taking into consideration the opinions of a group of decision makers. A case study based on tourism management in Barcelona is also provided to illustrate the usefulness of the presented approach.
AB - Hesitant fuzzy linguistic term sets have been an active field of research in recent times. Notwithstanding its usefulness to capture the human way of reasoning using linguistic expressions involving different levels of precision, in some situations they do not depict enough details. In this paper, we present a new kind of linguistic term sets, called free double hierarchy linguistic term sets, and their corresponding free double hierarchy hesitant fuzzy linguistic elements, in order to describe the complexity of linguistic expressions used by the decision makers in a more accurate and precise way. Furthermore, an order and a distance between free double hierarchy hesitant fuzzy linguistic elements are introduced to present an approach based on the TOPSIS method to rank alternatives with free double hierarchy hesitant fuzzy linguistic information by taking into consideration the opinions of a group of decision makers. A case study based on tourism management in Barcelona is also provided to illustrate the usefulness of the presented approach.
KW - Free double hierarchy hesitant fuzzy linguistic term sets
KW - Free double hierarchy linguistic term sets
KW - Group decision-making
KW - Linguistic modeling
KW - TOPSIS
KW - Tourism management
UR - http://www.scopus.com/inward/record.url?scp=85050528750&partnerID=8YFLogxK
U2 - 10.1016/j.inffus.2018.07.002
DO - 10.1016/j.inffus.2018.07.002
M3 - Article
AN - SCOPUS:85050528750
SN - 1566-2535
VL - 47
SP - 45
EP - 59
JO - Information Fusion
JF - Information Fusion
ER -