Abstract
Because the natural disaster system is a very comprehensive and large system, the disaster reduction scheme must rely on risk analysis. Experts’ knowledge and experiences play a critical role in disaster risk assessment. The hesitant fuzzy linguistic preference relation is an effective tool to express experts’ preference information when comparing pairwise alternatives. Owing to the lack of knowledge or a heavy workload, information may be missed in the hesitant fuzzy linguistic preference relation. Thus, an incomplete hesitant fuzzy linguistic preference relation is constructed. In this paper, we firstly discuss some properties of the additive consistent hesitant fuzzy linguistic preference relation. Next, the incomplete hesitant fuzzy linguistic preference relation, the normalized hesitant fuzzy linguistic preference relation, and the acceptable hesitant fuzzy linguistic preference relation are defined. Afterwards, three procedures to estimate the missing information are proposed. The first one deals with the situation in which there are only known judgments involving all the alternatives; the second one is used to estimate the missing information of the hesitant fuzzy linguistic preference relation with more known judgments; while the third procedure is used to deal with ignorance situations in which there is at least one alternative with totally missing information. Furthermore, an algorithm for group decision making with incomplete hesitant fuzzy linguistic preference relations is given. Finally, we illustrate our model with a case study about flood disaster risk evaluation. A comparative analysis is presented to testify the advantage of our method.
Highlights
China is one of the few countries with the most serious natural calamities in the world
An algorithm for group decision making with incomplete hesitant fuzzy linguistic preference relations is given
The incomplete HFLPR (IHFLPR) are divided into three categories: the IHFLPR with n − 1 known judgments, the IHFLPR with more than n − 1 judgments, and the IHFLPR with one alternative with totally missing information
Summary
China is one of the few countries with the most serious natural calamities in the world. In natural disaster risk evaluation, the experiences and knowledge of experts play a critical role. Rodríguez et al [6] initially proposed the definition of hesitant fuzzy linguistic preference relation (HFLPR). The HFLPR is a powerful tool to represent the situations in which the experts are hesitant among a set of probable linguistic values for the preference degrees of pairwise comparisons on alternatives. The models introduced were used in site selection for a hydropower station They did not propose the approaches to estimate the missing information. A real-world case study about flood disaster risk evaluation is provided to verify the feasibility of the Group Decision Making (GDM) model.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
