Abstract
AbstractGroup decision making problems which organize a group of experts to evaluate a set of alternatives with respect to several criteria are commonly discussed recently. Hesitant fuzzy linguistic term sets, characterized by a set of consecutive linguistic terms, act as a new model for qualitative settings where experts think of several possible linguistic values or richer expressions than a single term. When evaluating an indicator, alternative or variable in group decision making, however, linguistic terms involved in an expression derived by the group may be not always consecutive. Therefore, we generalize hesitant fuzzy linguistic term sets by enabling any non-consecutive linguistic terms in them, and refer to as extended hesitant fuzzy linguistic term sets (EHFLTSs). EHFLTSs can be constructed by the union of hesitant fuzzy linguistic term sets given by individual expert. As owning more desirable mathematical properties, EHFLTSs are flexible for develop complex decision model. Some basic operation ...
Highlights
Decision making by individual and group of individuals, such as committees, governing bodies, juries, business partners, teams, and families, is referred to as individual decision making and group decision making (GDM), respectively
We develop some basic operations for extended hesitant fuzzy linguistic term sets (EHFLTSs) and some arithmetic operations for extended hesitant fuzzy linguistic term (EHFLT)
We have extended hesitant fuzzy linguistic term set (HFLTS) to EHFLTSs for the purpose of application
Summary
Decision making by individual and group of individuals, such as committees, governing bodies, juries, business partners, teams, and families, is referred to as individual decision making and group decision making (GDM), respectively. An expert may think of more than one term at the same time and look forward to a more complex linguistic term, instead of a single term, to represent his/her evaluations about problems defined under uncertainty With this view, Rodriguez et al 19 presented the concept of hesitant fuzzy linguistic term set (HFLTS) by the idea of HFS in 2012. Suppose a decision organization with three groups of experts is authorized to assess the satisfactory degree of an alternative with respect to a criterion by a linguistic term set {“very good”, “good”, “indifferent”, “bad”, “very bad”}. Comparing to the original assessment, we lose some important information at the beginning of the decision making process Another alternative resolution is the evidential reasoning algorithm 2 if corresponding probabilities are provided associated with the linguistic terms.
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
