Original scientific paper
https://doi.org/10.1080/1331677X.2022.2076712
A hesitant fuzzy SMART method based on a new score function for information literacy assessment of teachers
Yong Qin
Zeshui Xu
Xinxin Wang
Abstract
As two powerful and flexible tools for decision-makers (DMs) to
model the complex cognition, the hesitant fuzzy set (HFS) and
hesitant fuzzy linguistic term set (HFLTS) allow DMs to express
their opinions with several possible membership values or linguistic
terms on the objects over each criterion. The aim of this article
is to develop a novel score function of the HFS and HFLTS including
hesitant degree and fuzzy degree information. For this purpose,
the notion of fuzzy degree of the hesitant fuzzy element
(HFE) and hesitant fuzzy linguistic element (HFLE) is introduced
first. Then, considering both the hesitant degree and fuzzy degree
information in expressions, the new score function, namely the
Score-H&FD, is designed. Based on which, we extend the classical
SMART (simple multi-attribute rating technique) method to the
hesitant fuzzy environment. As a result, the hesitant fuzzy SMART
(HF-SMART) method is developed in this article. Afterwards, we
apply our proposed approach to assess and rank several teachers
concerning information literacy. Finally, sensitive analysis and
comparative analysis are carried out. The results show that the
proposed method in this article has substantial advantages and
applicability.
Keywords
Hesitant fuzzy set; hesitant fuzzy linguistic term set; fuzzy degree; Score-H&FD; HF-SMART method.
Hrčak ID:
303735
URI
Publication date:
31.3.2023.
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