Title
Novel decision-making approach based on hesitant fuzzy sets and graph theory
Abstract
Hesitant fuzzy set is a powerful and effective tool to express uncertain information in multi-attribute decision-making (MADM) process, as it permits the membership degree of an element to a set represented by several possible values in [0,1]. In this paper, we develop a new decision-making approach based on graph theory to deal with the MADM problems, in which the decision information is expressed by hesitant fuzzy elements. Meanwhile, we generalize this approach to make it suitable for processing interval-valued hesitant fuzzy and hesitant triangular fuzzy information. Moreover, we utilize the numerical examples concerning the energy project selection and software evaluation to show the detailed implementation procedure and reliability of our method in solving MADM problems under hesitant fuzzy, interval-valued hesitant fuzzy and hesitant triangular fuzzy environment.
Year
DOI
Venue
2019
10.1007/s40314-019-0773-0
Computational and Applied Mathematics
Keywords
DocType
Volume
Hesitant fuzzy set, Interval-valued hesitant fuzzy set, Hesitant triangular fuzzy set, Graph theory, Expected value, 68R10, 03E72
Journal
38
Issue
ISSN
Citations 
1
2238-3603
2
PageRank 
References 
Authors
0.39
22
2
Name
Order
Citations
PageRank
Sumera Naz171.81
Muhammad Akram2436.36