H-max distance measure of intuitionistic fuzzy sets in decision making
Article
Article Title | H-max distance measure of intuitionistic fuzzy sets in decision making |
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ERA Journal ID | 17759 |
Article Category | Article |
Authors | Ngan, Roan Thi (Author), Son, Le Hoang (Author), Cuong, Bui Cong (Author) and Ali, Mumtaz (Author) |
Journal Title | Applied Soft Computing |
Journal Citation | 69, pp. 393-425 |
Number of Pages | 33 |
Year | 2018 |
Publisher | Elsevier |
Place of Publication | Netherlands |
ISSN | 1568-4946 |
1872-9681 | |
Digital Object Identifier (DOI) | https://doi.org/10.1016/j.asoc.2018.04.036 |
Web Address (URL) | https://www.sciencedirect.com/science/article/pii/S1568494618302278 |
Abstract | Intuitionistic fuzzy sets (IFSs) are successful to handle the uncertain situations of data. Distance measures of IFSs are important in the evaluation of IFSs relationships. In this paper, we analyzed the disadvantagesof existing distance measures of IFSs and proposed a new distance measure called H-max of IFSs. We con-tinued to point out some new results on intuitionistic t-norms and intuitionistic t-conorms and evaluateddistance measure between two IFSs which are basically structured from these operations. Further, wecombined the classification of t-representable intuitionistic fuzzy t-norms and t-conorms with the pro-posed distance measure to study some interesting properties. Moreover, we studied De Morgan tripletsof IFSs based on the proposed distance measure. Finally, we applied the proposed distance measure tomedical diagnosis problem examples and experimental validation on real-world datasets to check theapplicability and effectiveness. |
Keywords | Intuitionistic fuzzy sets; Distance measure; Intuitionistic t-norm; Intuitionistic t-conorm; Medical diagnosis |
ANZSRC Field of Research 2020 | 461399. Theory of computation not elsewhere classified |
490304. Optimisation | |
Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
Byline Affiliations | Hanoi University of Natural Resources and Environment, Vietnam |
Vietnam National University, Vietnam | |
Institute of Mathematics, Vietnam | |
School of Agricultural, Computational and Environmental Sciences | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q5041/h-max-distance-measure-of-intuitionistic-fuzzy-sets-in-decision-making
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