H-max distance measure of intuitionistic fuzzy sets in decision making

Ngan, Roan Thi and Son, Le Hoang and Cuong, Bui Cong and Ali, Mumtaz (2018) H-max distance measure of intuitionistic fuzzy sets in decision making. Applied Soft Computing, 69. pp. 393-425. ISSN 1568-4946

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.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Published version cannot be displayed due to copyright restrictions.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 07 Feb 2019 00:54
Last Modified: 15 Feb 2019 01:37
Uncontrolled Keywords: Intuitionistic fuzzy sets; Distance measure; Intuitionistic t-norm; Intuitionistic t-conorm; Medical diagnosis
Fields of Research : 08 Information and Computing Sciences > 0802 Computation Theory and Mathematics > 080201 Analysis of Algorithms and Complexity
01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010303 Optimisation
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970108 Expanding Knowledge in the Information and Computing Sciences
Identification Number or DOI: 10.1016/j.asoc.2018.04.036
URI: http://eprints.usq.edu.au/id/eprint/35453

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