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The pentagonal fuzzy number:its different representations, properties, ranking, defuzzification and application in game problems


Citation

Chakraborty, Avishek and Mondal, Sankar Prasad and Alam, Shariful and Hosseini, Seyedali Ahmadian and Senu, Norazak and De, Debashis and Salahshour, Soheil (2019) The pentagonal fuzzy number:its different representations, properties, ranking, defuzzification and application in game problems. Symmetry, 11 (2). art. no. 248. pp. 1-29. ISSN 2073-8994

Abstract

In this paper, different measures of interval-valued pentagonal fuzzy numbers (IVPFN) associated with assorted membership functions (MF) were explored, considering significant exposure of multifarious interval-valued fuzzy numbers in neoteric studies. Also, the idea of MF is generalized somewhat to nonlinear membership functions for viewing the symmetries and asymmetries of the pentagonal fuzzy structures. Accordingly, the construction of level sets, for each case of linear and nonlinear MF was also carried out. Besides, defuzzification was undertaken using three methods and a ranking method, which were also the main features of this framework. The developed intellects were implemented in a game problem by taking the parameters as PFNs, ultimately resulting in a new direction for modeling real world problems and to comprehend the uncertainty of the parameters more precisely in the evaluation process.


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Official URL or Download Paper: https://www.mdpi.com/2073-8994/11/2/248

Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.3390/sym11020248
Publisher: MDPI
Keywords: Pentagonal fuzzy number (PFN); Non-linear interval-valued fuzzy number; Ranking; Defuzzification
Depositing User: Nabilah Mustapa
Date Deposited: 04 May 2020 17:35
Last Modified: 04 May 2020 17:35
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/sym11020248
URI: http://psasir.upm.edu.my/id/eprint/77859
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