The pentagonal fuzzy number:its different representations, properties, ranking, defuzzification and application in game problems
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...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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MDPI
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/77859/ http://psasir.upm.edu.my/id/eprint/77859/1/77859.pdf |
| _version_ | 1848858346154622976 |
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| author | Chakraborty, Avishek Mondal, Sankar Prasad Alam, Shariful Hosseini, Seyedali Ahmadian Senu, Norazak De, Debashis Salahshour, Soheil |
| author_facet | Chakraborty, Avishek Mondal, Sankar Prasad Alam, Shariful Hosseini, Seyedali Ahmadian Senu, Norazak De, Debashis Salahshour, Soheil |
| author_sort | Chakraborty, Avishek |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T12:11:59Z |
| format | Article |
| id | upm-77859 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:11:59Z |
| publishDate | 2019 |
| publisher | MDPI |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-778592020-05-04T17:35:49Z http://psasir.upm.edu.my/id/eprint/77859/ The pentagonal fuzzy number:its different representations, properties, ranking, defuzzification and application in game problems Chakraborty, Avishek Mondal, Sankar Prasad Alam, Shariful Hosseini, Seyedali Ahmadian Senu, Norazak De, Debashis Salahshour, Soheil 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. MDPI 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/77859/1/77859.pdf 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 https://www.mdpi.com/2073-8994/11/2/248 10.3390/sym11020248 |
| spellingShingle | Chakraborty, Avishek Mondal, Sankar Prasad Alam, Shariful Hosseini, Seyedali Ahmadian Senu, Norazak De, Debashis Salahshour, Soheil The pentagonal fuzzy number:its different representations, properties, ranking, defuzzification and application in game problems |
| title | The pentagonal fuzzy number:its different representations, properties, ranking, defuzzification and application in game problems |
| title_full | The pentagonal fuzzy number:its different representations, properties, ranking, defuzzification and application in game problems |
| title_fullStr | The pentagonal fuzzy number:its different representations, properties, ranking, defuzzification and application in game problems |
| title_full_unstemmed | The pentagonal fuzzy number:its different representations, properties, ranking, defuzzification and application in game problems |
| title_short | The pentagonal fuzzy number:its different representations, properties, ranking, defuzzification and application in game problems |
| title_sort | pentagonal fuzzy number:its different representations, properties, ranking, defuzzification and application in game problems |
| url | http://psasir.upm.edu.my/id/eprint/77859/ http://psasir.upm.edu.my/id/eprint/77859/ http://psasir.upm.edu.my/id/eprint/77859/ http://psasir.upm.edu.my/id/eprint/77859/1/77859.pdf |