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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...

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主要な著者: Chakraborty, Avishek, Mondal, Sankar Prasad, Alam, Shariful, Hosseini, Seyedali Ahmadian, Senu, Norazak, De, Debashis, Salahshour, Soheil
フォーマット: 論文
言語:English
出版事項: MDPI 2019
オンライン･アクセス:http://psasir.upm.edu.my/id/eprint/77859/1/77859.pdf
http://psasir.upm.edu.my/id/eprint/77859/
https://www.mdpi.com/2073-8994/11/2/248
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spelling my.upm.eprints.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Article
author Chakraborty, Avishek
Mondal, Sankar Prasad
Alam, Shariful
Hosseini, Seyedali Ahmadian
Senu, Norazak
De, Debashis
Salahshour, Soheil
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
author_facet Chakraborty, Avishek
Mondal, Sankar Prasad
Alam, Shariful
Hosseini, Seyedali Ahmadian
Senu, Norazak
De, Debashis
Salahshour, Soheil
author_sort Chakraborty, Avishek
title 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_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_sort pentagonal fuzzy number:its different representations, properties, ranking, defuzzification and application in game problems
publisher MDPI
publishDate 2019
url http://psasir.upm.edu.my/id/eprint/77859/1/77859.pdf
http://psasir.upm.edu.my/id/eprint/77859/
https://www.mdpi.com/2073-8994/11/2/248
_version_ 1665896045322698752
score 13.251813

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