Searching for just a few words should be enough to get started. If you need to make more complex queries, use the tips below to guide you.
Article type: Research Article
Authors: Hasan, Mohammad Kamrula; b; * | Ali, Md. Yasinc | Sultana, Abedaa | Mitra, Nirmal Kantib
Affiliations: [a] Department of Mathematics, Jahangirnagar University, Savar, Bangladesh | [b] Department of Mathematics and Statistics, Bangladesh University of Business and Technology, Dhaka, Bangladesh | [c] Faculty of Science and Engineering, University of Information Technology & Sciences, Dhaka, Bangladesh
Correspondence: [*] Corresponding author. Mohammad Kamrul Hasan, Department of Mathematics and Statistics, Bangladesh University of Business and Technology, Dhaka, Bangladesh. E-mail: krul.habi@yahoo.com.
Abstract: Picture fuzzy set (PFS), is a newly developed apparatus to treaty with uncertainties in problems where the opinions are yes, no, neutral, and refusal types. Extension principle is one of the key tools for describing uncertainties. It provides a general method for existing classical mathematical concepts to address fuzzy quantities. It has numerous applications in various arena of our real life. However, there are less works on extension principle for picture fuzzy sets. In this article, new extension principles namely minimal extension principle and average extension principle are proposed for picture fuzzy sets. Various properties of the minimal extension principle and the average extension principle for PFSs are also established. We also prove some properties of Zadeh’s extension principle for PFSs. Finally, arithmetic operations for PFSs based on the average extension principle are developed with numerical illustrations.
Keywords: Picture fuzzy set, Zadeh’s extension principle, minimal extension principle, average extension principle, arithmetic operations
DOI: 10.3233/JIFS-220616
Journal: Journal of Intelligent & Fuzzy Systems, vol. 44, no. 4, pp. 6265-6275, 2023
IOS Press, Inc.
6751 Tepper Drive
Clifton, VA 20124
USA
Tel: +1 703 830 6300
Fax: +1 703 830 2300
sales@iospress.com
For editorial issues, like the status of your submitted paper or proposals, write to editorial@iospress.nl
IOS Press
Nieuwe Hemweg 6B
1013 BG Amsterdam
The Netherlands
Tel: +31 20 688 3355
Fax: +31 20 687 0091
info@iospress.nl
For editorial issues, permissions, book requests, submissions and proceedings, contact the Amsterdam office info@iospress.nl
Inspirees International (China Office)
Ciyunsi Beili 207(CapitaLand), Bld 1, 7-901
100025, Beijing
China
Free service line: 400 661 8717
Fax: +86 10 8446 7947
china@iospress.cn
For editorial issues, like the status of your submitted paper or proposals, write to editorial@iospress.nl
如果您在出版方面需要帮助或有任何建, 件至: editorial@iospress.nl