Membership Score of an Interval-Valued Pythagorean Fuzzy Numbers and Its Applications
The main aim of the paper is to define a new Membership score function on the class of interval-valued Pythagorean fuzzy numbers, which can overcome the drawbacks of existing familiar ranking methods. In this paper, firstly, we show the limitations of various ranking functions in ordering/ comparing...
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| Format: | Article |
| Language: | English |
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IEEE
2023-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/10102474/ |
| _version_ | 1827962864866951168 |
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| author | Melfi A. Alrasheedi S. Jeevaraj |
| author_facet | Melfi A. Alrasheedi S. Jeevaraj |
| author_sort | Melfi A. Alrasheedi |
| collection | DOAJ |
| description | The main aim of the paper is to define a new Membership score function on the class of interval-valued Pythagorean fuzzy numbers, which can overcome the drawbacks of existing familiar ranking methods. In this paper, firstly, we show the limitations of various ranking functions in ordering/ comparing any two arbitrary interval-valued Pythagorean fuzzy numbers in detail. Secondly, we define a new Membership score function on the class of interval-valued Pythagorean fuzzy numbers and study their properties. Then we compare our proposed method with many other different existing methods to show the efficacy of the proposed method. Finally, we show the applicability of the proposed Membership score function in solving interval-valued Pythagorean fuzzy multi-criteria decision-making problems using a numerical example. |
| first_indexed | 2024-04-09T16:49:30Z |
| format | Article |
| id | doaj.art-c64fa420e595449dbee7bc1c1c7a85de |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-09T16:49:30Z |
| publishDate | 2023-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-c64fa420e595449dbee7bc1c1c7a85de2023-04-21T23:00:19ZengIEEEIEEE Access2169-35362023-01-0111378323783910.1109/ACCESS.2023.326727210102474Membership Score of an Interval-Valued Pythagorean Fuzzy Numbers and Its ApplicationsMelfi A. Alrasheedi0https://orcid.org/0000-0002-3911-2152S. Jeevaraj1https://orcid.org/0000-0002-4374-1939Department of Quantitative Methods, School of Business, King Faisal University, Al-Ahsa, Saudi ArabiaDepartment of Applied Sciences, Atal Bihari Vajpayee Indian Institute of Information Technology and Management, Gwalior, IndiaThe main aim of the paper is to define a new Membership score function on the class of interval-valued Pythagorean fuzzy numbers, which can overcome the drawbacks of existing familiar ranking methods. In this paper, firstly, we show the limitations of various ranking functions in ordering/ comparing any two arbitrary interval-valued Pythagorean fuzzy numbers in detail. Secondly, we define a new Membership score function on the class of interval-valued Pythagorean fuzzy numbers and study their properties. Then we compare our proposed method with many other different existing methods to show the efficacy of the proposed method. Finally, we show the applicability of the proposed Membership score function in solving interval-valued Pythagorean fuzzy multi-criteria decision-making problems using a numerical example.https://ieeexplore.ieee.org/document/10102474/Interval-valued Pythagorean fuzzy numbersimproved accuracy score functionmembership score functionMCDM |
| spellingShingle | Melfi A. Alrasheedi S. Jeevaraj Membership Score of an Interval-Valued Pythagorean Fuzzy Numbers and Its Applications IEEE Access Interval-valued Pythagorean fuzzy numbers improved accuracy score function membership score function MCDM |
| title | Membership Score of an Interval-Valued Pythagorean Fuzzy Numbers and Its Applications |
| title_full | Membership Score of an Interval-Valued Pythagorean Fuzzy Numbers and Its Applications |
| title_fullStr | Membership Score of an Interval-Valued Pythagorean Fuzzy Numbers and Its Applications |
| title_full_unstemmed | Membership Score of an Interval-Valued Pythagorean Fuzzy Numbers and Its Applications |
| title_short | Membership Score of an Interval-Valued Pythagorean Fuzzy Numbers and Its Applications |
| title_sort | membership score of an interval valued pythagorean fuzzy numbers and its applications |
| topic | Interval-valued Pythagorean fuzzy numbers improved accuracy score function membership score function MCDM |
| url | https://ieeexplore.ieee.org/document/10102474/ |
| work_keys_str_mv | AT melfiaalrasheedi membershipscoreofanintervalvaluedpythagoreanfuzzynumbersanditsapplications AT sjeevaraj membershipscoreofanintervalvaluedpythagoreanfuzzynumbersanditsapplications |