Investigation of Financial Track Records by Using Some Novel Concepts of Complex q-Rung Orthopair Fuzzy Information
The involution of complex numbers in the theory of fuzzy sets (FSs) opened the gates for many new ideas. In a complex fuzzy set (CFS), the level of membership attains values from the unit circle in a complex plane. Since the level of membership is a complex number, it is expressed in a form consisti...
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| Format: | Article |
| Language: | English |
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IEEE
2021-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9600830/ |
| _version_ | 1811274077060464640 |
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| author | Abdul Nasir Naeem Jan Jeonghwan Gwak Sami Ullah Khan |
| author_facet | Abdul Nasir Naeem Jan Jeonghwan Gwak Sami Ullah Khan |
| author_sort | Abdul Nasir |
| collection | DOAJ |
| description | The involution of complex numbers in the theory of fuzzy sets (FSs) opened the gates for many new ideas. In a complex fuzzy set (CFS), the level of membership attains values from the unit circle in a complex plane. Since the level of membership is a complex number, it is expressed in a form consisting of two parts called the amplitude term and the phase term. This complex structure allows modeling multivariable problems such as problems with periodicity and phase changes. This article studies the complex q-rung orthopair fuzzy sets (CqROFSs) and discovers the innovative concept of complex q-rung orthopair fuzzy relations (CqROFRs) which can deal with a wide range of information, including; fuzzy, complex fuzzy, complex intuitionistic, complex Pythagorean and q-rung orthopair fuzzy information. Moreover, the types of relations are defined with examples and interesting properties. Furthermore, this article also proposes a method based on CqROFRs for modeling the financial track records of business companies. In addition, the applications of the proposed concepts have been presented, which discuss the internal effects of different parameters and factors on the business that might help the sponsors to make the most out of their funds and investments. Another application deliberates the external impacts, i.e., influences of one business over other businesses and provides valuable information to stakeholders which will enable them to identify the key factors for making their business efficient. The results acquired by using the CqROFRs were excellent and more pleasing than other structures in the literature. This flexibility of the proposed framework and the verification of its advantages for solving the application problems is verified through a comprehensive comparative study. |
| first_indexed | 2024-04-12T23:11:21Z |
| format | Article |
| id | doaj.art-213f4ef52b9749d2b01df3567ce84530 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-12T23:11:21Z |
| publishDate | 2021-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-213f4ef52b9749d2b01df3567ce845302022-12-22T03:12:47ZengIEEEIEEE Access2169-35362021-01-01915285715287710.1109/ACCESS.2021.31253839600830Investigation of Financial Track Records by Using Some Novel Concepts of Complex q-Rung Orthopair Fuzzy InformationAbdul Nasir0https://orcid.org/0000-0001-8677-5840Naeem Jan1Jeonghwan Gwak2https://orcid.org/0000-0002-6237-0141Sami Ullah Khan3https://orcid.org/0000-0002-9185-5682Department of Mathematics, Institute of Numerical Sciences, Gomal University, Dera Ismail Khan, Khyber Pakhtoonkhwa, PakistanDepartment of Mathematics, Institute of Numerical Sciences, Gomal University, Dera Ismail Khan, Khyber Pakhtoonkhwa, PakistanDepartment of Software, Korea National University of Transportation, Chungju, South KoreaDepartment of Mathematics, Institute of Numerical Sciences, Gomal University, Dera Ismail Khan, Khyber Pakhtoonkhwa, PakistanThe involution of complex numbers in the theory of fuzzy sets (FSs) opened the gates for many new ideas. In a complex fuzzy set (CFS), the level of membership attains values from the unit circle in a complex plane. Since the level of membership is a complex number, it is expressed in a form consisting of two parts called the amplitude term and the phase term. This complex structure allows modeling multivariable problems such as problems with periodicity and phase changes. This article studies the complex q-rung orthopair fuzzy sets (CqROFSs) and discovers the innovative concept of complex q-rung orthopair fuzzy relations (CqROFRs) which can deal with a wide range of information, including; fuzzy, complex fuzzy, complex intuitionistic, complex Pythagorean and q-rung orthopair fuzzy information. Moreover, the types of relations are defined with examples and interesting properties. Furthermore, this article also proposes a method based on CqROFRs for modeling the financial track records of business companies. In addition, the applications of the proposed concepts have been presented, which discuss the internal effects of different parameters and factors on the business that might help the sponsors to make the most out of their funds and investments. Another application deliberates the external impacts, i.e., influences of one business over other businesses and provides valuable information to stakeholders which will enable them to identify the key factors for making their business efficient. The results acquired by using the CqROFRs were excellent and more pleasing than other structures in the literature. This flexibility of the proposed framework and the verification of its advantages for solving the application problems is verified through a comprehensive comparative study.https://ieeexplore.ieee.org/document/9600830/Complex q-rung orthopair composite fuzzy relationcomplex q-rung orthopair equivalence fuzzy relationcomplex q-rung orthopair fuzzy relationcomplex q-rung orthopair fuzzy setfinancial track record |
| spellingShingle | Abdul Nasir Naeem Jan Jeonghwan Gwak Sami Ullah Khan Investigation of Financial Track Records by Using Some Novel Concepts of Complex q-Rung Orthopair Fuzzy Information IEEE Access Complex q-rung orthopair composite fuzzy relation complex q-rung orthopair equivalence fuzzy relation complex q-rung orthopair fuzzy relation complex q-rung orthopair fuzzy set financial track record |
| title | Investigation of Financial Track Records by Using Some Novel Concepts of Complex q-Rung Orthopair Fuzzy Information |
| title_full | Investigation of Financial Track Records by Using Some Novel Concepts of Complex q-Rung Orthopair Fuzzy Information |
| title_fullStr | Investigation of Financial Track Records by Using Some Novel Concepts of Complex q-Rung Orthopair Fuzzy Information |
| title_full_unstemmed | Investigation of Financial Track Records by Using Some Novel Concepts of Complex q-Rung Orthopair Fuzzy Information |
| title_short | Investigation of Financial Track Records by Using Some Novel Concepts of Complex q-Rung Orthopair Fuzzy Information |
| title_sort | investigation of financial track records by using some novel concepts of complex q rung orthopair fuzzy information |
| topic | Complex q-rung orthopair composite fuzzy relation complex q-rung orthopair equivalence fuzzy relation complex q-rung orthopair fuzzy relation complex q-rung orthopair fuzzy set financial track record |
| url | https://ieeexplore.ieee.org/document/9600830/ |
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