Evaluation of the Economic Relationships on the Basis of Statistical Decision-Making in Complex Neutrosophic Environment
Fuzzy sets and fuzzy logics are used to model events with imprecise, incomplete, and uncertain information. Researchers have developed numerous methods and techniques to cope with fuzziness or uncertainty. This research intends to introduce the novel concepts of complex neutrosophic relations (CNRs)...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/5595474 |
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| _version_ | 1832547626344513536 |
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| author | Abdul Nasir Naeem Jan Abdu Gumaei Sami Ullah Khan Mabrook Al-Rakhami |
| author_facet | Abdul Nasir Naeem Jan Abdu Gumaei Sami Ullah Khan Mabrook Al-Rakhami |
| author_sort | Abdul Nasir |
| collection | DOAJ |
| description | Fuzzy sets and fuzzy logics are used to model events with imprecise, incomplete, and uncertain information. Researchers have developed numerous methods and techniques to cope with fuzziness or uncertainty. This research intends to introduce the novel concepts of complex neutrosophic relations (CNRs) and its types based on the idea of complex neutrosophic sets (CNSs). In addition, these concepts are supported by suitable examples. A CNR discusses the quality of a relationship using the degree of membership, the degree of abstinence, and the degree of nonmembership. Each of these degrees is a complex number from the unit circle in a complex plane. The real part of complex-valued degrees represents the amplitude term, while the imaginary part represents the phase term. This property empowers CNRs to model multidimensional variables. Moreover, some interesting properties and useful results have also been proved. Furthermore, the practicality of the proposed concepts is verified by an application, which discusses the use of the proposed concepts in statistical decision-making. Additionally, a comparative analysis between the novel concepts of CNRs and the existing methods is carried out. |
| format | Article |
| id | doaj-art-3617ca2bd689483ab5a7cc266d1c8085 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-3617ca2bd689483ab5a7cc266d1c80852025-02-03T06:43:55ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/55954745595474Evaluation of the Economic Relationships on the Basis of Statistical Decision-Making in Complex Neutrosophic EnvironmentAbdul Nasir0Naeem Jan1Abdu Gumaei2Sami Ullah Khan3Mabrook Al-Rakhami4Department of Mathematics, Institute of Numerical Sciences, Gomal University, Dera Ismail Khan 29050, KPK, PakistanDepartment of Mathematics, Institute of Numerical Sciences, Gomal University, Dera Ismail Khan 29050, KPK, PakistanComputer Science Department, Faculty of Applied Sciences, Taiz University, Taiz 6803, YemenDepartment of Mathematics, Institute of Numerical Sciences, Gomal University, Dera Ismail Khan 29050, KPK, PakistanResearch Chair of Pervasive and Mobile Computing, Department of Information Systems, College of Computer and Information Sciences, King Saud University, Riyadh 11543, Saudi ArabiaFuzzy sets and fuzzy logics are used to model events with imprecise, incomplete, and uncertain information. Researchers have developed numerous methods and techniques to cope with fuzziness or uncertainty. This research intends to introduce the novel concepts of complex neutrosophic relations (CNRs) and its types based on the idea of complex neutrosophic sets (CNSs). In addition, these concepts are supported by suitable examples. A CNR discusses the quality of a relationship using the degree of membership, the degree of abstinence, and the degree of nonmembership. Each of these degrees is a complex number from the unit circle in a complex plane. The real part of complex-valued degrees represents the amplitude term, while the imaginary part represents the phase term. This property empowers CNRs to model multidimensional variables. Moreover, some interesting properties and useful results have also been proved. Furthermore, the practicality of the proposed concepts is verified by an application, which discusses the use of the proposed concepts in statistical decision-making. Additionally, a comparative analysis between the novel concepts of CNRs and the existing methods is carried out.http://dx.doi.org/10.1155/2021/5595474 |
| spellingShingle | Abdul Nasir Naeem Jan Abdu Gumaei Sami Ullah Khan Mabrook Al-Rakhami Evaluation of the Economic Relationships on the Basis of Statistical Decision-Making in Complex Neutrosophic Environment Complexity |
| title | Evaluation of the Economic Relationships on the Basis of Statistical Decision-Making in Complex Neutrosophic Environment |
| title_full | Evaluation of the Economic Relationships on the Basis of Statistical Decision-Making in Complex Neutrosophic Environment |
| title_fullStr | Evaluation of the Economic Relationships on the Basis of Statistical Decision-Making in Complex Neutrosophic Environment |
| title_full_unstemmed | Evaluation of the Economic Relationships on the Basis of Statistical Decision-Making in Complex Neutrosophic Environment |
| title_short | Evaluation of the Economic Relationships on the Basis of Statistical Decision-Making in Complex Neutrosophic Environment |
| title_sort | evaluation of the economic relationships on the basis of statistical decision making in complex neutrosophic environment |
| url | http://dx.doi.org/10.1155/2021/5595474 |
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