New Operators of Cubic Picture Fuzzy Information with Applications
The researcher has been facing problems while handling imprecise and vague information, i.e., the problems of networking, decision-making, etc. For encountering such complicated data, the notion of fuzzy sets (FS) has been considered an influential tool. The notion was extended to its generalization...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9938181 |
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| _version_ | 1832546998534799360 |
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| author | Tehreem Abdu Gumaei Amjad Hussain |
| author_facet | Tehreem Abdu Gumaei Amjad Hussain |
| author_sort | Tehreem |
| collection | DOAJ |
| description | The researcher has been facing problems while handling imprecise and vague information, i.e., the problems of networking, decision-making, etc. For encountering such complicated data, the notion of fuzzy sets (FS) has been considered an influential tool. The notion was extended to its generalizations by a number of researchers in different ways which helps to understand and assess even more complex issues. This article characterizes imprecision with four kinds of values of membership. In this work, we aim to define and examine cubic picture fuzzy sets and give an application on averaging aggregation operators. We first introduce the notion of a cubic picture fuzzy set, which is a pair of interval-valued picture fuzzy set and a picture fuzzy set by giving examples. Then, we define two kinds of ordering on these sets and also discuss some set-theoretical properties. Moreover, we introduce three kinds of averaging aggregation operators based on cubic picture fuzzy sets and, at the end, we illustrate the results with a decision-making problem by using one of the provided aggregation operators. |
| format | Article |
| id | doaj-art-2c660c7c8fe94ec49cbda7c6dae8ee96 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-2c660c7c8fe94ec49cbda7c6dae8ee962025-02-03T06:46:14ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/99381819938181New Operators of Cubic Picture Fuzzy Information with ApplicationsTehreem0Abdu Gumaei1Amjad Hussain2Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, PakistanResearch Chair of Pervasive and Mobile Computing, Department of Information Systems, College of Computer and Information Sciences, King Saud University, Riyadh 11543, Saudi ArabiaDepartment of Mathematics, Quaid-i-Azam University, Islamabad 45320, PakistanThe researcher has been facing problems while handling imprecise and vague information, i.e., the problems of networking, decision-making, etc. For encountering such complicated data, the notion of fuzzy sets (FS) has been considered an influential tool. The notion was extended to its generalizations by a number of researchers in different ways which helps to understand and assess even more complex issues. This article characterizes imprecision with four kinds of values of membership. In this work, we aim to define and examine cubic picture fuzzy sets and give an application on averaging aggregation operators. We first introduce the notion of a cubic picture fuzzy set, which is a pair of interval-valued picture fuzzy set and a picture fuzzy set by giving examples. Then, we define two kinds of ordering on these sets and also discuss some set-theoretical properties. Moreover, we introduce three kinds of averaging aggregation operators based on cubic picture fuzzy sets and, at the end, we illustrate the results with a decision-making problem by using one of the provided aggregation operators.http://dx.doi.org/10.1155/2021/9938181 |
| spellingShingle | Tehreem Abdu Gumaei Amjad Hussain New Operators of Cubic Picture Fuzzy Information with Applications Journal of Mathematics |
| title | New Operators of Cubic Picture Fuzzy Information with Applications |
| title_full | New Operators of Cubic Picture Fuzzy Information with Applications |
| title_fullStr | New Operators of Cubic Picture Fuzzy Information with Applications |
| title_full_unstemmed | New Operators of Cubic Picture Fuzzy Information with Applications |
| title_short | New Operators of Cubic Picture Fuzzy Information with Applications |
| title_sort | new operators of cubic picture fuzzy information with applications |
| url | http://dx.doi.org/10.1155/2021/9938181 |
| work_keys_str_mv | AT tehreem newoperatorsofcubicpicturefuzzyinformationwithapplications AT abdugumaei newoperatorsofcubicpicturefuzzyinformationwithapplications AT amjadhussain newoperatorsofcubicpicturefuzzyinformationwithapplications |