An Extended Type-2 Fuzzy Relational Database Model for Aggregate and Grouping Operations
This paper introduces an extended type-2 fuzzy relational database model (ET-2FRDB) for aggregate and grouping operations that can represent and query uncertain and imprecise information in the real world applications. In ET-2FRDB, each fuzzy relation is represented by a type-2 fuzzy set whose memb...
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| Format: | Article |
| Language: | English |
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Penteract Technology
2023-08-01
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| Series: | Malaysian Journal of Science and Advanced Technology |
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| Online Access: | https://mjsat.com.my/index.php/mjsat/article/view/169 |
| _version_ | 1797736995735207936 |
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| author | Hoa Nguyen |
| author_facet | Hoa Nguyen |
| author_sort | Hoa Nguyen |
| collection | DOAJ |
| description |
This paper introduces an extended type-2 fuzzy relational database model (ET-2FRDB) for aggregate and grouping operations that can represent and query uncertain and imprecise information in the real world applications. In ET-2FRDB, each fuzzy relation is represented by a type-2 fuzzy set whose membership degree of each tuple is a fuzzy number on [0, 1], the fuzzy aggregate functions, the fuzzy relational algebraic, aggregate and grouping operations are defined as extensions of those in the classical relational database model thereby the membership degree of tuples associated by using the minimum and maximum of fuzzy numbers. Also, some properties of the fuzzy relational algebraic, aggregate and grouping operations in ET-2FRDB are formulated and proven.
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| first_indexed | 2024-03-12T13:22:00Z |
| format | Article |
| id | doaj.art-0d3075d0e95c49339f19710efa18b2ef |
| institution | Directory Open Access Journal |
| issn | 2785-8901 |
| language | English |
| last_indexed | 2024-03-12T13:22:00Z |
| publishDate | 2023-08-01 |
| publisher | Penteract Technology |
| record_format | Article |
| series | Malaysian Journal of Science and Advanced Technology |
| spelling | doaj.art-0d3075d0e95c49339f19710efa18b2ef2023-08-25T14:40:59ZengPenteract TechnologyMalaysian Journal of Science and Advanced Technology2785-89012023-08-013310.56532/mjsat.v3i3.169An Extended Type-2 Fuzzy Relational Database Model for Aggregate and Grouping OperationsHoa Nguyen0Information Technology Faculty, Saigon University, Vietnam This paper introduces an extended type-2 fuzzy relational database model (ET-2FRDB) for aggregate and grouping operations that can represent and query uncertain and imprecise information in the real world applications. In ET-2FRDB, each fuzzy relation is represented by a type-2 fuzzy set whose membership degree of each tuple is a fuzzy number on [0, 1], the fuzzy aggregate functions, the fuzzy relational algebraic, aggregate and grouping operations are defined as extensions of those in the classical relational database model thereby the membership degree of tuples associated by using the minimum and maximum of fuzzy numbers. Also, some properties of the fuzzy relational algebraic, aggregate and grouping operations in ET-2FRDB are formulated and proven. https://mjsat.com.my/index.php/mjsat/article/view/169Fuzzy numberType-2 fuzzy setType-2 fuzzy relationFuzzy aggregate functionET-2FRDB model |
| spellingShingle | Hoa Nguyen An Extended Type-2 Fuzzy Relational Database Model for Aggregate and Grouping Operations Malaysian Journal of Science and Advanced Technology Fuzzy number Type-2 fuzzy set Type-2 fuzzy relation Fuzzy aggregate function ET-2FRDB model |
| title | An Extended Type-2 Fuzzy Relational Database Model for Aggregate and Grouping Operations |
| title_full | An Extended Type-2 Fuzzy Relational Database Model for Aggregate and Grouping Operations |
| title_fullStr | An Extended Type-2 Fuzzy Relational Database Model for Aggregate and Grouping Operations |
| title_full_unstemmed | An Extended Type-2 Fuzzy Relational Database Model for Aggregate and Grouping Operations |
| title_short | An Extended Type-2 Fuzzy Relational Database Model for Aggregate and Grouping Operations |
| title_sort | extended type 2 fuzzy relational database model for aggregate and grouping operations |
| topic | Fuzzy number Type-2 fuzzy set Type-2 fuzzy relation Fuzzy aggregate function ET-2FRDB model |
| url | https://mjsat.com.my/index.php/mjsat/article/view/169 |
| work_keys_str_mv | AT hoanguyen anextendedtype2fuzzyrelationaldatabasemodelforaggregateandgroupingoperations AT hoanguyen extendedtype2fuzzyrelationaldatabasemodelforaggregateandgroupingoperations |