An Expanded Concept and Graph of Zadeh’s Algebraic Operations for 3-Dimensional Generalized Triangular Fuzzy Sets
Algebraic operators for fuzzy sets have been studied in 2-dimensional space. We define the algebraic operators between two 3-dimensional fuzzy sets and calculate the operators for the generalized 3-dimensional triangular fuzzy sets. To facilitate an understanding of the results in 3D, the values of...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/1663666 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832553652275904512 |
|---|---|
| author | Yong Sik Yun |
| author_facet | Yong Sik Yun |
| author_sort | Yong Sik Yun |
| collection | DOAJ |
| description | Algebraic operators for fuzzy sets have been studied in 2-dimensional space. We define the algebraic operators between two 3-dimensional fuzzy sets and calculate the operators for the generalized 3-dimensional triangular fuzzy sets. To facilitate an understanding of the results in 3D, the values of membership function are displayed in graphs using color density. We give various types of graphs of α-cuts. |
| format | Article |
| id | doaj-art-fd30597dbb2f4b08a6338799620374cf |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-fd30597dbb2f4b08a6338799620374cf2025-02-03T05:53:39ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/1663666An Expanded Concept and Graph of Zadeh’s Algebraic Operations for 3-Dimensional Generalized Triangular Fuzzy SetsYong Sik Yun0Department of MathematicsAlgebraic operators for fuzzy sets have been studied in 2-dimensional space. We define the algebraic operators between two 3-dimensional fuzzy sets and calculate the operators for the generalized 3-dimensional triangular fuzzy sets. To facilitate an understanding of the results in 3D, the values of membership function are displayed in graphs using color density. We give various types of graphs of α-cuts.http://dx.doi.org/10.1155/2022/1663666 |
| spellingShingle | Yong Sik Yun An Expanded Concept and Graph of Zadeh’s Algebraic Operations for 3-Dimensional Generalized Triangular Fuzzy Sets Journal of Mathematics |
| title | An Expanded Concept and Graph of Zadeh’s Algebraic Operations for 3-Dimensional Generalized Triangular Fuzzy Sets |
| title_full | An Expanded Concept and Graph of Zadeh’s Algebraic Operations for 3-Dimensional Generalized Triangular Fuzzy Sets |
| title_fullStr | An Expanded Concept and Graph of Zadeh’s Algebraic Operations for 3-Dimensional Generalized Triangular Fuzzy Sets |
| title_full_unstemmed | An Expanded Concept and Graph of Zadeh’s Algebraic Operations for 3-Dimensional Generalized Triangular Fuzzy Sets |
| title_short | An Expanded Concept and Graph of Zadeh’s Algebraic Operations for 3-Dimensional Generalized Triangular Fuzzy Sets |
| title_sort | expanded concept and graph of zadeh s algebraic operations for 3 dimensional generalized triangular fuzzy sets |
| url | http://dx.doi.org/10.1155/2022/1663666 |
| work_keys_str_mv | AT yongsikyun anexpandedconceptandgraphofzadehsalgebraicoperationsfor3dimensionalgeneralizedtriangularfuzzysets AT yongsikyun expandedconceptandgraphofzadehsalgebraicoperationsfor3dimensionalgeneralizedtriangularfuzzysets |