On the foundations of weak fuzzy complex-real functions
This paper aims to create a strong background of many algebraic structures dealing with Weak Fuzzy Complex (WFC) elements. So, we build a special transformation function that has an important role in working with variables from a Real number set instead of a WFC set. We study its algebraic propertie...
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| Format: | Article |
| Language: | English |
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Ayandegan Institute of Higher Education,
2024-03-01
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| Series: | Journal of Fuzzy Extension and Applications |
| Subjects: | |
| Online Access: | https://www.journal-fea.com/article_193081_92282d30d2b740d438e33d4ad6d9aad1.pdf |
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| _version_ | 1832577830643302400 |
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| author | Lama Razouk Suliman Mahmoud Mohamad Ali |
| author_facet | Lama Razouk Suliman Mahmoud Mohamad Ali |
| author_sort | Lama Razouk |
| collection | DOAJ |
| description | This paper aims to create a strong background of many algebraic structures dealing with Weak Fuzzy Complex (WFC) elements. So, we build a special transformation function that has an important role in working with variables from a Real number set instead of a WFC set. We study its algebraic properties and models. Also, we define the WFC function, its canonical formula, and its main establishments. Therefore, we show some famous functions and relations formulas in WFC variables. On the other hand, differentiability, integrability, and continuity of WFC functions in one variable will be presented in terms of theorems, and many related examples will be illustrated to clarify the validity of our work. |
| format | Article |
| id | doaj-art-a06eeb68362e4e329b253a29097306d3 |
| institution | Kabale University |
| issn | 2783-1442 2717-3453 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | Ayandegan Institute of Higher Education, |
| record_format | Article |
| series | Journal of Fuzzy Extension and Applications |
| spelling | doaj-art-a06eeb68362e4e329b253a29097306d32025-01-30T15:07:00ZengAyandegan Institute of Higher Education,Journal of Fuzzy Extension and Applications2783-14422717-34532024-03-015111614010.22105/jfea.2024.435955.1369193081On the foundations of weak fuzzy complex-real functionsLama Razouk0Suliman Mahmoud1Mohamad Ali2Department of Mathematics, Tishreen University, Latakia, Syria.Department of Mathematics, Tishreen University, Latakia, Syria.Department of Mathematics, Tishreen University, Latakia, Syria.This paper aims to create a strong background of many algebraic structures dealing with Weak Fuzzy Complex (WFC) elements. So, we build a special transformation function that has an important role in working with variables from a Real number set instead of a WFC set. We study its algebraic properties and models. Also, we define the WFC function, its canonical formula, and its main establishments. Therefore, we show some famous functions and relations formulas in WFC variables. On the other hand, differentiability, integrability, and continuity of WFC functions in one variable will be presented in terms of theorems, and many related examples will be illustrated to clarify the validity of our work.https://www.journal-fea.com/article_193081_92282d30d2b740d438e33d4ad6d9aad1.pdfweak fuzzy complex numbersweak fuzzy complex functionscartesian product |
| spellingShingle | Lama Razouk Suliman Mahmoud Mohamad Ali On the foundations of weak fuzzy complex-real functions Journal of Fuzzy Extension and Applications weak fuzzy complex numbers weak fuzzy complex functions cartesian product |
| title | On the foundations of weak fuzzy complex-real functions |
| title_full | On the foundations of weak fuzzy complex-real functions |
| title_fullStr | On the foundations of weak fuzzy complex-real functions |
| title_full_unstemmed | On the foundations of weak fuzzy complex-real functions |
| title_short | On the foundations of weak fuzzy complex-real functions |
| title_sort | on the foundations of weak fuzzy complex real functions |
| topic | weak fuzzy complex numbers weak fuzzy complex functions cartesian product |
| url | https://www.journal-fea.com/article_193081_92282d30d2b740d438e33d4ad6d9aad1.pdf |
| work_keys_str_mv | AT lamarazouk onthefoundationsofweakfuzzycomplexrealfunctions AT sulimanmahmoud onthefoundationsofweakfuzzycomplexrealfunctions AT mohamadali onthefoundationsofweakfuzzycomplexrealfunctions |