Fuzzy effect algebras and decomposition theorems | ||||
| Electronic Journal of Mathematical Analysis and Applications | ||||
| Volume 13, Issue 1, 2025, Page 1-9 PDF (475.23 K) | ||||
| Document Type: Regular research papers | ||||
| DOI: 10.21608/ejmaa.2024.301884.1234 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
AKHILESH KUMAR SINGH  1; SARVESH MISHRA2; MUKESH SHUKLA3
| ||||
| 1Department of APSH | ||||
| 2UNITED UNIVERSITY PRAYAGRAJ UP INDIA | ||||
| 3UNITED UNIVERSITY PRAYAGARAJ UP INDIA | ||||
| Abstract | ||||
| This paper delves the concept of charges on fuzzy effect algebras (FEAs). We explore the fundamental properties of charges on FEAs, providing a comprehensive analysis with its suitable examples. The space of all bounded charges on FEAs has also been explored. We prove Jordan decomposition theorem for charges on FEAs. Finally, we also prove Hahn decomposition theorem for charges defined on FEAs. This paper delves the concept of charges on fuzzy effect algebras (FEAs). We explore the fundamental properties of charges on FEAs, providing a comprehensive analysis with its suitable examples. The space of all bounded charges on FEAs has also been explored. We prove Jordan decomposition theorem for charges on FEAs. Finally, we also prove Hahn decomposition theorem for charges defined on FEAs. This paper delves the concept of charges on fuzzy effect algebras (FEAs). We explore the fundamental properties of charges on FEAs, providing a comprehensive analysis with its suitable examples. The space of all bounded charges on FEAs has also been explored. We prove Jordan decomposition theorem for charges on FEAs. Finally, we also prove Hahn decomposition theorem for charges defined on FEAs. | ||||
| Keywords | ||||
| charges; effect algebras; decomposition theorems | ||||
|
Statistics Article View: 146 PDF Download: 112 |
||||
