Fuzzy effect algebras and decomposition theorems

Document Type : Regular research papers

Authors

1 Department of APSH

2 UNITED UNIVERSITY PRAYAGRAJ UP INDIA

3 UNITED 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.

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History

  • Receive Date: 05 July 2024
  • Revise Date: 13 August 2024
  • Accept Date: 15 December 2024

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