Fuzzy Effect Algebras and Decomposition Theorems


Sarvesh Kumar Mishra
United University-211012 U.P
Mukesh Kumar Shukla
United Institute of Technology, Allahabad-211010 U.P.
Akhilesh Kumar Singh
Department of Applied Sciences and Humanities Kamla Nehru Institute of Technology, Sultanpur-228118 U.P.


In the present paper, we introduce and investigate charges on fuzzy effect algebras. We also investigate the relation between charges and measures on fuzzy effect algebras. Finally we prove Jordan and Hahn decomposition theorems for charges defined on fuzzy effect algebras. We give numerous examples in the support of the concepts. Keywords: charges, effect algebras, decomposition theorems

RAMSA 2024
February 29, 2024