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399634

Fuzzy effect algebras and decomposition theorems

Article

Last updated: 05 Jan 2025

Subjects

-

Tags

Mathematical analysis.

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.

DOI

10.21608/ejmaa.2024.301884.1234

Keywords

charges, effect algebras, decomposition theorems

Authors

First Name

AKHILESH

Last Name

SINGH

MiddleName

KUMAR

Affiliation

Department of APSH

Email

au.akhilesh@gmail.com

City

Sultanpur

Orcid

-

First Name

SARVESH

Last Name

MISHRA

MiddleName

-

Affiliation

UNITED UNIVERSITY PRAYAGRAJ UP INDIA

Email

sarveshkumarmishra.phdmt21@uniteduniversity.edu.in

City

-

Orcid

-

First Name

MUKESH

Last Name

SHUKLA

MiddleName

-

Affiliation

UNITED UNIVERSITY PRAYAGARAJ UP INDIA

Email

mukesh.shukla@united.edu.in

City

-

Orcid

-

Volume

13

Article Issue

1

Related Issue

51150

Issue Date

2025-01-01

Receive Date

2024-07-05

Publish Date

2025-01-01

Page Start

1

Page End

9

Print ISSN

3009-6731

Online ISSN

2090-729X

Link

https://ejmaa.journals.ekb.eg/article_399634.html

Detail API

https://ejmaa.journals.ekb.eg/service?article_code=399634

Order

399,634

Type

Regular research papers

Type Code

2,651

Publication Type

Journal

Publication Title

Electronic Journal of Mathematical Analysis and Applications

Publication Link

https://ejmaa.journals.ekb.eg/

MainTitle

Fuzzy effect algebras and decomposition theorems

Details

Type

Article

Created At

29 Dec 2024