New class of edge delta-algebras in soft setting with power sets

AIP conference proceedings 2026

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Authors: Azeez Lafta Jaber, Shuker Khalil
DOI: 10.1063/5.0317888
Cited by: 0
References: 25

Abstract

The 𝛿 βˆ’algebra of the power set (π›Ώβˆ’π΄π‘‚π‘ƒπ‘†) is introduced and defined in this study along with several new advancements derived from it, including Ξ΄-subalgebra (π›Ώβˆ’π‘†π΄), soft 𝛿 βˆ’algebra (SΞ΄-A), soft 𝛿 βˆ’subalgebra (π‘†π›Ώβˆ’π‘†π΄), and soft edge 𝛿 βˆ’algebra (π‘†πΈπ›Ώβˆ’π΄). Furthermore, we show by an example that the power set (𝐡𝐢𝐾/π‘‘βˆ—βˆ’π΄π‘‚π‘ƒπ‘†) does not require a (π›Ώβˆ’π΄π‘‚π‘ƒπ‘†) to be a 𝐡𝐢𝐾/π‘‘βˆ— βˆ’algebra. Additionally, examples of similar cases are provided to illustrate the novel concepts and outcomes in this work.

Fields of Study & Subjects

Fuzzy and Soft Set Theory Advanced Algebra and Logic Rough Sets and Fuzzy Logic

Publication details

Journal / source
AIP conference proceedings
Volume
3393
Pages
070010–070010
Publication date
1 January 2026
Language
EN