σ-Algebra and σ-Baire in Fuzzy Soft Setting

Author:

Khalil Shuker Mahmood1ORCID,Ulrazaq Mayadah1,Abdul-Ghani Samaher1,Al-Musawi Abu Firas1

Affiliation:

1. Department of Mathematics, College of Science, University of Basrah, Basrah 61004, Iraq

Abstract

We first introduce some new notions of Baireness in fuzzy soft topological space (FSTS). Next, their characterizations and basic properties are investigated in this work. The notions of fuzzy soft dense, fuzzy soft nowhere dense, fuzzy soft meager, fuzzy soft second category, fuzzy soft residual, fuzzy soft Baire, fuzzy soft δ-sets, fuzzy soft λσ-sets, fuzzy soft σ-nowhere dense, fuzzy soft σ-meager, fuzzy soft σ-residual, fuzzy soft σ-Baire, fuzzy soft σ-second category, fuzzy soft σ-residual, fuzzy, fuzzy soft submaximal space, fuzzy soft P-space, fuzzy soft almost resolvable space, fuzzy soft hyperconnected space, fuzzy soft A-embedded, fuzzy soft D-Baire, fuzzy soft almost P-spaces, fuzzy soft Borel, and fuzzy soft σ-algebra are introduced. Furthermore, several examples are shown as well.

Publisher

Hindawi Limited

Subject

Computational Mathematics,Control and Optimization,Control and Systems Engineering

Reference28 articles.

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