Soft ideal topological space and mixed fuzzy soft ideal topological space

• Main Authors: Manash Borah, Bipan Hazarika
• Format: Article
• Language: English
• Published: Sociedade Brasileira de Matemática 2019-01-01
• Series: Boletim da Sociedade Paranaense de Matemática
• Subjects: Fuzzy soft sets; fuzzy soft ideal; mixed fuzzy soft topology; soft open set; soft semi-open set
• Online Access: http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/29647
• ISSN: 0037-8712; 2175-1188

In this paper we introduce fuzzy soft ideal and mixed fuzzy soft ideal topological spaces and some properties of this space. Also we introduce fuzzy soft $I$-open set, fuzzy soft $\alpha$-$I$-open set, fuzzy soft pre-$I$-open set, fuzzy soft semi-$I$-open set and fuzzy soft $\beta$-$I$-open set and discuss some of their properties.