In this paper, we will define an L-fuzzifying preuniform structure based on way below relation (or L-fuzzifying preuniform structure) and study their properties. Also, the concept of interior and closure operators in L-fuzzifying setting were established. Furthermore, the relation between L-fuzzifying preuniform and L-fuzzifying topology were explained.

The aim of this paper is to present and make a preliminary study of a new -fuzzy (K, E)-soft topology  from old -fuzzy (K, E)-soft topology T  via L-fuzzy (K, E)-soft grill G  induced by L-fuzzy soft operators     .

© 2020 Pushpa Publishing House, Prayagraj, India

http://dx.doi.org/10.17654/FS025010058

This paper defines a new class of L-fuzzy sets called r-L-fuzzy biconvex sets in (L; M)-fuzzy convex structures (X; C); where C is an (L; M)-fuzzy convexity on X; and some of their properties were studied. In addition, we introduce (L; M)-fuzzy topological convexity space and study some of its properties. Finally, we introduce locally (L; M)-fuzzy topology (L; M)-fuzzy convexity space and study some of its properties.

@ Faculty of Sciences and Mathematics, University of NIŠ, Serbia.

https://doi.org/10.2298/FIL1913151S

The current paper aims at studying soft Js-spaces and strong soft Js- spaces. It focuses on two related classes of spaces with certain basic defining features. The results indicate that in closed and perfect functions, soft J-spaces have natural categorizations. Furthermore, we prove that soft Js-spaces and strong soft Js- spaces coincide in the presence of soft local connectedness.

@2019 IEEE

 

The aim of this paper is to study some concepts in soft ideal topological spaces related to soft pre ideal open sets. Also, the concepts of a soft pre ideal neighborhood, a soft pre ideal limit point, a soft pre ideal frontier, a soft pre ideal exterior and a soft pre ideal border of a soft set are investigated.

 

In this paper, we apply the concept of soft sets to δ-open set and δ-closed set. The associated soft δ-topology in terms of soft δ-open sets were introduced and some properties of them were investigated. Moreover, the definitions, characterizations and basic results concerning soft δ-interior, soft δ-closure, soft δ-boundary and soft δ-exterior were given. Finally, the concept of soft pu-δ- continuity was defined and some properties of it were introduced.

©2018 Ramadhan A. Mohammed, O. R. Sayed, A. Eliow.