English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this article, we will define the new notions (e.g.,  b − θ -neighborhood system of point,  b − θ -closure (interior) of a set, and  b − θ -closed (open) set) based on fuzzy logic (i.e., fuzzifying topology). Then, we will explain the interesting properties of the above five notions in detail. Several basic results (for instance, Definition 7, Theorem 3 (iii), (v), and (vi), Theorem 5, Theorem 9, and Theorem 4.6) in classical topology are generalized in fuzzy logic. In addition to, we will show that every fuzzifying  b − θ -closed set is fuzzifying  γ -closed set (by Theorem 3 (vi)). Further, we will study the notion of fuzzifying  b − θ -derived set and fuzzifying  b − θ -boundary set and discuss several of their fundamental basic relations and properties. Also, we will present a new type of fuzzifying strongly  b − θ -continuous mapping between two fuzzifying topological spaces. Finally, several characterizations of fuzzifying strongly  b − θ -continuous mapping, fuzzifying strongly  b − θ -irresolute mapping, and fuzzifying weakly  b − θ -irresolute mapping along with different conditions for their existence are obtained.

mathematical problems in engineering

On Strongly <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>b</mi> <mo>−</mo> <mi>θ</mi> </math>-Continuous Mappings in Fuzzifying Topology

On Strongly b − θ -Continuous Mappings in Fuzzifying Topology

On Strongly $b - θ$ -Continuous Mappings in Fuzzifying Topology