Nano $\delta$ open sets and their notions

Khedr PROPERTIES OF ij − DELTA OPEN SETS

The notion of δ−open sets in bitopological spaces was introduced by Banerjee [2]. In this paper we more investigate ij− δ−open sets. We study some sets related to ij− δ−open sets. Also, we study some separation axioms in bitopological spaces based on ij − δ−open sets.

Finiteness notions in fuzzy sets

Finite sets are one of the most fundamental mathematical structures. In the absence of the axiom of choice there are many different inequivalent definitions of finite even in classical logic. When we allow incomplete existence as in fuzzy sets the situation gets even more complicated. This paper gives nine distinct definitions of finite in a fuzzy context together with examples showing how the ...

On Pre-θ-Open Sets and Two Classes of Functions

Some results on maximal open sets

In this paper, the notion of maximal m-open set is introduced and itsproperties are investigated. Some results about existence of maximal m-open setsare given. Moreover, the relations between maximal m-open sets in an m-spaceand maximal open sets in the corresponding generated topology are considered.Our results are supported by examples and counterexamples.

Semi-θ-Open Sets and New Classes of Maps