The concept of γ-semi-regular-open sets and γ-sclosed spaces have been introduced and explored in [6]. In this paper, we continue studying the properties and characterizations of γ-semi-regular open sets and γ-s-closed spaces.

In this article we present a semi-supervised algorithm for pattern discovery in information extraction from textual data. The patterns that are discovered take the form of regular expressions that generate regular languages. We term our approach ‘semi-supervised’ because it requires significantly less effort to develop a training set than other approaches. From the training data our algorithm a...

Shabir and Naz in [27] introduced the notion of soft topological spaces. They defined soft topology on the collection τ of soft sets over X . Consequently, they defined soft separation axioms, soft regular spaces and soft normal spaces and established their several properties. Min in [30] investigate some properties of these soft separation axioms. Kandil et al. [12] introduce the notion of sof...

The security of multivariate cryptosystems and digital signature schemes relies on the hardness solving a system polynomial equations over finite field. Polynomial is also currently bottleneck index-calculus algorithms to solve elliptic hyperelliptic curve discrete logarithm problem. complexity closely related cost computing Gröbner bases, since solutions can be reduced finding lexicographic ba...