In this paper, we introduce and study the notion of regular generalized –γ– closed sets. Also, some of their properties are investigated. Further, the notion of regular generalized –γ– open sets and the notion of regular generalized –γ– neighbourhood are discussed. Moreover, some of its basic properties are introduced. Finally, we give an applications of rgγ–closed sets, say γ–regular 1 2 T spa...

Discovering interesting patterns in transactional databases is often a challenging area by the length of patterns and number of transactions in data mining, which is prohibitively expensive in both time and space. Closed itemset mining is introduced from traditional frequent pattern mining and having its own importance in data mining applications. Recently, regular itemset mining gained lot of ...

Machines whose main purpose is to permute and sort data are studied. The sets of permutations that can arise are analysed by means of nite automata and avoided pattern techniques. Conditions are given for these sets being enumerated by rational generating functions.

The paper considers algebraic directed-complete partial orders with a semi-regular Scott topology, called regular domains. As is well known, the category of Scott domains and continuous maps is Cartesian closed. This is no longer true, if the domains are required to be regular. Two Cartesian closed subcategories of the regular Scott domains are exhibited: regular dI-domains with stable maps and...

The aim of this paper is to introduce fuzzy ($e$, almost) $e^{*}$-regular spaces in $check{S}$ostak's fuzzy topological spaces. Using the $r$-fuzzy $e$-closed sets, we define $r$-($r$-$theta$-, $r$-$etheta$-) $e$-cluster points and their properties. Moreover, we investigate the relations among $r$-($r$-$theta$-, $r$-$etheta$-) $e$-cluster points, $r$-fuzzy ($e$, almost) $e^{*}$-regular spaces a...