The collection of all subsets of a set forms a Boolean algebra under the usual set theoretic operations, while the collection of rough sets of an approximation space is a regular double Stone algebra [24]. The appropriate class of algebras for classical propositional logic are Boolean algebras, and it is reasonable to assume that regular double Stone algebras are a class of algebras appropriate...

We express the Segre class of a monomial scheme—or, more generally, a scheme monomially supported on a set of divisors cutting out complete intersections— in terms of an integral computed over an associated body in euclidean space. The formula is in the spirit of the classical Bernstein-Kouchnirenko theorem computing intersection numbers of equivariant divisors in a torus in terms of mixed volu...

A classical-like combinatorial interpretation of the Fibonomial coefficients is provided following [1,2]. An adequate combinatorial interpretation of recurrence satisfied by Fibonomial coefficients is also proposed. It is considered to be in the spirit classicalcombinatorial interpretation like binomial Newton and Gauss q-binomial coefficients or Stirling number of both kinds are. (See ref. [3,...