Nest sets and relativized closure properties

Closure, Properties and Closure Properties of Multirelations

Relativized Topological Size of Sets of Partial Recursive Functions

Calude, C., Relativized topological size of sets of partial recursive functions (Note), Theoretical Computer Science 87 (1991) 347-352. In [ 11, a recursive topology on the set of unary partial recursive functions was introduced and recursive variants of Baire topological notions of nowhere dense and meagre sets were defined. These tools were used to measure the size of some classes of partial ...

Relativized codes

A code C over an alphabet Σ is a set of words such that every word in C+ has a unique factorization over C, that is, a unique C-decoding. When not all words in C+ appear as messages, a weaker notion of unique factorization can be used. Thus we consider codes C relative to a given set of messages L, such that each word in L has a unique C-decoding. We extend this idea of relativizing code concep...

δ-closure, θ-closure and generalized closed sets

We study some new classes of generalized closed sets (in the sense of N. Levine) in a topological space via the associated δ-closure and θ-closure. The relationships among these new classes and existing classes of generalized closed sets are investigated. In the last section we provide an extensive and more or less complete survey on separation axioms characterized via singletons. 2000 AMS Clas...

Interval Type-2 Fuzzy Rough Sets and Interval Type-2 Fuzzy Closure Spaces

The purpose of the present work is to establish a one-to-one correspondence between the family of interval type-2 fuzzy reflexive/tolerance approximation spaces and the family of interval type-2 fuzzy closure spaces.