Distributed hash table (DHT) based overlay networks offer an administration-free and fault-tolerant storage space that maps “keys” to “values”. For these systems to function efficiently, their structures must fit that of the underlying network. Existing techniques for discovering network proximity information, such as landmark clustering and expanding-ring search are either inaccurate or expens...

Distributed hash table (DHT) based overlay networks offer an administration-free and fault-tolerant storage space that maps “keys” to “values”. For these systems to function efficiently, their structures must fit that of the underlying network. Existing techniques for discovering network proximity information, such as landmark clustering and expanding-ring search are either inaccurate or expens...

Fuzzy relations are mappings from pairs of elements into the interval [0, 1]. As a replacement for the complement operation one can use the mapping that sends x to 1 − x. Together with the concepts of t-norm and t-conorm a weak form of Boolean algebra can be defined. However, to our knowledge so far no notion of domain or codomain has been investigated for fuzzy relations. These might, however,...

There are many symmetries in intuitionistic fuzzifying topology. In the present paper, notion of topology as an extension and a preliminary research on bi-intuitionistic fuzzy is introduced. A theory with semantic method logic established.

The Constraint Hierarchy (CH) framework is used to tackle multiple criteria selection (MCS), consisting of a set of candidates and a set of, possibly competing, criteria for selecting the \best" candidate(s). In this paper, we identify aspects of the CH framework for further enhancement so as to model and solve MCS problems more accurately. We propose the Fuzzy Constraint Hierarchies framework,...

The aim of this paper is to study the categorical relations betweenmatroids, Goetschel-Voxman’s fuzzy matroids and Shi’s fuzzifying matroids.It is shown that the category of fuzzifying matroids is isomorphic to that ofclosed fuzzy matroids and the latter is concretely coreflective in the categoryof fuzzy matroids. The category of matroids can be embedded in that offuzzifying matroids as a simul...