We derive the optimality results for key pre distribution scheme for distributed sensor networks, and relations between interesting parameters. Namely, given a key-pool of size n we derive the optimal value that is jointly achievable for parameters like, Size optimality: using less memory per node while supporting large network, Connectivity optimality: possibility of establishing secure commun...

Considering a commutative unital quantale L as the truth value table and using the tool of L-generalized convergence structures of stratified L-filters, this paper introduces a kind of fuzzy upper topology, called fuzzy S-upper topology, on L-preordered sets. It is shown that every fuzzy join-preserving L-subset is open in this topology. When L is a complete Heyting algebra, for every completel...

The paper presents the calibration and application of a simulation-based dynamic traffic assignment (DTA) model on a portion of the City of Calgary road network in Alberta, Canada. The DTA model iteratively re-assigns flow to paths using the Method of Successive Averages (MSA), based on travel times obtained with a traffic simulation model. The original sub-network extracted from a regional pla...

in this paper‎, ‎we introduce a new model of point free topology‎ ‎for point-set topology‎. ‎we study the basic concepts in this‎ ‎structure and will find that it is naturally close to point-set‎ ‎topology‎.‎

this paper introduces a new approach to topology, based on category theory and universal algebra, and called categorically-algebraic (catalg) topology. it incorporates the most important settings of lattice-valued topology, including poslat topology of s.~e.~rodabaugh, $(l,m)$-fuzzy topology of t.~kubiak and a.~v{s}ostak, and $m$-fuzzy topology on $l$-fuzzy sets of c.~guido. moreover, its respe...