A wireless sensor network (WSN) has a wide range of important applications such as remote environment monitoring , target tracking etc. This has been enabled by the availability of sensors that are smaller, cheaper and intelligent. These sensor nodes are equipped with wireless interfaces with which they can communicate with one another to form a network. The design of a WSN depends significantl...

In “Bulgarian Solitaire”, a player divides a deck of n cards into piles. Each move consists of taking a card from each pile to form a single new pile. One is concerned only with how many piles there are of each size. Starting from any division into piles, one always reaches some cycle of partitions of n. Brandt proved that for n = 1+2+ · · ·+k, the cycle is just the single partition into piles ...

In this paper, optimization of a linear objective function with fuzzy relational inequality constraints is investigated where the feasible region is formed as the intersection of two inequality fuzzy systems and Yager family of t-norms is considered as fuzzy composition. Yager family of t-norms is a parametric family of continuous nilpotent t-norms which is also one of the most frequently appli...

In this paper, optimization of a linear objective function with fuzzy relational inequality constraints is investigated where the feasible region is formed as the intersection of two inequality fuzzy systems and Dombi family of t-norms is considered as fuzzy composition. Dombi family of t-norms includes a parametric family of continuous strict t-norms, whose members are increasing functions of ...

In this paper, optimization of a linear objective function with fuzzy relational inequality constraints is investigated where the feasible region is formed as the intersection of two inequality fuzzy systems and Hamacher family of t-norms is considered as fuzzy composition. Hamacher family of t-norms is a parametric family of continuous strict t-norms, whose members are decreasing functions of ...

We discuss how to aggregate multiple criteria evaluations belonging to qualitative, linearly ordered scales. Qualitative aggregation operations such as min or max can be refined by discrimin and leximin orderings, in agreement with the Pareto ordering of vector evaluations. Further refinements of discrimin orderings, as well as the generalization of discrimin and lexirnin to functions other tha...

Emerging approaches to network monitoring involve large numbers of agents collaborating to produce performance or security related statistics on huge, partial mesh networks. The aggregation process often involves security or business-critical information which network providers are generally unwilling to share without strong privacy protection. We present efficient and scalable protocols for pr...

Emerging approaches to network monitoring involve large numbers of agents collaborating to produce performance or security related statistics on huge and generally incomplete networks. The aggregation process often involves security or business-critical information which network providers are generally unwilling to share without strong privacy protection. We present efficient and scalable proto...

Two basic aggregation methods of reals are idempotent ones (min, max, arithmetic mean) and Archimedean ones (sum, bounded sum). Under some additional requirements, these methods can be shown to be the only possible up to isomorphic transformation and composition of operators (e. g. ordinal sum), see for example Isemigroups of Mostert and Shields [15], compare also [9], or quasi-arithmetic means...