This paper is a contribution to the discussion about the problem, whether is there a fuzzy logic that can be considered as “The” fuzzy logic, i.e. only one formal system of fuzzy logic that would fit all our requirements and could serve as a general formal frame for the development of fuzzy set theory and all its applications. The reason is that after a monograph of P. Hajek was published, a pl...

In 2005 Li et al. gave a φ-competitive deterministic online algorithm for scheduling of packets with agreeable deadlines [12] with a very interesting analysis. This is known to be optimal due to a lower bound by Hajek [7]. We claim that the algorithm by Li et al. can be slightly simplified, while retaining its competitive ratio. Then we introduce randomness to the modified algorithm and argue t...

In 2005 Li et al. gave a φ-competitive deterministic online algorithm for scheduling of packets with agreeable deadlines [12] with a very interesting analysis. This is known to be optimal due to a lower bound by Hajek [7]. We claim that the algorithm by Li et al. can be slightly simplified, while retaining its competitive ratio. Then we introduce randomness to the modified algorithm and argue t...

The capacity region of the Gaussian multiple-input, single-output (per user) Broadcast Channel (BC) using superposition coding is analyzed. Perfect channel state information is assumed both at the transmitter and the receivers. The achievable Signal-to-Interference-plus-Noise Ratio (SINR) region of BC and MAC using beamforming is considered, and it is shown that existing SINR-balancing results ...

In Probability proportional to size (PPS) sampling, the sizes for nonsampled units are not required for the usual Horvitz-Thompson or Hajek estimates, and this information is rarely included in public use data files. Previous studies have shown that incorporating information on the sizes of the nonsampled units through semiparamteric models can result in improved estimates. When the design vari...