Inaccuracies, or deviations, in the measurements of monitored variables in a control system are facts of life that control software must accommodate—the software is expected to continue functioning correctly in the face of an expected range of deviations in the inputs. Deviation analysis can be used to determine how a software specification will behave in the face of such deviations in data fro...

The complexity of multi-criteria decision problems requires the involvement a group experts, who can contribute their knowledge, experience and opinions to decision-making process. aim this study is present new analytic hierarchy process (AHP) framework, called GSD-IJ. main idea emphasize satisfaction with final decision, which measured by index. GSD-IJ based on geometric mean standard deviatio...

in this paper, we consider portfolio selection problem in which security returns are regarded as fuzzy variables rather than random variables. we first introduce a concept of absolute deviation for fuzzy variables and prove some useful properties, which imply that absolute deviation may be used to measure risk well. then we propose two mean-absolute deviation models by defining risk as abs...

Fe-Cr-Al alloy nanopowders were successfully prepared by electrical wire explosion method in ethyl alcohol media. The formation of FeCr-Al alloy nanopowder was monitored by X-ray diffraction. The alloy powders have spherical shape and nanometer size. The alloy powders prepared by the electrical wire explosion method have main crystal structures of bcc Fe-Cr alloy. The geometric mean diameter an...

Since an M D queue is represented by a Markov chain we can consider the set of all the M D queues as a subset of Markov chains A geometric structures is induced from the geometric structure of the set of Markov chains which forms an exponential family In this paper we show that in the large deviation of the tail probability of the queue length of an M D the rate function and a twisted Markov ch...

The weighted geometric mean ordering vector and logarithmic least squares are proposed to aggregate information of decision makers to generate weight vector from uncertainty comparison matrices in uncertain group AHP model. Especially, when the judgment matrices are incomplete, the latter can be developed to derive priorities under the condition of minimal deviation. Some concepts in uncertaint...