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A Multifaceted Analysis of Probabilistic Three-way Decisions

Deng X., Yao Y.

Fundamenta Informaticae

2014

Vol. 132, nr 3

291--313

In situations where available information or evidence is incomplete or uncertain, probabilistic two-way decisions/classifications with a single threshold on probabilities for making either an acceptance or a rejection decision may be inappropriate. With the introduction of a third non-commitment option, probabilistic three-way decisions use a pair of thresholds and provide an effective and practical decision-making strategy. This paper presents a multifaceted analysis of probabilistic three-way decisions. By identifying an inadequacy of two-way decisions with respect to controlling the levels of various decision errors, we examine the motivations and advantages of three-way decisions. We present a general framework for computing the required thresholds of a three-way decision model as an optimization problem. We investigate two special cases, one is a decision-theoretic rough set model and the other is an information-theoretic rough set model. Finally, we propose a heuristic algorithm for finding the required thresholds.

Thermodynamic optimization of cryogenic systems

Chorowski M.

Archives of Thermodynamics

2006

Vol. 27, no. 4

57-66

Superfluid He II cooling for high field superconducting magnets has been developed using the opportunity of large scale project in fusion power generation and high energy physics laboratories. The magnets are cryostated at temperature as low as 1.8 K. The necessary energy input for 1 W of cooling power at 1.8 K is of the order of 1 kW and the use of superfluid helium at the temperature below 2.0 K requires efficient and low energy consuming cryostats. The cryostat design can be optimized on the basis of the Second Law of Thermodynamics with use of entropy generation minimization method, within the boundary and technical constraints of the device. The paper presents the discussion of theoretical background of entropy generation minimization method and gives the example from the cryostat design practice. The basic scheme of superfluid pressurized He II cryostat is given.The He II cryostat built in the Institute of Power Engineering and Fluid Mechanics is described together with the optimization procedure of the cryostat thermal insulation system based on the entropy minimization method.