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  A Multifaceted Analysis of Probabilistic Three-way Decisions
 
 
Titel: A Multifaceted Analysis of Probabilistic Three-way Decisions
Auteur: Deng, Xiaofei
Yao, Yiyu
Verschenen in: Fundamenta informaticae
Paginering: Jaargang 132 (2014) nr. 3 pagina's 291-313
Jaar: 2014-09-26
Inhoud: 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.
Uitgever: IOS Press
Bronbestand: Elektronische Wetenschappelijke Tijdschriften
 
 

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