General Tool-Based Approximation Framework Based on Partial Approximation of Sets

Abstract. Computer aided medical diagnosis and treatment require an adequate representation of uncertain or imperfect medical data. There are many approaches dealing with such type of data. Pawlak proposed a new method called rough set theory. In this paper, beyond classical and recent methods, the authors propose a basically new approach. It relies on a generalization of rough set theory, namely, the partial covering of the universe of objects. It adequately reflects the partial nature of real-life problems. This new approach called the partial approximation of sets is presented as well as its medical informatics application is demonstrated.

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“…For more details, see [9]. Let A + , A − ⊆ U be two nonempty subsets of U in such a way that A + ∩ A − = ∅.…”

Section: Elements Of Tool-based Approximation Frameworkmentioning

confidence: 99%

“…Furthermore, based on partial approximation of sets, a general tool-based approximation framework can be built up [9]. It is a general model which has applications in computer security [7,8].…”

Section: Introductionmentioning

confidence: 99%

An Adequate Representation of Medical Data Based on Partial Set Approximation

Csajbók

Mihálydeák

Ködmön

2013

Computer Information Systems and Industrial Management

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“…Moreover, in practice, there are attributes which do not characterize all members of an observed collection of objects [6,13].…”

Section: Introductionmentioning

confidence: 99%

On the Partial Approximation of Sets

2011

AMS

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1 According to Pawlak's classic rough set theory the vagueness of a subset of a finite universe U is defined by the difference of its upper and lower approximations with respect to an equivalence relation on U . A natural way of the generalization of this idea is that the equivalence relation is replaced by either any other type of binary relations on U or an arbitrary covering of the universe. In this paper, our starting point will be an arbitrary family of subsets of an arbitrary universe U . Within this framework, we shall investigate a possible generalization of Pawlak's idea. Both Pawlak's rough set theory and our approach can extensively be applied in medical informatics.

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Approximation of Sets Based on Partial Covering

Csajbók

2013

Transactions on Rough Sets XVI

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General Tool-Based Approximation Framework Based on Partial Approximation of Sets

Cited by 3 publications

References 9 publications

An Adequate Representation of Medical Data Based on Partial Set Approximation

An Adequate Representation of Medical Data Based on Partial Set Approximation

On the Partial Approximation of Sets

Approximation of Sets Based on Partial Covering

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