2013 **Abstract:** This paper discusses and proposes a rough set model for an incomplete information system, which defines an extended tolerance relation using frequency of attribute values in such a system. It first discusses some rough set extensions in incomplete information systems. Next, "probability of matching" is defined from data in information systems and then measures the degree of tolerance. Consequently, a rough set model is developed using a tolerance relation defined with a threshold. The paper discusses the mathe…

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“…The specificity of the attributes of the surveyed buildings shows a great variety of ways of encoding the given characteristics, which mostly occur in the quantitative form. In this case, the integration of the valued tolerance relation proves helpful [50]. It allows to implement more flexibility in data mining into the approximate set theory and to analyze observations expressed in quantitative form.…”

confidence: 99%

“…The specificity of the attributes of the surveyed buildings shows a great variety of ways of encoding the given characteristics, which mostly occur in the quantitative form. In this case, the integration of the valued tolerance relation proves helpful [50]. It allows to implement more flexibility in data mining into the approximate set theory and to analyze observations expressed in quantitative form.…”

confidence: 99%

“…This range is a membership function derived from the assumptions of fuzzy harvest theory. The closer the result is to one, the more similar (indistinguishable) the objects are in terms of the analyzed attribute, and the closer to 0 the more distinguishable they are [50,51]. Detailed description of the prediction model based on quantitative variables has been presented in [51,52].…”

confidence: 99%

“…One example of defining relation methods to deal with incomplete information systems is shown in [15]. Further investigation of the combination between fuzzy and rough sets can be found in [5,8,9,21,30].…”

confidence: 99%

“…However, this strategy changes the original information of IS. The second is a direct method that extends the basic concepts of the classical rough set theory in IIS by relaxing the requirement of indiscernibility relation of reflexivity, symmetry and transitivity [1,2,[8][9][10]12,14,16,17,[19][20][21][22][23] .…”

confidence: 99%