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Computationally Efficient Approximation Algorithm of Dominance Based Rough Set Approach
International Conference on Advanced Communication Technology, 2020Information systems contain preference ordered decision attributes now a day. To deal with them Dominance based Rough Set Approach (DRSA) is used. Two important concepts in DRSA are upper and lower approximations, both of them are computationally heavy ...
Aleena Ahmad +2 more
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Algebra and Topology for Dominance-Based Rough Set Approach
2010Dominance-based rough sets generalize classical indiscernibility based rough sets by handling ordered value sets of attributes and monotonic relationships between values of condition and decision attributes. Dominance based rough sets permit, in particular, a natural hybridization of fuzziness and roughness, which are complementary concepts of ...
Benedetto Matarazzo +3 more
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Algebraic Structures for Dominance-Based Rough Set Approach
2008Dominance-based Rough Set Approach (DRSA) has been proposed to generalize classical rough set approach when monotonicity between memberships to considered concepts has to be taken into account. This is typical for data describing various phenomena, e.g., "the larger the mass and the smaller the distance, the larger the gravity".
GRECO, Salvatore +2 more
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A unified approach to reducts in dominance-based rough set approach
Soft Computing, 2009The Dominance-based Rough Set Approach (DRSA), which is an extension of the Rough Set Approach (RSA), analyzes a sorting problem for a given data set. Attribute reduction is one of major topics in RSA as well as DRSA. By attribute reduction, we can find an important attribute set, which is called a reduct.
Yoshifumi Kusunoki, Masahiro Inuiguchi
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Variable Consistency Model of Dominance-Based Rough Sets Approach
2001Consideration of preference-orders requires the use of an extended rough set model called Dominance-based Rough Set Approach (DRSA). The rough approximations defined within DRSA are based on consistency in the sense of dominance principle. It requires that objects having not-worse evaluation with respect to a set of considered criteria than a referent ...
GRECO, Salvatore +3 more
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Dominance-Based Rough Set Approach to Case-Based Reasoning
2006Case-based reasoning is a paradigm in machine learning whose idea is that a new problem can be solved by noticing its similarity to a set of problems previously solved. We propose a new approach to case-based reasoning. It is based on rough set theory that is a mathematical theory for reasoning about data. More precisely, we adopt Dominance-based Rough
GRECO, Salvatore +2 more
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Empirical risk minimization for dominance-based rough set approaches
Information Sciences, 2021Abstract In this paper, we consider two parametric dominance-based rough set approaches (DRSA) proposed in the literature: variable precision DRSA (VP-DRSA) and variable consistency DRSA (VC-DRSA). They were introduced to cope with classification data encountered in practice for which the original definition of lower approximations is too ...
Jerzy Błaszczyński +4 more
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Variable-Precision Dominance-Based Rough Set Approach
2006In order to treat the ordinality and the monotonicity between condition and decision attributes in decision tables, the dominance-based rough set approach (DRSA) has been developed. Moreover, to treat the hesitation in evaluation, the variable-consistency dominance-based rough set approach (VC-DRSA) has been proposed. However, the VC-DRSA is not always
Yukihiro Yoshioka, Masahiro Inuiguchi
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Optimized Generalized Decision in Dominance-Based Rough Set Approach
2007Dominance-based Rough Set Approach (DRSA) has been proposed to deal with multi-criteria classification problems, where data may be inconsistent with respect to the dominance principle. However, in real-life datasets, in the presence of noise, the notions of lower and upper approximations handling inconsistencies were found to be excessively restrictive
DEMBCZYSKI K +3 more
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Several Reducts in Dominance-Based Rough Set Approach
2008In this paper, we investigate reducts preserving a structure induced from dominance-based rough sets as well as a structure from variable-precision dominance-based rough sets. It is shown that three kinds of reducts are obtained in the dominance-based rough set approach.
Masahiro Inuiguchi, Yukihiro Yoshioka
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