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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 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 as a Proper Way of Handling Graduality in Rough Set Theory
, 2007 Referring to some ideas of Leibniz, Frege, Boole and Łukasiewicz, we represent fundamental concepts of rough set theory in terms of a generalization that permits to deal with the graduality of fuzzy sets. Our conjunction of rough sets and fuzzy sets is made using the Dominance-based Rough Set Approach (DRSA).
Salvatore Greco +2 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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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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Dominance-Based Rough Set Approach to Granular Computing
2010Dominance-based Rough Set Approach (DRSA) was introduced as a generalization of the rough set approach for reasoning about preferences. While data describing preferences are ordinal by the nature of decision problems they concern, the ordering of data is also important in many other problems of data analysis.
GRECO, Salvatore +2 more
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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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Dominance-Based Rough Set Approach and Bipolar Abstract Rough Approximation Spaces
2008We take into consideration Dominance-based Rough Set Approach and its recently proposed algebraic modeling in terms of bipolar de Morgan Brower-Zadeh distributive lattice. On this basis we introduce the concept of bipolar approximation space and we show how it can be induced from a bipolar quasi Brower-Zadeh lattice.
Greco, Salvatore +2 more
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A method for weight assignment by Dominance-based Rough Sets Approach
2009 Chinese Control and Decision Conference, 2009In many real problems, it does not consider the ranking characteristic of criteria to make multi-criteria decision with classical rough sets theory. By Dominance-based Rough Sets Approach (DRSA), this paper develops methods for weight assignment respectively under two settings, with decision sorting classes and without decision sorting classes ...
Liu Bin, Zhang Rong, Liu Si-feng
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