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Fuzzy Set Extensions of the Dominance-Based Rough Set Approach
2007Rough set theory has been proposed by Pawlak in the early 80s to deal with inconsistency problems following from information granulation. It operates on an information table composed of a set U of objects described by a set Q of condition and decision attributes. Decision attributes make a partition of U into decision classes.
Roman Słowiński +5 more
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Bayesian Decision Theory for Dominance-Based Rough Set Approach [PDF]
, 2007 Dominance-based Rough Set Approach (DRSA) has been proposed to generalize classical rough set approach when consideration of monotonicity between degrees of membership 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 ...
GRECO, Salvatore +2 more
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On Variable Consistency Dominance-Based Rough Set Approaches
2006We consider different variants of Variable Consistency Dominance-based Rough Set Approach (VC-DRSA). These variants produce more general (extended) lower approximations than those computed by Dominance-based Rough Set Approach (DRSA), (i.e., lower approximations that are supersets of those computed by DRSA).
BLASZCYNSKI J +3 more
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Dominance-Based Rough Set Approach to Interactive Multiobjective Optimization [PDF]
, 2008 In this chapter, we present a new method for interactive multiobjective optimization, which is based on application of a logical preference model built using the Dominance-based Rough Set Approach (DRSA). The method is composed of two main stages that alternate in an interactive procedure.
GRECO, Salvatore +2 more
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Generalizing Rough Set Theory Through Dominance-Based Rough Set Approach
2005Ordinal properties of data related to preferences have been taken into account in the Dominance-based Rough Set Approach (DRSA). We show that DRSA is also relevant in case where preferences are not considered but a kind of monotonicity relating attribute values is meaningful for the analysis of data at hand.
GRECO, Salvatore +2 more
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Dominance-Based Rough Set Approach
2019Dominance-based Rough Set Approach (DRSA) is an extension of conventional Rough Set Theory. The conventional approach does not take into consideration the dominance relation among the objects while considering the universe. DRSA, on the other hand, considers this relation as well and thus takes RST a step ahead.
Usman Qamar, Muhammad Summair Raza
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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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Dominance-Based Rough Set Approach Using Possibility and Necessity Measures
, 2002 Dominance-based rough set approach is an extension of the basic rough set approach proposed by Pawlak, to multicriteria classification problems. In this paper, the dominance-based rough set approach is considered in the context of vague information on preferences and decision classes.
Salvatore Greco +2 more
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