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A Semantical Approach to Rough Sets and Dominance-Based Rough Sets
2016There exist two formulations of rough sets: the conceptual and computational one. The conceptual or semantical approach of rough set theory focuses on the meaning and interpretation of concepts, while algorithms to compute those concepts are studied in the computational formulation. However, the research on the former is rather limited.
Lynn D’eer, Chris Cornelis, Yiyu Yao
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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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Double-quantitative variable consistency dominance-based rough set approach
International Journal of Approximate Reasoning, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Wentao +4 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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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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Dominance-Based Rough Set Approach Using Possibility and Necessity Measures
2002Dominance-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.
GRECO, Salvatore +2 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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Bayesian Decision Theory for Dominance-Based Rough Set Approach
2007Dominance-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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A unified approach to reducts in dominance-based rough set approach
Soft Computing, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kusunoki, Yoshifumi, Inuiguchi, Masahiro
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Dominance-Based Rough Set Approach to Interactive Evolutionary Multiobjective Optimization
2010We present application of Dominance-based Rough Set Approach (DRSA) to interactive Evolutionary Multiobjective Optimization (EMO). In the proposed methodology, the preference information elicited by the decision maker in successive iterations consists in sorting some solutions of the current population as “good” or “bad”, or in comparing some pairs of ...
GRECO, Salvatore +2 more
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