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Morphisms in Binary Rough Set Theory
Fundamenta Informaticae, 2020Some scholars have proposed homomorphisms between information systems based on consistent functions. However, the binary relations in the codomain induced by consistent functions thoroughly depend on the binary relations induced by the original domain systems.
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The Rough Sets Theory and Evidence Theory
Fundamenta Informaticae, 1990The aim of the paper is to show some connections between the rough sets theory and the Dempser-Shafer approach. We prove that for every Pawlak’s approximation space there exists a Dempster-Shafer space with the qualities of the lower and upper approximations of sets in the approximation space equal to the credibility and plausibility of sets in the ...
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Rough sets theory for multicriteria decision analysis
European Journal of Operational Research, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
GRECO, Salvatore +2 more
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Contributions to the Theory of Rough Sets
Fundamenta Informaticae, 1999We study properties of rough sets, that is, approximations to sets of records in a database or, more formally, to subsets of the universe of an information system. A rough set is a pair 〈L, U〉 such that L, U are definable in the information system and L ⊆ U. In the paper, we introduce a language, called the language of inclusion-exclusion, to describe
Marek, V. Wiktor +1 more
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Rough Approximate Operators: Axiomatic Rough Set Theory
1994In rough set theory, the upper and lower approximations are defined in terms of equivalence relation. In this paper, the reverse problem is considered. Let H and L are two abstract operators acting on the power set of U, the universe of discourse. If the two operators satisfy six axioms, then there is an equivalence relation defined on U such that H(X)
T. Y. Lin, Qing Liu
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Rough set theory applied to lattice theory
Information Sciences, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Estaji, A. A. +2 more
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A new rough set theory: rough soft hemirings
Journal of Intelligent & Fuzzy Systems, 2015The aim of this paper is to introduce the notion of a rough soft hemiring, which is an extended notion of a rough hemiring and a soft hemiring. We study roughness in soft hemirings with respect to Pawlak approximation spaces. Some new rough soft operations are explored. In particular, lower and upper rough soft hemirings and (k-idealistic, h-idealistic,
Zhan, Jianming, Liu, Qi, Davvaz, Bijan
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Decision systems in rough set theory: A set operatorial perspective
Journal of Algebra and Its Applications, 2019In rough set theory (RST), the notion of decision table plays a fundamental role. In this paper, we develop a purely mathematical investigation of this notion to show that several basic aspects of RST can be of interest also for mathematicians who work with algebraic and discrete methods.In this abstract perspective, we call decision system a sextuple [
CHIASELOTTI GIAMPIERO +2 more
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A Rough Set Paradigm for Unifying Rough Set Theory and Fuzzy Set Theory
2007In this plenary address, we would like to discuss rough inclusions defined in Rough Mereology, a joint idea with A. Skowron, as a basis for common models for rough as well as fuzzy set theories. We would like to justify the point of view that tolerance (or, similarity) is the leading motif common to both theories and in this area paths between the two ...
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Research on rough set theory extension and rough reasoning
2004 IEEE International Conference on Systems, Man and Cybernetics (IEEE Cat. No.04CH37583), 2005Rough set theory is a new soft computing tool to deal with vagueness and uncertainty. It has attracted much attention of many researchers and practitioners all over the world, and has been applied to many fields successfully such as knowledge discovery, decision support, pattern recognition, machine learning, etc. Though the rough set theory is founded
null Yunliang Jiang +3 more
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