Results 31 to 40 of about 1,235,954 (283)
The Lattice of Rough Subsets of a Rough Set. The Category of Rough Sets
The paper deals with algebraic structures related to rough sets, introduced by Pawlak in 1982. It is proved that the lattice of all rough subsets of a given rough set is a complete Heyting algebra. Necessary and sufficient conditions for the above lattice to be a Boolean algebra are presented.
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The Structure of Multigranular Rough Sets [PDF]
We study multigranulation spaces of two equivalences. The lattice-theoretical properties of so-called “optimistic” and “pessimistic” multigranular approximation systems are given. We also consider the ordered sets of rough sets determined by these approximation pairs.
Jouni Järvinen, Sándor Radeleczki
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Class-based Rough Approximation with Dominance Principle [PDF]
Dominance-based Rough Set Approach (DRSA), as the extension of Pawlak's Rough Set theory, is effective and fundamentally important in Multiple Criteria Decision Analysis (MCDA).
Chai, Junyi, Liu, James N. K.
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Soft rough fuzzy sets and soft fuzzy rough sets
AbstractFuzzy set theory, soft set theory and rough set theory are mathematical tools for dealing with uncertainties and are closely related. Feng et al. introduced the notions of rough soft set, soft rough set and soft rough fuzzy set by combining fuzzy set, rough set and soft set all together.
Keyun Qin, Xiaohong Zhang, Dan Meng
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Information completeness in Nelson algebras of rough sets induced by quasiorders
In this paper, we give an algebraic completeness theorem for constructive logic with strong negation in terms of finite rough set-based Nelson algebras determined by quasiorders. We show how for a quasiorder $R$, its rough set-based Nelson algebra can be
A. Sendlewski +22 more
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Constructing a Hoop Using Rough Filters
When it comes to making decisions in vague problems, rough is one of the best tools to help analyzers. So based on rough and hoop concepts, two kinds of approximations (Lower and Upper) for filters in hoops are defined, and then some properties of them ...
Rajab Ali Borzooei, Elham Babaei
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Parametric matroid of rough set [PDF]
Rough set is mainly concerned with the approximations of objects through an equivalence relation on a universe. Matroid is a combinatorial generalization of linear independence in vector spaces.
Liu, Yanfang, Zhu, William
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Moving in the Dark: Enlightening the Spatial Population Ecology of European Cave Salamanders
We assessed individual interactions, movement ecology and activity patterns of a subterranean population of Speleomantes strinatii, applying spatial capture–recapture modeling to a photographic dataset of 104 individuals. ABSTRACT Space use and movement are fundamental aspects of organisms' ecology, mirroring individual fitness, behavior, and life ...
Giacomo Rosa +2 more
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Rough set theory and its applications
In this paper rudiments of the theory will be outlined, and basic concepts of the theory will be illustrated by a simple tutorial example, concerning churn modeling in telecommunications.
Zdzisław Pawlak
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