[PDF] Top 20 Lattice for covering rough approximations

... Covering-based rough set theory ([17], [19]) is a generalization of rough set ...of covering- based rough sets ([18],[19],[20]) have been a interested field of ...classical rough ... See full document

... We use this method to help doctors in diagnosing the breast cancer risk. In our work, we use fuzzy soft covering approximations instead of fuzzy soft rough approximations in step 3. We may ... See full document

... investigated rough semigroups and rough fuzzy semigroups based on fuzzy ...studied rough soft n-ary semigroups based on a novel congruence relation and corresponding decision ...soft rough ... See full document

... Rough set, introduced by Pawlak [1, 15], is a notion of describing the objects based on the precise observations of attributes. The limited expressivity of the language defined by these attributes prevents set of ... See full document

... of rough set was first propsed by ...the rough set theory has its ...the rough theory [11, 13, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, ...Pawlak’s rough set theory is that partition or ... See full document

... of rough sets proposed by Pawlak [] is a new mathematical approach for the study of incomplete or imprecise ...of rough sets has been demonstrated by some successful applications in many areas such as ... See full document

... Pawlak rough set is mainly based on equivalence ...define rough set ...the rough approximations in more general setting of complete atomic Boolean lattice were studied by Järvinen in ... See full document

... of covering-based lower and upper approximation operators ...and covering rough set, topological space and Galois ...and covering rough set, topological space and Galois ... See full document

... between rough set theory and formal concept analysis theory, so rough set approximations can be realized by means of formal concept ...of rough set approximation operation has two major steps, ... See full document

... concept lattice is also called Galois lattice, was proposed by Wille in 1982 ...concept lattice is an ordered hierarchy that is defined by a binary relationship between objects and attributes in a ... See full document

... The lattice is a kind of order structure which enjoys wide application in the treatment of preference ...The lattice is able to make the fuzzy and indistinct preference of decision maker’s decisions ordered ... See full document

... With dark-field illumination, the wing scales of M. marcus are multi-colored (Fig. 1E). Removing a few scales from a small wing area showed that the lattice of cover scales completely overlaps the lattice ... See full document

... Blaha, Molecular and solid-state tests of density functional approximations: LSD, GGAs, and Meta-GGAs, Inlt.. Blaha, Calculation of the lattice constant of solids with semilocal functi[r] ... See full document

... wavelength band there is always an adequate wavelength which is able to produce a Bragg peak according to Eq. (1) after being scattered at a randomly oriented (hkl) lattice plane. In order to measure a large part ... See full document

... spacetime lattice model is topologically the cubic lattice system, its transformations can be directly described by the self-similar transformation theory [5], which is called the direct description: On the ... See full document

... Seawater as an electrolyte makes metals and alloys suffer from corrosion deterioration. Among various corrosion forms, pitting corrosion is extremely hazardous for marine structures. It degrades the performance of metal ... See full document

... Conclusion In this paper, three new kinds of cover reductions were proposed, and the relation between the classes covering reductions and the corresponding cover upper approximations was[r] ... See full document

... using Rough Set Theory [17] [21]. It implements rough-set based rule induction as well as a number of addi- tional features such as discretization algorithms, clustering techniques, reduct computation, ... See full document

... of approximations in lattice density- functional theory for interacting many-body systems and to explore the regimes where the Hohenberg- Kohn-type theorem on fermionic lattices is ...used ... See full document

... for processes Y , X ∈ C α with any Hölder exponent α ∈ 0 , 1 2 . If α > 1 2 , then the integral can be defined in Young’s sense [30] as the limit of Riemann sums. If α ≤ 1 2 , however, the Riemann sums may diverge (or ... See full document