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TOLERANCE APPROXIMATION SPACES

Fundamenta Informaticae, 1996
We generalize the notion of an approximation space introduced in [8]. In tolerance approximation spaces we define the lower and upper set approximations. We investigate some attribute reduction problems for tolerance approximation spaces determined by tolerance information systems. The tolerance relation defined by the so called uncertainty function or
Skowron, Andrzej, Stepaniuk, Jaroslaw
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TOPSIS method based on a fuzzy covering approximation space: An application to biological nano-materials selection

Information Sciences, 2019
The applications of nanomaterials in biomedicine have received increasing attentions. Therefore, how to choose the most suitable material among a variety of bio-nanomaterials with similar properties is a significant problem.
Kai Zhang, J. Zhan, Yiyu Yao
semanticscholar   +1 more source

Approximate ? spaces

General Relativity and Gravitation, 1977
We show how, for a wide class of asymptotically flat space-times, it is possible to solve the equation for asymptotically shear-free complex null cones (the good-cut equation) to first approximation, and thereby obtain first-order ℋ spaces and associated firstorder asymptotic projective twistor spaces.
E. T. Newman, K. P. Tod
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Covering rough set structures for a locally finite covering approximation space

Information Sciences, 2019
The purpose of this paper is to introduce the notion of locally finite covering approximation (LFC-, for brevity) space (U, C) which is a generalization of a (finite) covering approximation space. Furthermore, for a subset X of the universe U, we develop
Sang-Eon Han
semanticscholar   +1 more source

Soft Nearness Approximation Spaces

Fundamenta Informaticae, 2013
In 1999, Molodtsov introduced the theory of soft sets, which can be seen as a new mathematical approach to vagueness. In 2002, near set theory was initiated by J. F. Peters as a generalization of Pawlak's rough set theory. In the near set approach, every perceptual granule is a set of objects that have their origin in the physical world.
Öztürk, Mehmet Ali, Ịnan, Ebubekir
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Three-way Decisions with Rough Membership Functions in Covering Approximation Space

Fundamenta Informaticae, 2019
Rough membership functions in covering approximation space not only give numerical characterizations of covering-based rough set approximations, but also establish the relationship between covering-based rough sets and fuzzy covering-based rough sets. In
Bingqiao Yang, B. Hu, Junsheng Qiao
semanticscholar   +1 more source

Lipschitz approximable Banach spaces

Commentationes Mathematicae Universitatis Carolinae, 2020
It is shown that a separable Banach space with the bounded compact approximation property is Lipschitz-approximable. Using known examples one deduces that there is a Lipschitz-approximable reflexive separable Banach space which fails the approximation property.
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Space-Bounded Query Approximation

2015
When dealing with large amounts of data, exact query answering is not always feasible. We propose a query approximation method that, given an upper bound on the amount of data that can be used (i.e., for which query evaluation is still feasible), identifies a part C of the data D that (i) fits in the available space budget; and (ii) provides accurate ...
Cule, Boris   +2 more
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Fuzzy β-covering approximation spaces

International Journal of Approximate Reasoning, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Xiaohong, Wang, Jingqian
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Constrained Approximation in Sobolev Spaces

Canadian Journal of Mathematics, 1997
AbstractPositive, copositive, onesided and intertwining (co-onesided) polynomial and spline approximations of functions are considered. Both uniform and pointwise estimates, which are exact in some sense, are obtained.
Hu, Y. K., Kopotun, K. A., Yu, X. M.
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