Gradation of Fuzzy Preconcept Lattices

Noticing certain limitations of concept lattices in the fuzzy context, especially in view of their practical applications, in this paper, we propose a more general approach based on what we call graded fuzzy preconcept lattices. We believe that this approach is more adequate for dealing with fuzzy information then the one based on fuzzy concept lattices. We consider two possible gradation methods of fuzzy preconcept lattice—an inner one, called D-gradation and an outer one, called M-gradation, study their properties, and illustrate by a series of examples, in particular, of practical nature.

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Attribute Reduction of Intuitionistic Fuzzy Concept Lattices

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.713-715.1649 ◽

2015 ◽

Vol 713-715 ◽

pp. 1649-1654 ◽

Cited By ~ 1

Author(s):

Hong Wang ◽

Hong Juan Zhang

Keyword(s):

Information Systems ◽

Attribute Reduction ◽

Dominance Relation ◽

Formal Concept ◽

Fuzzy Information ◽

Concept Lattices ◽

Fuzzy Concept ◽

Intuitionistic Fuzzy

In this paper, we turn intuitionistic fuzzy information systems into 0-1 formal contexts by using dominance relation. A pair of operators is defined to get the formal concept lattices in the intuitionistic fuzzy information systems. Furthermore, some properties and attribute reduction based on discernibility matrices is investigated.

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Fuzzy Concept Lattices and Fuzzy Relation Equations in the Retrieval Processing of Images and Signals

International Journal of Uncertainty Fuzziness and Knowledge-Based Systems ◽

10.1142/s0218488517400050 ◽

2017 ◽

Vol 25 (Suppl. 1) ◽

pp. 99-120 ◽

Cited By ~ 4

Author(s):

Cristina Alcalde ◽

Ana Burusco ◽

Juan Carlos Díaz-Moreno ◽

Jesús Medina

Keyword(s):

Mathematical Morphology ◽

Fuzzy Relation ◽

Point Of View ◽

The Other ◽

Concept Lattices ◽

Fuzzy Relation Equations ◽

Fuzzy Concept ◽

Other Hand ◽

The One ◽

Aforementioned Study

This paper considers the introduced relations between fuzzy property-oriented concept lattices and fuzzy relation equations, on the one hand, and mathematical morphology, on the other hand, in the retrieval processing of images and signals. In the first part, it studies how the original images and signals can be retrieved using fuzzy property-oriented concept lattices and fuzzy relation equations. In the second one we analyze two of the most important tools in fuzzy mathematical morphology from the point of view of the fuzzy property-oriented concepts and the aforementioned study. Both parts are illustrated with practical examples.

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Heuristic Algorithms for Waste Load Allocation in a River Basin

Water Science & Technology ◽

10.2166/wst.1989.0307 ◽

1989 ◽

Vol 21 (8-9) ◽

pp. 1057-1064 ◽

Cited By ~ 3

Author(s):

Vijay Joshi ◽

Prasad Modak

Keyword(s):

Dynamic Programming ◽

Heuristic Algorithms ◽

Water Quality Management ◽

User Preferences ◽

Theory And Practice ◽

Waste Load Allocation ◽

Practical Applications ◽

Waste Load ◽

On Line ◽

The One

Waste load allocation for rivers has been a topic of growing interest. Dynamic programming based algorithms are particularly attractive in this context and are widely reported in the literature. Codes developed for dynamic programming are however complex, require substantial computer resources and importantly do not allow interactions of the user. Further, there is always resistance to utilizing mathematical programming based algorithms for practical applications. There has been therefore always a gap between theory and practice in systems analysis in water quality management. This paper presents various heuristic algorithms to bridge this gap with supporting comparisons with dynamic programming based algorithms. These heuristics make a good use of the insight gained in the system's behaviour through experience, a process akin to the one adopted by field personnel and therefore can readily be understood by a user familiar with the system. Also they allow user preferences in decision making via on-line interaction. Experience has shown that these heuristics are indeed well founded and compare very favourably with the sophisticated dynamic programming algorithms. Two examples have been included which demonstrate such a success of the heuristic algorithms.

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On efficient factorization of standard fuzzy concept lattices and attribute-oriented fuzzy concept lattices

Fuzzy Sets and Systems ◽

10.1016/j.fss.2018.01.012 ◽

2018 ◽

Vol 351 ◽

pp. 108-121 ◽

Cited By ~ 1

Author(s):

Jan Konecny

Keyword(s):

Concept Lattices ◽

Fuzzy Concept

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A Framework to Evaluate the Benefit of Seismic Upgrading

Earthquake Spectra ◽

10.1193/061318eqs145d ◽

2019 ◽

Vol 35 (2) ◽

pp. 1045-1051 ◽

Cited By ~ 1

Author(s):

Clotaire Michel ◽

Blaise Duvernay ◽

Ehrfried Kölz ◽

Navid Jamali ◽

Pierino Lestuzzi

Keyword(s):

Existing Buildings ◽

Design Code ◽

Absolute Level ◽

Safety Level ◽

Seismic Code ◽

Practical Applications ◽

The Absolute ◽

Cost Efficient ◽

The One ◽

Level Of Risk

The framework to evaluate the benefit of seismic upgrading of Galanis et al. (2018) is compared to that present in the Swiss seismic code for existing buildings since 2004, updated in 2017. To illustrate the comparison, the example building of Galanis et al. (2018) in Zurich is analyzed following the Swiss code. It is shown that the concept of Degree of Seismic Upgrade is not relevant for practical applications. More generally, the approach of Galanis et al. (2018) would be more suited to a risk-based framework (like the Swiss code) than to a performance-based framework like the one they followed. For existing buildings, we claim that it is appropriate to define the retrofitting strategy based on the absolute level of risk, whereas targeting the safety level of the design code is rarely cost-efficient.

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Optimal Strategy to Certify Quantum Nonlocality

10.21203/rs.3.rs-703622/v1 ◽

2021 ◽

Author(s):

S. Gómez ◽

D. Uzcátegui ◽

I. Machuca ◽

E. S. Gómez ◽

S. P. Walborn ◽

...

Keyword(s):

Experimental Data ◽

Random Number ◽

Bell Inequality ◽

Random Number Generation ◽

Quantum Nonlocality ◽

Entangled Photons ◽

Challenging Problem ◽

Practical Applications ◽

Variable Limit ◽

The One

Abstract Certification of quantum nonlocality plays a central role in practical applications like device-independent quantum cryptography and random number generation protocols. These applications entail the challenging problem of certifying quantum nonlocality, something that is hard to achieve when the target quantum state is only weakly entangled, or when the source of errors is high, e.g. when photons propagate through the atmosphere or a long optical fiber. Here we introduce a technique to find a Bell inequality with the largest possible gap between the quantum prediction and the classical local hidden variable limit for a given set of measurement frequencies. Our method represent an efficient strategy to certify quantum nonlocal correlations from experimental data without requiring extra measurements, in the sense that there is no Bell inequality with a larger gap than the one provided. Furthermore, we also reduce the photodetector efficiency required to close the detection loophole. We illustrate our technique by improving the detection of quantum nonlocality from experimental data obtained with weakly entangled photons.

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Direct Factorization by Similarity of Fuzzy Concept Lattices by Factorization of Input Data

Lecture Notes in Computer Science - Concept Lattices and Their Applications ◽

10.1007/978-3-540-78921-5_4 ◽

2008 ◽

pp. 68-79 ◽

Cited By ~ 1

Author(s):

Radim Belohlavek ◽

Jan Outrata ◽

Vilem Vychodil

Keyword(s):

Input Data ◽

Concept Lattices ◽

Fuzzy Concept ◽

Direct Factorization

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Axisymmetric simulation of viscoelastic filament thinning with the Oldroyd-B model

Journal of Fluid Mechanics ◽

10.1017/jfm.2018.514 ◽

2018 ◽

Vol 851 ◽

Cited By ~ 15

Author(s):

Emre Turkoz ◽

Jose M. Lopez-Herrera ◽

Jens Eggers ◽

Craig B. Arnold ◽

Luc Deike

Keyword(s):

Stress Component ◽

Fluid Flows ◽

Theoretical Description ◽

Slender Body ◽

Complex Materials ◽

Two Phase ◽

Practical Applications ◽

Numerical Studies ◽

Fundamental Understanding ◽

The One

A fundamental understanding of the filament thinning of viscoelastic fluids is important in practical applications such as spraying and printing of complex materials. Here, we present direct numerical simulations of the two-phase axisymmetric momentum equations using the volume-of-fluid technique for interface tracking and the log-conformation transformation to solve the viscoelastic constitutive equation. The numerical results for the filament thinning are in excellent agreement with the theoretical description developed with a slender body approximation. We show that the off-diagonal stress component of the polymeric stress tensor is important and should not be neglected when investigating the later stages of filament thinning. This demonstrates that such numerical methods can be used to study details not captured by the one-dimensional slender body approximation, and pave the way for numerical studies of viscoelastic fluid flows.

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