scholarly journals The “Generator” of Int-Soft Filters on Residuated Lattices

Mathematics ◽  
2019 ◽  
Vol 7 (3) ◽  
pp. 236 ◽  
Author(s):  
Huarong Zhang ◽  
Minxia Luo
Keyword(s):  
Extension Property ◽  
Residuated Lattices ◽  
Simple Method ◽  
Basic Properties

In this paper, we give the “generator” of int-soft filters and propose the notion of t-int-soft filters on residuated lattices. We study the properties of t-int-soft filters and obtain some commonalities (e.g., the extension property, quotient characteristics, and a triple of equivalent characteristics). We also use involution-int-soft filters as an example and show some basic properties of involution-int-soft filters. Finally, we investigate the relations among t-int-soft filters and give a simple method for judging their relations.

scholarly journals Classes of Int-Soft Filters in Residuated Lattices

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Young Bae Jun ◽  
Sun Shin Ahn ◽  
Kyoung Ja Lee
Keyword(s):  
Extension Property ◽  
Residuated Lattices

The notions of int-soft filters, int-softG-filters, regular int-soft filters, andMV-int-soft filters in residuated lattices are introduced, and their relations, properties, and characterizations are investigated. Conditions for an int-soft filter to be an int-softG-filter, a regular int-soft filter, or anMV-int-soft filter are provided. The extension property for an int-softG-filter is discussed. Finally, it is shown that the notion of anMV-int-soft filter coincides with the notion of a regular int-soft filter inBL-algebras.

scholarly journals An Investigation on Algebraic Structure of Soft Sets and Soft Filters over Residuated Lattices

ISRN Algebra ◽  
2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
S. Rasouli ◽  
B. Davvaz
Keyword(s):  
Algebraic Structure ◽  
Cartesian Product ◽  
Residuated Lattices ◽  
Soft Sets ◽  
Basic Properties ◽  
The Family

We introduce the notion of soft filters in residuated lattices and investigate their basic properties. We investigate relations between soft residuated lattices and soft filter residuated lattices. The restricted and extended intersection (union), ∨ and ∧-intersection, cartesian product, and restricted and extended difference of the family of soft filters residuated lattices are established. Also, we consider the set of all soft sets over a universe set U and the set of parameters P with respect to U, SoftP(U), and we study its structure.

A simple method of basic properties description of diluted ferromagnetic alloys (Ising model,

1986 ◽  
Vol 58 (3-4) ◽  
pp. 325-333 ◽  
Author(s):  
J. Mielnicki ◽  
T. Balcerzak ◽  
V.H. Truong ◽  
G. Wiatrowski ◽  
L. Wojtczak
Keyword(s):  
Ising Model ◽  
Simple Method ◽  
Basic Properties ◽  
Ferromagnetic Alloys

Ideals of Residuated Lattices

2021 ◽  
Vol 58 (2) ◽  
pp. 182-205
Author(s):  
Liviu-Constantin Holdon ◽  
Arsham Borumand Saeid
Keyword(s):  
Prime Ideal ◽  
Residuated Lattice ◽  
Extension Property ◽  
Characterization Theorem ◽  
Residuated Lattices ◽  
Quotient Algebra ◽  
Prime Ideals ◽  
Characterization Theorems

In this article, we study ideals in residuated lattice and present a characterization theorem for them. We investigate some related results between the obstinate ideals and other types of ideals of a residuated lattice, likeness Boolean, primary, prime, implicative, maximal and ʘ-prime ideals. Characterization theorems and extension property for obstinate ideal are stated and proved. For the class of ʘ-residuated lattices, by using the ʘ-prime ideals we propose a characterization, and prove that an ideal is an ʘ-prime ideal iff its quotient algebra is an ʘ-residuated lattice. Finally, by using ideals, the class of Noetherian (Artinian) residuated lattices is introduced and Cohen’s theorem is proved.

A simple way for producing holographic filters suitable for image improvement

1978 ◽  
Vol 36 (1) ◽  
pp. 226-227
Author(s):  
K.-H. Herrmann ◽  
E. Reuber ◽  
P. Schiske
Keyword(s):  
Transfer Functions ◽  
Diffraction Order ◽  
Lateral Position ◽  
Simple Method ◽  
Spatial Frequencies ◽  
Resolution Electron ◽  
Wiener Filters ◽  
Image Improvement ◽  
Optical Reconstruction ◽  
Set Up

Aposteriori deblurring of high resolution electron micrographs of weak phase objects can be performed by holographic filters [1,2] which are arranged in the Fourier domain of a light-optical reconstruction set-up. According to the diffraction efficiency and the lateral position of the grating structure, the filters permit adjustment of the amplitudes and phases of the spatial frequencies in the image which is obtained in the first diffraction order.In the case of bright field imaging with axial illumination, the Contrast Transfer Functions (CTF) are oscillating, but real. For different imageforming conditions and several signal-to-noise ratios an extensive set of Wiener-filters should be available. A simple method of producing such filters by only photographic and mechanical means will be described here.A transparent master grating with 6.25 lines/mm and 160 mm diameter was produced by a high precision computer plotter. It is photographed through a rotating mask, plotted by a standard plotter.

Rotary Beveling for In Situ Thin-Section Microscopy of Cell Cultures

1981 ◽  
Vol 39 ◽  
pp. 550-551
Author(s):  
Dean A. Handley ◽  
Jack T. Alexander ◽  
Shu Chien
Keyword(s):  
Cell Growth ◽  
Cell Cultures ◽  
Molecular Interactions ◽  
Convenient Method ◽  
Petri Dish ◽  
Simple Method ◽  
Thin Section Microscopy ◽  
Thin Sectioning ◽  
Organic Fluids

In situ preparation of cell cultures for ultrastructural investigations is a convenient method by which fixation, dehydration and embedment are carried out in the culture petri dish. The in situ method offers the advantage of preserving the native orientation of cell-cell interactions, junctional regions and overlapping configurations. In order to section after embedment, the petri dish is usually separated from the polymerized resin by either differential cryo-contraction or solvation in organic fluids. The remaining resin block must be re-embedded before sectioning. Although removal of the petri dish may not disrupt the native cellular geometry, it does sacrifice what is now recognized as an important characteristic of cell growth: cell-substratum molecular interactions. To preserve the topographic cell-substratum relationship, we developed a simple method of tapered rotary beveling to reduce the petri dish thickness to a dimension suitable for direct thin sectioning.

Development of a simple method for the determination of single nucleotide polymorphisms

2010 ◽  
Vol 34 (8) ◽  
pp. S75-S75
Author(s):  
Weifeng Zhu ◽  
Zhuoqi Liu ◽  
Daya Luo ◽  
Xinyao Wu ◽  
Fusheng Wan
Keyword(s):  
Single Nucleotide Polymorphisms ◽  
Nucleotide Polymorphisms ◽  
Simple Method ◽  
Single Nucleotide
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