scholarly journals Graded Rough Sets based on Neighborhood Operator Over two Different Universes and its Application

2021 ◽  
Author(s):  
Ahmed Mostafa Khalil
Keyword(s):  
Decision Making ◽  
Rough Set ◽  
Rough Sets ◽  
The Other ◽  
Type I ◽  
Type Ii ◽  
Type Iii ◽  
Other Hand ◽  
Decision Methods ◽  
Neighborhood Rough Sets

Abstract Abstract The major concern of this paper is to present the notion of rough set based on neighborhood operator on universe set, along with its properties, and examples. Then, we generalize several notions of covering rough sets to neighborhood rough sets with respect to the graded n. Further, we present some notions such as probabilistic neighborhood rough approximations of X, (Type-I / Type-II) probabilistic neighborhood rough approximations of X with error α and β, and (Type-I / Type-II) probabilistic neighborhood rough approximations of X with respect to N . The interesting properties of above notions are investigated in detail. On the other hand, we define the notion of rough set based on neighborhood operator over two different universes. Subsequently, we present some notions (Type-I / Type-II / Type-III) graded n-neighborhood rough sets and give a two approaches to decision-making problems based on the (Type-II / Type-III) grade n-neighborhood rough sets. Then, we construct the decision steps and give two algorithms of the decision methods. Also, we will give two illustrative examples to show the applicability of the rough set based on neighborhood operator over two different universes to solve the rough decision-making problems. Finally, we give a comparison between the Liu et al.’s approach and our approach.

scholarly journals New Multigranulation Neutrosophic Rough Set with Applications

Symmetry ◽  
2018 ◽  
Vol 10 (11) ◽  
pp. 578 ◽  
Author(s):  
Chunxin Bo ◽  
Xiaohong Zhang ◽  
Songtao Shao ◽  
Florentin Smarandache
Keyword(s):  
Decision Making ◽  
Rough Set ◽  
Neutrosophic Set ◽  
Type I ◽  
Type Ii ◽  
Type Iii ◽  
Proposed Model ◽  
Definition Of ◽  
Two Universes ◽  
Special Case

After the neutrosophic set (NS) was proposed, NS was used in many uncertainty problems. The single-valued neutrosophic set (SVNS) is a special case of NS that can be used to solve real-word problems. This paper mainly studies multigranulation neutrosophic rough sets (MNRSs) and their applications in multi-attribute group decision-making. Firstly, the existing definition of neutrosophic rough set (we call it type-I neutrosophic rough set (NRSI) in this paper) is analyzed, and then the definition of type-II neutrosophic rough set (NRSII), which is similar to NRSI, is given and its properties are studied. Secondly, a type-III neutrosophic rough set (NRSIII) is proposed and its differences from NRSI and NRSII are provided. Thirdly, single granulation NRSs are extended to multigranulation NRSs, and the type-I multigranulation neutrosophic rough set (MNRSI) is studied. The type-II multigranulation neutrosophic rough set (MNRSII) and type-III multigranulation neutrosophic rough set (MNRSIII) are proposed and their different properties are outlined. We found that the three kinds of MNRSs generate tcorresponding NRSs when all the NRs are the same. Finally, MNRSIII in two universes is proposed and an algorithm for decision-making based on MNRSIII is provided. A car ranking example is studied to explain the application of the proposed model.

Electrophysiological Characteristics of Classes of Neuron in the HVc of the Zebra Finch

1998 ◽  
Vol 80 (2) ◽  
pp. 914-923 ◽  
Author(s):  
Michinori Kubota ◽  
Ikuo Taniguchi
Keyword(s):  
Action Potential ◽  
Zebra Finch ◽  
Action Potential Duration ◽  
The Other ◽  
Time Dependent ◽  
Inward Rectification ◽  
Type I ◽  
Type Ii ◽  
Type Iii ◽  
Type Iv

Kubota, Michinori and Ikuo Taniguchi. Electrophysiological characteristics of classes of neuron in the HVc of the zebra finch. J. Neurophysiol. 80: 914–923, 1998. Whole cell recordings were made from zebra finch HVc neurons in slice preparations. Four distinct classes of neuron were found on the basis of their electrophysiological properties. The morphological characteristics of some of these neurons were also examined by intracellular injection of Lucifer yellow. Type I neurons (21 of 65 cells) had longer time-to-peak of an afterhyperpolarization following an action potential than the other classes. They exhibited both fast and time-dependent inward rectification and an initial high-frequency firing followed by a slower constant firing. Type I neurons had large somata and thick dendrites with many spines. The axons of some of the neurons in this class projected in the direction of area X of the parolfactory lobe. Type II neurons (30 of 65 cells) had a more negative resting membrane potential than the other classes. They exhibited fast inward rectification. Type II neurons could be divided into two subclasses by the absence (IIa; 22 cells) and the presence (IIb; 8 cells) of a low-threshold transient depolarization. Type IIa neurons had relatively small somata and thin, spiny dendrites. The axons of some of the neurons in this class projected in the direction of the robust nucleus of the archistriatum (RA). Type IIb neurons had relatively large somata and thick dendrites with many spines. Type III neurons (6 of 65 cells) had a shorter action-potential duration than the other classes. They exhibited prominent time-dependent inward rectification and a regular tonic firing with little or no accommodation. Type III neurons had beaded, aspiny dendrites. Type IV neurons (8 of 65 cells) had a longer action-potential duration, a much larger input resistance, and longer membrane time constant than the other classes. Type IV neurons had small somata and thin, short, sparsely spiny dendrites. The axons of some of the neurons in this class projected in the direction of the RA. These classes of neuron may play distinct roles in song production and representation in the HVc.

scholarly journals THE MOLECULAR WEIGHT OF ANTIBODIES

1937 ◽  
Vol 65 (3) ◽  
pp. 393-414 ◽  
Author(s):  
Michael Heidelberger ◽  
Kai O. Pedersen
Keyword(s):  
Molecular Weight ◽  
Molecular Species ◽  
Principal Component ◽  
The Other ◽  
Type I ◽  
Egg Albumin ◽  
Type Iii ◽  
Sedimentation Constant ◽  
Other Hand ◽  
Immune Rabbit

1. Highly purified rabbit Type III pneumococcus anticarbohydrate proved to be homogeneous in the ultracentrifuge and its sedimentation constant, 7.0·10–13, did not differ from that of the principal component of normal rabbit globulin or of immune rabbit globulin containing up to 50 per cent of anti-egg albumin. The molecular weight of antibody in the rabbit is therefore probably very close to that of the principal normal globulin component, namely, 150,000. 2. Highly purified horse Type I pneumococcus anticarbohydrate, on the other hand, was only homogeneous in the ultracentrifuge when prepared from sera stored without preservative. Its sedimentation constant, 18.4·10–13, coincided with that of the principal globulin component in most of the Felton solutions and purified antibody solutions studied. The molecular weight of pneumococcus anticarbohydrate in the horse is probably three to four times that of the principal normal globulin component. 3. The significance of the differences between pneumococcus anticarbohydrate formed in the rabbit and in the horse is discussed. 4. Results are given of ultracentrifuge studies on the molecular species in solutions of egg albumin-anti-egg albumin specific precipitates dissolved in excess egg albumin. The implications of the results are discussed.

scholarly journals Picture Fuzzy Rough Set and Rough Picture Fuzzy Set on Two Different Universes and Their Applications

2020 ◽  
Vol 2020 ◽  
pp. 1-17
Author(s):  
Dliouah Ahmed ◽  
Binxiang Dai
Keyword(s):  
Rough Set ◽  
Rough Sets ◽  
Fuzzy Relation ◽  
Type I ◽  
Type Ii ◽  
Fuzzy Rough Set ◽  
Fuzzy Approximation ◽  
Picture Fuzzy Set ◽  
Decision Making Problem ◽  
Picture Fuzzy Sets

The major concern of this article is to propose the notion of picture fuzzy rough sets (PFRSs) over two different universes which depend on δ , ζ , ϑ -cut of picture fuzzy relation ℛ on two different universes (i.e., by combining picture fuzzy sets (PFSs) with rough sets (RSs)). Then, we discuss several interesting properties and related results on the PFRSs. Furthermore, we define some notions related to PFRSs such as (Type-I/Type-II) graded PFRSs, the degree α and β with respect to ℛ δ , ζ , ϑ on PFRSs, and (Type-I/Type-II) generalized PFRSs based on the degree α and β with respect to ℛ δ , ζ , ϑ and investigate the basic properties of above notions. Finally, an approach based on the rough picture fuzzy approximation operators on two different universes in decision-making problem is introduced, and we give an example to show the validity of this approach.

scholarly journals A semantic typology of location, existence, possession and copular verbs: areal patterns of polysemy in Mainland East and Southeast Asia

Linguistics ◽  
2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Hilary Chappell ◽  
Shanshan Lü
Keyword(s):  
Southeast Asia ◽  
The Other ◽  
Type I ◽  
Type Ii ◽  
Type Iii ◽  
Type Iv ◽  
Diachronic Change ◽  
East And Southeast Asia ◽  
The One ◽  
Semantic Typology

Abstract This study is based on a sample of 116 languages from the Mainland East and Southeast Asian linguistic area. Its first objective is to examine four distinct synchronic patterns of areal polysemy, created by the semantic domains of copular, locative, existential and possessive verbs and the constructions they form. As a consequence, its second objective is to model the diachronic change underlying four language types identified on this basis from the data. We argue that there are three grammaticalization pathways which motivate the four synchronic patterns: Type III languages are distinguished by the grammaticalization chain: (Postural verb) > (Dwell) > Locative > Existential > Possessive, while the other two types, Type II and Type IV, show an opposing pathway: (Grasp) > Possessive > Existential. Type I and Type II languages additionally reveal a recurrent polysemy between Locative and Copular verbs. On this basis, an implicational universal is adduced to the effect that no diachronic adjacency exists between locative and possessive constructions. Crucially, the intervening stage of an existential construction provides the necessary bridging context for possessive reanalysis in this first pathway, while possessive verbs are formally distinct from locatives in the second, bearing no diachronic relationship to them. The findings on the patterns of polysemy sharing reinforce the notion of a clear typological split between Tibeto-Burman languages on the one hand, and Sinitic, Kra–Dai, Hmong–Mien, and Austroasiatic on the other.

Viability and Adaptability of E. coli. and Enterococcus Group to Salt Water with High Concentration of Sodium Chloride

1982 ◽  
Vol 14 (4-5) ◽  
pp. 115-126 ◽  
Author(s):  
T Omura ◽  
M Onuma ◽  
Y Hashimoto
Keyword(s):  
Sodium Chloride ◽  
Salt Water ◽  
The Other ◽  
Type I ◽  
Citrobacter Freundii ◽  
Type Ii ◽  
High Concentration ◽  
E Coli ◽  
Rapid Extinction ◽  
Other Hand

Some experiments were carried out to examine the adaptability of E. coli. and enterococcus group to salt water with high concentration of sodium chloride after the experiments on viability in this salt water. Unlike E. coli. type I, when E.coli. type II was repeatedly exposed to salt water, the survival of E.coli. type II was changed from rapid extinction to multiplication as the experiments went on. At the same time, it was also made clear by means of the IMViC test that E.coli. type II was replaced by Citrobacter freundii as E.coli. type II adapted itself to salt water. The enterococcus group was separated into four distinct types; S. faecalis, S. faecalis var. liquefaciens, S. faecium and S. durans. The results of the experiments on viability in salt water indicated that S. faecalis var. liquefaciens possessed the greatest viability, and S. faecium the weakest. From the results of the experiments on adaptability, it was found that each type of enterococcus group had a different adaptability to salt water. In spite of the weakest viability, S. faecium could adapt itself to salt water as well as S. faecalis and S. faecalis var. liquefaciens. On the other hand, S. durans could not adapt itself to salt water at all.

Statoacoustic properties of utricular afferents

1979 ◽  
Vol 42 (5) ◽  
pp. 1479-1493 ◽  
Author(s):  
R. Budelli ◽  
O. Macadar
Keyword(s):  
Firing Rate ◽  
Spontaneous Activity ◽  
Stimulus Frequency ◽  
Head Movements ◽  
The Other ◽  
Dynamic Responses ◽  
Type I ◽  
Type Ii ◽  
Type Iii ◽  
Sensitivity Curves

1. We classified the utricular afferents on the basis of their spontaneous acitivity and responses to tilts and vibrations. 2. Type I afferents fire spontaneously in a regular pattern; their responses to tilts consist of a phasic-tonic change in firing rate. They may respond to vibrations by increasing or decreasing their rate and show no adaptation. 3. The spontaneous activity and the responses to tilts of type II are similar to those observed in type I afferents. The differences become apparent when the preparation is subjected to a vibrational stimulus, since type II neurons increase their firing rate regardless of the stimulus frequency and show adaptation. 4. Type III neurons have no spontaneous activity. They respond to tilts by firing during the transition from one position to the other. They respond to a vibrational stimulus with maintained firing and show no adaptation. 5. We studied the dynamic responses of each type of neuron. We used sensitivity curves for the study of type III afferents and proposed a statistical method to define gain curves for the study of the other types. 6. The gain curves generated by type I neurons reach their maximum at frequencies of stimulation close to the spontaneous rate of firing. 7. In the gain curves of type II afferents the maximum corresponds to frequencies higher than their spontaneous activity. 8. Sensitivity curves and gain curves give similar results for type III fibers. The sensitivity curves of these afferents were classified into four subtypes. 9. We studied the responses of the three types of afferents to bursts of sinusoidal vibrations. 10. We concluded that the properties of types I and II fibers are fit to carry information about movements and position of the head, but also transmit acoustical information. Type III fibers are more adapted to provide information about acoustical stimuli, but can also convey information about head movements.

scholarly journals Effects of large-scale AGN feedback in local galaxies

2012 ◽  
Vol 8 (S292) ◽  
pp. 375-375
Author(s):  
Stanislav Shabala ◽  
Sugata Kaviraj ◽  
Joseph Silk
Keyword(s):  
Star Formation ◽  
Active Galactic Nucleus ◽  
Large Scale ◽  
The Other ◽  
Type I ◽  
Type Ii ◽  
Powerful Radio ◽  
Cluster Galaxies ◽  
Other Hand ◽  
Bow Shocks

AbstractThe effects of active galactic nucleus (AGN) feedback on group and cluster galaxies are investigated. We examine the colors of non-AGN hosts (i.e. satellite galaxies) by comparing galaxies overrun by radio AGN with similar galaxies located outside the radio AGN contours. We find that powerful Fanaroff-Riley type II (edge-brightened) radio AGN truncate star formation in the galaxies overrun by AGN-driven bow shocks. On the other hand, the ubiquitous Fanaroff-Riley type I (core-dominated) AGN do not affect neighboring galaxies. This result shows that, despite their rarity, feedback from powerful radio AGN is an important factor in the evolution of group/cluster galaxies.

scholarly journals ANTIPNEUMOCOCCIC IMMUNITY REACTIONS IN INDIVIDUALS OF DIFFERENT AGES

1932 ◽  
Vol 55 (6) ◽  
pp. 837-852 ◽  
Author(s):  
W. D. Sutliff ◽  
Maxwell Finland
Keyword(s):  
Relative Frequency ◽  
Age Distribution ◽  
Intermediate Frequency ◽  
The Other ◽  
Type I ◽  
Type Ii ◽  
Human Beings ◽  
Skin Reactions ◽  
Specific Antibodies ◽  
Type Iii

1. The incidence of pneumococcidal power of the whole defibrinated blood in human beings has been shown to vary with age. The age distribution of other type-specific antibodies varies similarly, insofar as they are frequent enough to be compared or technically demonstrable. 2. The incidence of pneumococcidal power of the whole defibrinated blood for Type I, Type II, and Type III differs. Type I is the rarest, Type II is the most frequent, and Type III is of intermediate frequency. The type-specific antibodies responsible for the other tests employed show a similar relative frequency in regard to Types I and II, but some variation in regard to Type III. 3. The skin reactions to the acetic acid-predpitable proteins and autolysates of the pneumococci are negative or rarely positive in infants, infrequently positive in childhood, and positive in a high percentage of adults.

Labelling of non-A, non-B hepatitis infected chimpanzee hepatocytes with nuclease-gold conjugates

1984 ◽  
Vol 42 ◽  
pp. 250-251
Author(s):  
G. D. Gagne ◽  
M. F. Miller ◽  
D. A. Peterson
Keyword(s):  
Endoplasmic Reticulum ◽  
Experimental Infection ◽  
Uranyl Acetate ◽  
Type I ◽  
Cellular Injury ◽  
Type Ii ◽  
Tubular Structures ◽  
Type Iii ◽  
Type Iv ◽  
Infected Chimpanzee

Experimental infection of chimpanzees with non-A, non-B hepatitis (NANB) or with delta agent hepatitis results in the appearance of characteristic cytoplasmic alterations in the hepatocytes. These alterations include spongelike inclusions (Type I), attached convoluted membranes (Type II), tubular structures (Type III), and microtubular aggregates (Type IV) (Fig. 1). Type I, II and III structures are, by association, believed to be derived from endoplasmic reticulum and may be morphogenetically related. Type IV structures are generally observed free in the cytoplasm but sometimes in the vicinity of type III structures. It is not known whether these structures are somehow involved in the replication and/or assembly of the putative NANB virus or whether they are simply nonspecific responses to cellular injury. When treated with uranyl acetate, type I, II and III structures stain intensely as if they might contain nucleic acids. If these structures do correspond to intermediates in the replication of a virus, one might expect them to contain DNA or RNA and the present study was undertaken to explore this possibility.

Sign in / Sign up

Export Citation Format

Share Document