scholarly journals Stabilizers in EQ-algebras

2019 ◽  
Vol 17 (1) ◽  
pp. 998-1013
Author(s):  
Xiao Yun Cheng ◽  
Mei Wang ◽  
Wei Wang ◽  
Jun Tao Wang

Abstract The main goal of this paper is to introduce the notion of stabilizers in EQ-algebras and develop stabilizer theory in EQ-algebras. In the paper, we introduce (fuzzy) left and right stabilizers and investigate some related properties of them. Then, we discuss the relations among (fuzzy) stabilizers, (fuzzy) prefilters (filters) and (fuzzy) co-annihilators. Also, we obtain that the set of all prefilters in a good EQ-algebra forms a relative pseudo-complemented lattice, where Str(F, G) is the relative pseudo-complemented of F with respect to G. These results will provide a solid algebraic foundation for the consequence connectives in higher fuzzy logic.

2020 ◽  
Vol 39 (3) ◽  
pp. 4341-4348
Author(s):  
Jun Tao Wang ◽  
R. A. Borzooei ◽  
M. Aaly Kologani

In this paper, we characterize the algebraic structure of hoops via stabilizers. First, we further study left and right stabilizers in hoops and discuss the relationship between them. Then, we characterize some special classes of hoops, for example, Wajsberg hoops, local hoops, Gödel hoops and stabilizer hoops, in terms of stabilizers. Finally, we further determine the relationship between stabilizers and filters in hoops and obtain some improvement results. This results also give answer to open problem, which was proposed in [Stabilizers in MTL-algebras, Journal of Intelligent and Fuzzy Systems, 35 (2018) 717-727]. These results will provide a more general algebraic foundation for consequence connectives in fuzzy logic based on continuous t-norms.


Filomat ◽  
2018 ◽  
Vol 32 (5) ◽  
pp. 1783-1788 ◽  
Author(s):  
Xiaoyun Cheng ◽  
Xiaolong Xin ◽  
Juntao Wang ◽  
Pengfei He

The primary goal of this paper is to develop fuzzy stabilizer theory in BL-algebras. Two types of fuzzy stabilizers are introduced and their related properties are given. Also, the relationships between fuzzy stabilizers and several fuzzy filters are discussed. Finally, by means of fuzzy stabilizers, it is proven that the collection of all fuzzy filters in BL-algebras forms a residuated lattice. These results will provide a solid algebraic foundation for the consequence connectives in fuzzy logic.


Author(s):  
Ericka Janet Rechy-Ramirez ◽  
Huosheng Hu

A bio-signal-based human machine interface is proposed for hands-free control of a wheelchair. An Emotiv EPOC sensor is used to detect facial expressions and head movements of users. Nine facial expressions and up-down head movements can be chosen to form five commands: move-forward and backward, turn-left and right, and stop. Four uni-modal modes, three bi-modal modes, and three fuzzy bi-modal modes are created to control a wheelchair. Fuzzy modes use the users' strength in making the head movement and facial expression to adjust the wheelchair speed via a fuzzy logic system. Two subjects tested the ten modes with several command configurations. Means, minimum, and maximum values of the traveling times achieved by each subject in each mode were collected. Results showed that both subjects achieved the lowest mean, minimum and maximum traveling times using fuzzy modes. Statistical tests showed that there were significant differences between traveling times of fuzzy modes of subject B and traveling times of bi-modal modes and those of the respective fuzzy modes of both subjects.


2018 ◽  
Vol 15 (1) ◽  
pp. 172988141875576 ◽  
Author(s):  
Mario Rojas ◽  
Pedro Ponce ◽  
Arturo Molina

In this article, we present an obstacle avoidance controller implemented in a field programmable gate array for an electric wheelchair. It is based on a traditional approach with ultrasonic sensors and fuzzy logic. Various tests were conducted to characterize the prototype and to evaluate the controller performance. The results showed that the system is able to acquire data from sensors and make decisions 46.16 times per second. The sensors’ coverage extends 3 m to the front, rear, left, and right sides of the wheelchair; moreover, the sensors detect 0.95-cm diameter objects at 40 cm. The power consumption was evaluated, and it was found that the hardware architecture reduces the battery life by only 0.87%. Furthermore, the controller helped to navigate in confined areas, avoiding obstacles with cautious movements and decreasing the likelihood of collision. The proposed methodology uses data from eight sonars distributed around the wheelchair to make navigation decisions, besides the hardware-based architecture guarantees real-time control and on-time response.


2019 ◽  
Vol 3 (1) ◽  
pp. 70-79
Author(s):  
Muhammad Fakhriza ◽  
Muhammad Hadi Senoadji ◽  
Adelia Ananda ◽  
Khairani Maudi Pangestu

The application of fuzzy logic can be implemented in making simple robots, where the method used is the sugeno method, robo can move automatically, the robot is designed in a round shape has a tire that can move forward and backward, left and right, the robo can maintain a safe distance with the object in front of it. The results of this test indicate that the robot can work well with normal movement Keywords : fuzzy logic


Author(s):  
S. Trachtenberg ◽  
D. J. DeRosier

The bacterial cell is propelled through the liquid environment by means of one or more rotating flagella. The bacterial flagellum is composed of a basal body (rotary motor), hook (universal coupler), and filament (propellor). The filament is a rigid helical assembly of only one protein species — flagellin. The filament can adopt different morphologies and change, reversibly, its helical parameters (pitch and hand) as a function of mechanical stress and chemical changes (pH, ionic strength) in the environment.


Author(s):  
William P. Wergin ◽  
Eric F. Erbe

The eye-brain complex allows those of us with normal vision to perceive and evaluate our surroundings in three-dimensions (3-D). The principle factor that makes this possible is parallax - the horizontal displacement of objects that results from the independent views that the left and right eyes detect and simultaneously transmit to the brain for superimposition. The common SEM micrograph is a 2-D representation of a 3-D specimen. Depriving the brain of the 3-D view can lead to erroneous conclusions about the relative sizes, positions and convergence of structures within a specimen. In addition, Walter has suggested that the stereo image contains information equivalent to a two-fold increase in magnification over that found in a 2-D image. Because of these factors, stereo pair analysis should be routinely employed when studying specimens.Imaging complementary faces of a fractured specimen is a second method by which the topography of a specimen can be more accurately evaluated.


Author(s):  
R.V. Harrison ◽  
R.J. Mount ◽  
P. White ◽  
N. Fukushima

In studies which attempt to define the influence of various factors on recovery of hair cell integrity after acoustic trauma, an experimental and a control ear which initially have equal degrees of damage are required. With in a group of animals receiving an identical level of acoustic trauma there is more symmetry between the ears of each individual, in respect to function, than between animals. Figure 1 illustrates this, left and right cochlear evoked potential (CAP) audiograms are shown for two chinchillas receiving identical trauma. For this reason the contralateral ear is used as control.To compliment such functional evaluations we have devised a scoring system, based on the condition of hair cell stereocilia as revealed by scanning electron microscopy, which permits total stereociliar damage to be expressed numerically. This quantification permits correlation of the degree of structural pathology with functional changes. In this paper wereport experiments to verify the symmetry of stereociliar integrity between two ears, both for normal (non-exposed) animals and chinchillas in which each ear has received identical noise trauma.


Author(s):  
Jiang Xishan

This paper reports the growth step pattern and morphology at equilibrium and growth states of (Mn,Fe)S single crystal on the wall of micro-voids in ZG25 cast steel by using scanning electron microscope. Seldom report was presented on the growth morphology and steppattern of (Mn,Fe)S single crystal.Fig.1 shows the front half of the polyhedron of(Mn,Fe)S single crystal,its central area being the square crystal plane,the two pairs of hexagons symmetrically located in the high and low, the left and right with a certain, angle to the square crystal plane.According to the symmetrical relationship of crystal, it was defined that the (Mn,Fe)S single crystal at equilibrium state is tetrakaidecahedron consisted of eight hexagonal crystal planes and six square crystal planes. The macroscopic symmetry elements of the tetrakaidecahedron correpond to Oh—n3m symmetry class of fcc structure,in which the hexagonal crystal planes are the { 111 } crystal planes group,square crystal plaits are the { 100 } crystal planes group. This new discovery of the (Mn,Fe)S single crystal provides a typical example of the point group of Oh—n3m.


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