scholarly journals Study on Posbist Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-7 ◽  
Author(s):  
Subarna Bhattacharjee ◽  
Asok K. Nanda ◽  
S. S. Alam
Keyword(s):  
Probability Theory ◽  
Distribution Function ◽  
Possibility Theory ◽  
Reliability Theory ◽  
Lifetime Distribution ◽  
Possibility Distribution ◽  
Fuzzy Reliability ◽  
Fuzzy State ◽  
State Assumption

The probability theory, in general, with the help of the dichotomous state develops the theory of reliability. Recently, the fuzzy reliability has been developed based on the concept of possibility distribution and fuzzy-state assumption. In this paper, we derive the possibility distribution function and discuss the properties of a k-out-of-n (1≤k≤n) system based on the assumption of the possibility theory and keeping the dichotomous state of the system unchanged when the lifetime distribution is either normal, Cauchy, or exponential. A few results contrary to the conventional reliability theory are obtained.

Research on the Credibility of Fuzzy Reliability

2011 ◽  
Vol 48-49 ◽  
pp. 984-988 ◽  
Author(s):  
Ling Ling Li ◽  
Fen Fen Zhu ◽  
Chun Wen Yang ◽  
Zhi Gang Li
Keyword(s):  
Distribution Function ◽  
Engineering Design ◽  
Distribution Curve ◽  
Fuzzy Theory ◽  
Possibility Theory ◽  
Credibility Theory ◽  
Fuzzy Information ◽  
Reliability Engineering ◽  
Possibility Distribution ◽  
Fuzzy Reliability

According to the situation of randomness and fuzziness existing in the actual project, this paper proposed a reliability-credibility model based on fuzzy theory, possibility theory and credibility theory. At firstly, a reliability-possibility distribution curve was constructed by the traditional stress-strength interference model, then, a reliability distribution function was established based on this. This model built a bridge between credibility and reliability in handling randomness and fuzziness. The research results show that the model can hand the situation of random information and fuzzy information coexistence well, and the acceptable level of reliability and the most credible reliability value can be reflected directly in the reliability-credibility distribution curve. Compared with other methods, it obtains more reliability information, accords with the actual engineering situation and guides reliability engineering design much better.

scholarly journals System Reliability Analysis Based On Weibull Distribution and Hesitant Fuzzy Set

2018 ◽  
Vol 3 (4) ◽  
pp. 513-521 ◽  
Author(s):  
Akshay Kumar ◽  
Mangey Ram
Keyword(s):  
System Reliability ◽  
Fuzzy Number ◽  
Reliability Function ◽  
Reliability Theory ◽  
Lifetime Distribution ◽  
Hesitant Fuzzy Set ◽  
Fuzzy Reliability ◽  
Averaging Operator ◽  
Cut Set ◽  
Better Than

This work deals with the hesitant fuzzy number and averaging operator and fuzzy reliability with the help of Weibull lifetime distribution. Fuzzy reliability function and triangular hesitant fuzzy number also computed with α-cut set of the proposed reliability function. After applying the averaging operator of hesitant theory, the results are better than simple fuzzy. Also at last, a numerical example has been shown that how the hesitant fuzzy and α-cut work in case of reliability theory.

Design and research of a novel type of mechanical presses driven by three servo motors in parallel

2012 ◽  
Vol 227 (3) ◽  
pp. 580-591 ◽  
Author(s):  
Xun Huang ◽  
Chunxiang Ma ◽  
Suxing Wu ◽  
Qian Wang ◽  
Zhibo Wang ◽  
...  
Keyword(s):  
Probability Theory ◽  
Forward Kinematics ◽  
Generalized Function ◽  
Engineering Practice ◽  
Drawing Process ◽  
Fuzzy Probability ◽  
Fuzzy Reliability ◽  
Deep Drawing Process ◽  
Computing Method ◽  
Fuzzy Probability Theory

A novel type of mechanical presses design driven by three servo motors in parallel is proposed to develop high stamping capacity based on the theory of generalized function sets, and then is improved to enhance its practicability in engineering practice. The inverse and forward kinematics analyses are conducted later. Based on the fuzzy probability theory, the computing method of fuzzy reliability of kinematic accuracy of slider is then obtained. Finally, with a set of optimized length parameters of the presses given, the fuzzy reliability is calculated, on the basis of which a typical deep-drawing process is simulated.

Study on Fuzzy Reliability of Shaft Fixing Grinding Wheel in Internal Grinding

2006 ◽  
Vol 304-305 ◽  
pp. 218-221
Author(s):  
Chun Xiang Ma ◽  
Z.H. Qu ◽  
Q.J. Wu ◽  
Zhen Ruan ◽  
Li Ming Xu
Keyword(s):  
Probability Theory ◽  
Fatigue Strength ◽  
Set Theory ◽  
Fuzzy Set Theory ◽  
Grinding Wheel ◽  
Reliability Model ◽  
Fuzzy Probability ◽  
Fuzzy Reliability ◽  
Internal Grinding ◽  
Fuzzy Probability Theory

The fuzzy allowable intervals of the deflection, the vibration frequency and the fatigue strength of the shaft fixing grinding wheel are proposed in present paper based fuzzy set theory. According to fuzzy probability theory, the fuzzy reliability model of the rigidity, the fuzzy reliability model of the vibration and the fuzzy reliability model of the fatigue for the shaft fixing grinding wheel in internal grinding are given. The method is put into real example.

POSSIBILISTIC SONAR DATA MODELING FOR MOBILE ROBOTS

1999 ◽  
Vol 07 (02) ◽  
pp. 173-198 ◽  
Author(s):  
K. DEMIRLI ◽  
M. MOLHIM ◽  
A. BULGAK
Keyword(s):  
Probability Theory ◽  
Mobile Robots ◽  
Data Modeling ◽  
Possibility Theory ◽  
Sensor Design ◽  
Map Building ◽  
Sonar Sensors ◽  
New Models ◽  
Possibility Distributions ◽  
Target Characteristics

Sonar sensors are widely used in mobile robots applications such as navigation, map building, and localization. The performance of these sensors is affected by the environmental phenomena, sensor design, and target characteristics. Therefore, the readings obtained from these sensors are uncertain. This uncertainity is often modeled by using Probability Theory. However, the probablistic approach is valid when the available knowledge is precise which is not the case in sonar readings. In this paper, the behavior of sonar readings reflected from walls and corners are studied, then new models of angular uncertainty and radial imprecision for sonar readings obtained from corners and walls are proposed. These models are represented by using Possibility Theory, mainly possibility distributions.

Optimization for Spindle of Jade Carving Machine Based on Fuzzy Reliability Theory

2010 ◽  
Vol 37-38 ◽  
pp. 801-805
Author(s):  
Huai Rong Shi ◽  
Yan Nian Rui
Keyword(s):  
Reliability Theory ◽  
Fuzzy Reliability ◽  
Design Quality ◽  
Combined Model ◽  
Mechanical Process ◽  
Fuzzy Variables ◽  
Mechanical Products ◽  
Machine Spindle ◽  
Full Consideration

In machines working under the effect of alternating stresses, the fatigue bending deflection occured occasionally. On the basis of the Fuzzy Reliability Theory and with full consideration of the fuzzy factors during mechanical process, the paper studied the fuzzy reliability optimal design for the hollow spindle of multi-functional jade carving machine and improved the design quality of the jade carving machine spindle by probing into the combined model constructed by the random variables and fuzzy variables. The design was approved to be advanced, reliable and practical in service and provided a new way for the design of multifunctional jade carving machine spindle and other mechanical products.

scholarly journals On Distribution Characteristics of a Fuzzy Random Variable

2018 ◽  
Vol 47 (2) ◽  
pp. 53-67 ◽  
Author(s):  
Jalal Chachi
Keyword(s):  
Probability Theory ◽  
Distribution Function ◽  
Cumulative Distribution Function ◽  
Random Variables ◽  
Fuzzy Random Variable ◽  
Random Variable ◽  
Cumulative Distribution ◽  
Distribution Characteristics ◽  
Fuzzy Random Variables ◽  
Fuzzy Random

In this paper, rst a new notion of fuzzy random variables is introduced. Then, usingclassical techniques in Probability Theory, some aspects and results associated to a randomvariable (including expectation, variance, covariance, correlation coecient, etc.) will beextended to this new environment. Furthermore, within this framework, we can use thetools of general Probability Theory to dene fuzzy cumulative distribution function of afuzzy random variable.

Fuzzy Reliability Theory

2021 ◽  
pp. 222-259
Author(s):  
Ingrid N. Pinto-López ◽  
Cynthia M. Montaudon-Tomas
Keyword(s):  
United States ◽  
Bibliometric Analysis ◽  
Science Research ◽  
The United States ◽  
Reliability Theory ◽  
Fuzzy Reliability ◽  
Avant Garde ◽  
China And India ◽  
The World ◽  
The Uk

This chapter analyzes fuzzy reliability theory using bibliometric analysis. Different aspects of fuzzy have already been analyzed using bibliometric analysis, and a series of bibliometric tools have also been used. VOSviewer software was used to identify maps showing the most relevant trends. The analysis includes scientific articles, citations, journals, authors, universities, keywords, and countries. Results show that countries belonging mainly to Asia are at the avant-garde in terms of research in the field, China and India being the most productive countries in terms of the number of articles published, citations, and universities invested in the topic. Other countries in North America, such as Canada and the United States, and in Europe, the UK, Poland, Italy, and France, also show a great interest in this area of science. Research on the topic is relatively recent. The first articles were published in 1991; therefore, it presents excellent opportunities that will quite possibly attract researchers and universities from different regions of the world.

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