A Review of Systems Reliability Analysis Using Fuzzy Logic

2019 ◽  
pp. 362-377 ◽  
Author(s):  
Mohammad Abdolshah ◽  
Ali Samavi ◽  
Seyyed Amirmohammad Khatibi ◽  
Maryam Mamoolraftar
Keyword(s):  
Mathematical Modeling ◽  
Fuzzy Logic ◽  
Data Collection ◽  
Reliability Analysis ◽  
Set Theory ◽  
Real World ◽  
Fuzzy Set Theory ◽  
Probabilistic Approach ◽  
Real World Data ◽  
Fuzzy Logic Method

Reliability is one of the important aspects in product quality that shows efficiency or operation of the product, failure rate, and confidence. When the efficiency of the product is reduced below a desired level, the product is said to have failure. In real world, data collection or access of detailed features of the system is often difficult because of incomplete or unavailable information and probabilistic approach to the conventional reliability analysis. Therefore, to solve this problem, fuzzy set theory is used to evaluate system reliability. This research studies the literature on the reliability of fuzzy systems. Several studies have shown that fuzzy logic method can be more appropriate in comparison with classical methods and mathematical modeling.

scholarly journals Determination of the type of repair work based on the results of survey and monitoring of the technical condition of buildings

2020 ◽  
Vol 157 ◽  
pp. 06023 ◽  
Author(s):  
Aleksandr Birjukov ◽  
Anatoly Lebedkin ◽  
Yurii Birjukov ◽  
Viktor Pchelkin
Keyword(s):  
Mathematical Model ◽  
Fuzzy Logic ◽  
Set Theory ◽  
Fuzzy Set Theory ◽  
Technical Condition ◽  
Capital Investments ◽  
Repair Work ◽  
Fuzzy Logic Method ◽  
Maintenance Work

This article is devoted to structural scrutiny of a building. The technical condition of buildings affects such characteristics of a building as safety, reliability, durability and maintainability. However, in the absence of reliable information on the technical condition of buildings, structural survey or monitoring of а building in order to determine the category of technical condition is necessary. The purpose of this work is to develop an economic and mathematical model for determining the type of maintenance work based on the results of structural scrutiny and monitoring of a building. The article is of importance because the final stage of the survey gives a qualified opinion on the level of structural scrutiny of a building, and on the basis of this opinion repair work eliminating physical and moral deterioration and providing in accordance with specifications renovation of the building are planned. The scientific novelty of the economic and mathematical model developed by the authors on the results of building structural scrutiny lies in the application of the fuzzy set theory and fuzzy logic method for determining of the level of physical and moral deterioration of a building consistent with a certain type of repair work and followed by the necessary capital investments.

scholarly journals Fuzzy Logic in Aircraft Onboard Systems Reliability Evaluation—A New Approach

Sensors ◽  
2021 ◽  
Vol 21 (23) ◽  
pp. 7913
Author(s):  
Andrzej Żyluk ◽  
Konrad Kuźma ◽  
Norbert Grzesik ◽  
Mariusz Zieja ◽  
Justyna Tomaszewska
Keyword(s):  
Fuzzy Logic ◽  
Reliability Analysis ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Probabilistic Model ◽  
Expert Knowledge ◽  
Operation Time ◽  
Theory Approach ◽  
Operational Data

This paper is a continuation of research into the possibility of using fuzzy logic to assess the reliability of a selected airborne system. The research objectives include an analysis of statistical data, a reliability analysis in the classical approach, a reliability analysis in the fuzzy set theory approach, and a comparison of the obtained results. The system selected for the investigation was the aircraft gun system. In the first step, after analysing the statistical (operational) data, reliability was assessed using a classical probabilistic model in which, on the basis of the Weibull distribution fitted to the operational data, the basic reliability characteristics were determined, including the reliability function for the selected aircraft system. The second reliability analysis, in a fuzzy set theory approach, was conducted using a Mamdani Type Fuzzy Logic Controller developed in the Matlab software with the Fuzzy Logic Toolbox package. The controller was designed on the basis of expert knowledge obtained by a survey. Based on the input signals in the form of equipment operation time (number of flying hours), number of shots performed (shots), and the state of equipment corrosion (corrosion), the controller determines the reliability of air armament. The final step was to compare the results obtained from two methods: classical probabilistic model and fuzzy logic. The authors have proved that the reliability model using fuzzy logic can be used to assess the reliability of aircraft airborne systems.

scholarly journals Fuzzy Logic and Its Application in Football Team Ranking

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Wenyi Zeng ◽  
Junhong Li
Keyword(s):  
Fuzzy Logic ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Knowledge Based ◽  
Fuzzy Clustering Analysis ◽  
Football Team ◽  
Fuzzy Logic Method ◽  
Selection For ◽  
Sports Data

Fuzzy set theory and fuzzy logic are a highly suitable and applicable basis for developing knowledge-based systems in physical education for tasks such as the selection for athletes, the evaluation for different training approaches, the team ranking, and the real-time monitoring of sports data. In this paper, we use fuzzy set theory and apply fuzzy clustering analysis in football team ranking. Based on some certain rules, we propose four parameters to calculate fuzzy similar matrix, obtain fuzzy equivalence matrix and the ranking result for our numerical example,T7,T3,T1,T9,T10,T8,T11,T12,T2,T6,T5,T4, and investigate four parameters sensitivity analysis. The study shows that our fuzzy logic method is reliable and stable when the parameters change in certain range.

scholarly journals Metapopulation Patterns of Iberian Butterflies Revealed by Fuzzy Logic

Insects ◽  
2021 ◽  
Vol 12 (5) ◽  
pp. 392
Author(s):  
Antonio Pulido-Pastor ◽  
Ana Luz Márquez ◽  
José Carlos Guerrero ◽  
Enrique García-Barros ◽  
Raimundo Real
Keyword(s):  
Fuzzy Logic ◽  
Set Theory ◽  
Fuzzy Set Theory ◽  
Metapopulation Dynamics ◽  
Butterfly Species ◽  
Dynamics Analysis ◽  
Metapopulation Structure ◽  
Occurrence Data ◽  
Metapopulation Theory ◽  
The Cost

Metapopulation theory considers that the populations of many species are fragmented into patches connected by the migration of individuals through an interterritorial matrix. We applied fuzzy set theory and environmental favorability (F) functions to reveal the metapopulational structure of the 222 butterfly species in the Iberian Peninsula. We used the sets of contiguous grid cells with high favorability (F ≥ 0.8), to identify the favorable patches for each species. We superimposed the known occurrence data to reveal the occupied and empty favorable patches, as unoccupied patches are functional in a metapopulation dynamics analysis. We analyzed the connectivity between patches of each metapopulation by focusing on the territory of intermediate and low favorability for the species (F < 0.8). The friction that each cell opposes to the passage of individuals was computed as 1-F. We used the r.cost function of QGIS to calculate the cost of reaching each cell from a favorable patch. The inverse of the cost was computed as connectivity. Only 126 species can be considered to have a metapopulation structure. These metapopulation structures are part of the dark biodiversity of butterflies because their identification is not evident from the observation of the occurrence data but was revealed using favorability functions.

Fuzzy Logic

2012 ◽  
pp. 33-71 ◽  
Author(s):  
Siddhartha Bhattacharyya ◽  
Paramartha Dutta
Keyword(s):  
Fuzzy Logic ◽  
Real World ◽  
Fuzzy Inference ◽  
Real Life ◽  
Real World Data ◽  
World Data ◽  
Data Intensive ◽  
Logic Control ◽  
The Subject ◽  
Intelligent Management

The field of industrial informatics has emerged as one of the key disciplines for the purpose of intelligent management and dissemination of information in today’s world. With the advent of newer technical know-how, the subject of informative intelligence has assumed increasing importance in the industrial arena, thanks to the evolution of data intensive industry. Real world data exhibit varied amount of unquantifiable uncertainty in the information content. Conventional logic is often unable to explain the associated uncertainty and imprecision therein due to the principles of finiteness of observations and quantifying propositions employed. Fuzzy sets and fuzzy logic provide a logical framework for description of the varied amount of ambiguity, uncertainty and imprecision exhibited in real world data under consideration. The resultant fuzzy inference engine and the fuzzy logic control theory supplement the power of the framework in design of robust failsafe real life systems.

Fuzzy Set Theory Applied to Accounting Sciences

2020 ◽  
Vol 16 (01) ◽  
pp. 1-16
Author(s):  
Carmen Lozano ◽  
Enriqueta Mancilla-Rendón
Keyword(s):  
Social Sciences ◽  
Fuzzy Logic ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Hamming Distance ◽  
Great Acceptance ◽  
Classical Mathematics ◽  
Triangular Numbers ◽  
And Mathematics

Fuzzy set theory and fuzzy logic have been successfully developed in engineering and mathematics. However, these concepts have found great acceptance in social sciences in recent years since they provide an answer to those problems in the real world that cannot be modeled using classical mathematics. In this paper, we propose a new methodology for accounting science based on fuzzy triangular numbers. The methodology uses Hamming distance between fuzzy triangular numbers and arithmetic operations to evaluate corporate governance of multinational public stock corporations (PSCs) in the telecommunications sector.

Fuzzy Logic in the Broad Sense

2017 ◽  
Author(s):  
Radim Bělohlávek ◽  
Joseph W. Dauben ◽  
George J. Klir
Keyword(s):  
Fuzzy Logic ◽  
Fuzzy Sets ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Human Reasoning ◽  
Human Beings ◽  
Real Numbers ◽  
New Directions ◽  
Gradual Development

The chapter begins by introducing the important and useful distinction between the research agendas of fuzzy logic in the narrow and the broad senses. The chapter deals with the latter agenda, whose ultimate goal is to employ intuitive fuzzy set theory for emulating commonsense human reasoning in natural language and other unique capabilities of human beings. Restricting to standard fuzzy sets, whose membership degrees are real numbers in the unit interval [0,1], the chapter describes how this broad agenda has become increasingly specific via the gradual development of standard fuzzy set theory and the associated fuzzy logic. An overview of currently recognized nonstandard fuzzy sets, which open various new directions in fuzzy logic, is presented in the last section of this chapter.

scholarly journals Comparison of Cycling Behavior between Keyboard-Controlled and Instrumented Bicycle Experiments in Virtual Reality

2020 ◽  
Vol 2674 (7) ◽  
pp. 244-257
Author(s):  
Martyna Bogacz ◽  
Stephane Hess ◽  
Chiara Calastri ◽  
Charisma F. Choudhury ◽  
Alexander Erath ◽  
...  
Keyword(s):  
Virtual Reality ◽  
Experimental Design ◽  
Data Collection ◽  
Real World ◽  
Head Movements ◽  
Behavioral Data ◽  
Experimental Setup ◽  
Real World Data ◽  
World Data ◽  
Cycling Behavior

The use of virtual reality (VR) in transport research offers the opportunity to collect behavioral data in a controlled dynamic setting. VR settings are useful in the context of hypothetical situations in which real-world data does not exist or in situations which involve risk and safety issues making real-world data collection infeasible. Nevertheless, VR studies can contribute to transport-related research only if the behavior elicited in a virtual environment closely resembles real-world behavior. Importantly, as VR is a relatively new research tool, the best-practice with regards to the experimental design is still to be established. In this paper, we contribute to a better understanding of the implications of the choice of the experimental setup by comparing cycling behavior in VR between two groups of participants in similar immersive scenarios, the first group controlling the maneuvers using a keyboard and the other group riding an instrumented bicycle. We critically compare the speed, acceleration, braking and head movements of the participants in the two experiments. We also collect electroencephalography (EEG) data to compare the alpha wave amplitudes and assess the engagement levels of participants in the two settings. The results demonstrate the ability of VR to elicit behavioral patterns in line with those observed in the real-world and indicate the importance of the experimental design in a VR environment beyond the choice of audio-visual stimuli. The findings will be useful for researchers in designing the experimental setup of VR for behavioral data collection.

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