Fuzzy Rule-Based Evidential Reasoning Approach for Safety Analysis
International Journal of General SystemsPublished 15 March 2004
Jun Liu, Jian‐Bo Yang, Jin Wang, How-Sing SII¶, Ying-Ming Wang
Citations134
SJR quartileQ2
SJR score0.56
SNIP1.17
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
TL;DR
A fuzzy rule-base designed on the basis of a belief structure is used to capture uncertainty and non-linear relationships between these parameters and the safety level and the inference of the rule-based system is implemented using the evidential reasoning algorithm.
Abstract
This paper aims at proposing a framework for modelling the safety of an engineering system with various types of uncertainties using a fuzzy rule-based evidential reasoning (FURBER) approach. In the framework, parameters used to define the safety level, including failure rate, failure consequence severity and failure consequence probability, are described using fuzzy linguistic variables; a fuzzy rule-base designed on the basis of a belief structure is used to capture uncertainty and non-linear relationships between these parameters and the safety level; and the inference of the rule-based system is implemented using the evidential reasoning algorithm. A numerical study of collision risk analysis for a kind of offshore platform is used to illustrate the application of the proposed approach.
Keywords
Decision SciencesEngineering
Fuzzy Sets and SystemsIntuitionistic fuzzy sets
16,153 Citations1986Krassimir Atanassov
Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.
Information SciencesThe concept of a linguistic variable and its application to approximate reasoning-III
12,148 Citations1975L. A. Zadeh
Much of what constitutes the core of scientific knowledge may be regarded as a reservoir of concepts and techniques which can be drawn upon to construct mathematical models of various types of systems and thereby yield quantitative information concerning their behavior.
Information SciencesThe concept of a linguistic variable and its application to approximate reasoning—I
12,036 Citations1975Lotfi A. Zadeh
It is shown that probabilities, too, can be treated as linguistic variables with values such as likely, very likely, unlikely, etc.
Fuzzy Set Theory—and Its Applications
7,484 Citations2001H.-J. Zimmermann
IEEE Transactions on Fuzzy SystemsType-2 fuzzy sets made simple
2,533 Citations2002Jerry M. Mendel, Robert John
Establishing a small set of terms that let us easily communicate about type-2 fuzzy sets and also let us define such sets very precisely, and presenting a new representation for type- 2 fuzzy sets, and using this new representation to derive formulas for union, intersection and complement of type-1 fuzzy sets without having to use the Extension Principle.
Fuzzy Set Theory — and Its Applications
2,312 Citations1991H.-J. Zimmermann
The book updates the research agenda with chapters on possibility theory, fuzzy logic and approximate reasoning, expert systems, fuzzy control, fuzzy data analysis, decision making and fuzzy set models in operations research.
Journal of the Royal Statistical Society Series B (Statistical Methodology)A Generalization of Bayesian Inference
1,971 Citations1968A. P. Dempster
Studies in fuzziness and soft computingIntuitionistic Fuzzy Sets
1,927 Citations1999Krassimir Atanassov
Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions
1,911 Citations2001Jerry M. Mendel
This chapter discusses Type-2 Fuzzy Sets, a New Direction for FLSs, and Relations and Compositions on different Product Spaces on Different Product Spaces, as well as operations on and Properties of Type-1 Non-Singleton Type- 2 FuzzY Sets.
Studies in fuzziness and soft computingA Generalization of Bayesian Inference
1,722 Citations2008Arthur P. Dempster
Procedures of statistical inference are described which generalize Bayesian inference in specific ways and some comments are made on the general class of models which produce upper and lower probabilities, and on the specific models which underlie the suggested inference procedures.
IEEE Transactions on Fuzzy SystemsType-2 fuzzy logic systems
1,619 Citations1999N.N. Karnik, Jerry M. Mendel +1 more
A type-2 fuzzy logic system (FLS) is introduced, which can handle rule uncertainties and its implementation involves the operations of fuzzification, inference, and output processing, which consists of type reduction and defuzzification.
Fuzzy Sets and SystemsAn application of intuitionistic fuzzy sets in medical diagnosis
958 Citations2001Supriya Kumar De, Ranjit Biswas +1 more
This paper studies the Sanchez's approach for medical diagnosis and extends this concept with the notion of intuitionistic fuzzy set theory (which is a generalization of fuzzySet theory).
IEEE Transactions on Systems Man and Cybernetics - Part A Systems and HumansOn the evidential reasoning algorithm for multiple attribute decision analysis under uncertainty
878 Citations2002Jianbo Yang, Dong‐Ling Xu
The fundamental features of the ER approach are investigated and new schemes for weight normalization and basic probability assignments are proposed to enhance the process of aggregating attributes with uncertainty.
IEEE Transactions on Systems Man and CyberneticsAn evidential reasoning approach for multiple-attribute decision making with uncertainty
785 Citations1994Jianbo Yang, M.G. Singh
A decision making procedure is proposed to rank alternatives in MADM problems with uncertainty to deal with uncertain decision knowledge in multiple-attribute decision making (MADM) problems with both quantitative and qualitative attributes.
Information and ControlSome properties of fuzzy sets of type 2
776 Citations1976M. Mizumoto, Kokichi Tanaka
This paper investigates the algebraic structures of fuzzy grades under the operations of join ⊔, meet ⊓, and negation ┐ which are defined by using the extension principle, and shows that convex fuzzy grades form a commutative semiring and normal convex fuzzies form a distributive lattice under ⊢ and ⊡.
European Journal of Operational ResearchRule and utility based evidential reasoning approach for multiattribute decision analysis under uncertainties
759 Citations2001Jian-Bo Yang
A generalised and extended decision matrix is constructed and rule and utility based techniques are developed for transforming various types of information within the matrix for aggregating attributes via ER that are equivalent with regard to underlying utility and rational in terms of preserving the features of original assessments.
Reliability Engineering & System SafetyFuzzy logic prioritization of failures in a system failure mode, effects and criticality analysis
671 Citations1995J.B. Bowles, Enrique Peláez
A new technique, based on fuzzy logic, for prioritizing failures for corrective actions in a Failure Mode, Effects and Criticality Analysis (FMECA), which allows the analyst to evaluate the risk associated with item failure modes directly using the linguistic terms that are employed in making the criticality assessment.
Choice Reviews OnlineThe fuzzy systems handbook: a practitioner's guide to building, using, and maintaining fuzzy systems
478 Citations1994
Fuzzy systems and fuzzy models the fuzzy world model fuzzy sets fuzzy logic approximate reasoning constructing a fuzzy system model case studies and advanced fuzzy system modelling techniques fuzzy database and objectbase operations.
HAL (Le Centre pour la Communication Scientifique Directe)Non-standard logics for automated reasoning
406 Citations1988Philippe Smets
Medical Entomology and ZoologyFuzzy Sets, Natural Language Computations, and Risk Analysis
343 Citations1983Kurt J. Schmucker
A new approach to analyze the risks a computer system may be subject to and a non-numeric method that allows natural language expression is presented.
IEEE Transactions on Systems Man and CyberneticsA general multi-level evaluation process for hybrid MADM with uncertainty
277 Citations1994Jianbo Yang, Pratyush Sen
A general multilevel evaluation process is developed in this paper for dealing with a multiple attribute decision making (MADM) problem with both quantitative and qualitative attributes.
IEEE Transactions on Systems Man and Cybernetics - Part A Systems and HumansNonlinear information aggregation via evidential reasoning in multiattribute decision analysis under uncertainty
212 Citations2002Jianbo Yang, Dong‐Ling Xu
This analytical investigation provides insights into the recursive nature of the ER approach as well as valuable experience that could be useful to other researchers and practitioners interested in developing and applying operation research/artificial intelligence (OR/AI)-based approaches for decision analysis under uncertainty.
Reliability Engineering & System SafetySafety analysis and synthesis using fuzzy sets and evidential reasoning
166 Citations1995J. Wang, Jianbo Yang +1 more
In this methodology, fuzzy set theory is used to describe each failure event and an evidential reasoning approach is then employed to synthesise the information thus produced to assess the safety of the whole system.
Information SciencesGeneralized probabilities of fuzzy events from fuzzy belief structures
161 Citations1982Ronald R. Yager
Under the condition of Bayesian belief structure a whole family of possible definitions for the probability of fuzzy sets is obtained and a procedure for including belief qualification in pruf is suggested.
Fuzzy Sets and SystemsPotential applications of fuzzy sets in industrial safety engineering
135 Citations1986Waldemar Karwowski, Anil Mital
The concept of risk evaluation, using linguistic representation of the likelihood of the occurrence of a hazardous event, exposure, and possible consequences of that event, and the approximate reasoning technique based on fuzzy logic is used to derive fuzzy values of risk.
IEEE Transactions on Systems Man and CyberneticsIncluding probabilistic uncertainty in fuzzy logic controller modeling using Dempster-Shafer theory
117 Citations1995Ronald R. Yager, Dimitar Filev
The authors use the Dempster-Shafer framework to provide a machinery for including randomness in the fuzzy systems modeling process and show how to represent additive noise in this combined framework.
Information SciencesInference procedures under uncertainty for the problem-reduction method
114 Citations1982Mitsuru Ishizuka, King‐Sun Fu +1 more
Rational inference procedures are described in this paper on the basis of established Bayesian theory and Dempster and Shafer's theory of evidence to include fuzzy knowledge.
Reliability Engineering & System SafetyMulti-person and multi-attribute design evaluations using evidential reasoning based on subjective safety and cost analyses
110 Citations1996J. Wang, Jianbo Yang +1 more
This paper presents an approach for ranking proposed design options based on subjective safety and cost analyses and is capable of dealing with problems of multiple designers, multiple attributes and multiple design options to select the best design.
Journal of Engineering DesignMultiple Attribute Design Evaluation of Complex Engineering Products Using the Evidential Reasoning Approach
90 Citations1997Jianbo Yang, Pratyush Sen
This paper reports the application of an evidential reasoning approach to design selection of retro-fit options for complex engineering products by means of techno-economic analysis and a real-world design selection problem involving the retro-fitting of a typical short sea ferry is examined in detail.
IEEE Transactions on Fuzzy SystemsA subjective methodology for safety analysis of safety requirements specifications
77 Citations1997J. Wang
The developed methodology is capable of dealing with multiple safety analysts who make judgements on each safety rule and can be synthesised using an evidential reasoning approach to obtain the safety evaluation associated with the safety requirements specifications.
International Journal of Man-Machine StudiesAn inexact inference for damage assessment of existing structures
75 Citations1985Haruo Ogawa, K. S. Fu +1 more
An inexact inference using AND/OR/COMB relation and Dempster's rule of combination to combine two fuzzy sets with certainty factors is introduced.
IEEE Transactions on Fuzzy SystemsFuzzy modeling and analytic hierarchy processing to quantify risk levels associated with occupational injuries. I. The development of fuzzy-linguistic risk levels
66 Citations1996Pamela McCauley-Bell, Adedeji B. Badiru
This paper presents the Part I in a two-phase research project to develop a fuzzy-linguistic expert system for quantifying and predicting the risk of occupational injury, specifically, cumulative trauma disorders of the forearm and hand.
International Journal of Intelligent SystemsFuzzy Dempster–Shafer reasoning for rule‐based classifiers
66 Citations1999Elisabetta Binaghi, P. Madella
Empirical tests show that classification benefits from the combination of the fuzzy and Dempster–Shafer models especially when conditions of lack of specifity among data are prevalent.
Safety and ReliabilityReview of Uncertainty Reasoning Approaches as Guidance for Maritime and Offshore Safety-Based Assessment
58 Citations2002J. Liu, J.B. Yang +2 more
This paper reviews some of the most important ones of Bayesian theory of probability, Dempster-Shafer theory of evidence, and fuzzy set theory, describe how they work and in what ways they differ from one another, and show their strength and weakness respectively.
Microelectronics ReliabilityFurther applications of fuzzy logic to reliability assessment and safety analysis
51 Citations1989A.Z. Keller, C. Kara‐Zaïtri
It is shown that fuzzy logic is a potential tool for creating expert bases in situations which are by nature imprecise and where quantitative data is either not available or appropriate.
Journal of Engineering DesignA Review of Safety Analysis Methods Applied to the Design Process
44 Citations1997J. Wang, T. Ruxton
Information SciencesAn extended rule-based inference for general decision-making problems
21 Citations1997Liang‐Hsuan Chen
This paper highlights the necessity of applying the rules with all possible consequent clauses in the procedure with the considerations of information quality and quantity, when applying the procedure to more general decision-making problems.
Collision Risk Analysis of FPSO-Tanker Offloading Operation
17 Citations2002Haibo Chen, Torgeir Moan
Safety and ReliabilityA Fuzzy-Logic-Based Approach to Subjective Safety Modelling for Maritime Products
13 Citations2001H. S. Sii, J. Wang +1 more
This paper focuses on the development and representation of linguistic variables to model risk levels subjectively using fuzzy sets, which provides a tool for working directly with the linguistic terms commonly used in carrying out safety assessment.