Fuzzy weighted averages and implementation of the extension principle
Fuzzy Sets and Systems
Vertex method for computing functions of fuzzy variables
Fuzzy Sets and Systems
Engineering design calculations with fuzzy parameters
Fuzzy Sets and Systems
Calculating functions of fuzzy numbers
Fuzzy Sets and Systems
Approximating &agr;-cuts with the vertex method
Fuzzy Sets and Systems
Fuzzy Sets and Systems - Special issue on fuzzy relations, part 1
Fuzzy arithmetic with requisite constraints
Fuzzy Sets and Systems - Special issue: fuzzy arithmetic
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
Interval and fuzzy dynamic analysis of finite element models with superelements
Computers and Structures
The extension principle and a decomposition of fuzzy sets
Information Sciences: an International Journal
Simulation of discrete linear time-invariant fuzzy dynamic systems
Fuzzy Sets and Systems
A new uncertainty analysis for the transformation method
Fuzzy Sets and Systems
Engineering computation under uncertainty - Capabilities of non-traditional models
Computers and Structures
Partitioning total variance in risk assessment: Application to a municipal solid waste incinerator
Environmental Modelling & Software
An approximation to the extension principle using decomposition of fuzzy intervals
Fuzzy Sets and Systems
A mode-based meta-model for the frequency response functions of uncertain structural systems
Computers and Structures
Real-time constrained fuzzy arithmetic
IEEE Transactions on Fuzzy Systems
Computing expensive multivariate functions of fuzzy numbers using sparse grids
Fuzzy Sets and Systems
Using fuzzy real options in a brownfield redevelopment decision support system
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
IROS'09 Proceedings of the 2009 IEEE/RSJ international conference on Intelligent robots and systems
Finite Elements in Analysis and Design
The modal stability procedure for dynamic and linear finite element analysis with variability
Finite Elements in Analysis and Design
Kriging with Ill-known variogram and data
SUM'10 Proceedings of the 4th international conference on Scalable uncertainty management
On the addition of discrete fuzzy numbers
TELE-INFO'06 Proceedings of the 5th WSEAS international conference on Telecommunications and informatics
Finite Elements in Analysis and Design
A fuzzy set approach of an analytical solution of non-steady two-dimensional drainage
Advances in Engineering Software
Modelling ellipsoidal uncertainty by multidimensional fuzzy sets
Expert Systems with Applications: An International Journal
Integrated fuzzy approach for system modeling and risk assessment
MDAI'06 Proceedings of the Third international conference on Modeling Decisions for Artificial Intelligence
Decision-making support for sustainable product creation
Advanced Engineering Informatics
Analytical and numerical solutions of fuzzy differential equations
Information Sciences: an International Journal
Fuzzy finite element analysis of imprecisely defined structures with fuzzy nodal force
Engineering Applications of Artificial Intelligence
Explicit frequency response functions of discretized structures with uncertain parameters
Computers and Structures
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In this paper, the transformation method is introduced as a powerful approach for both the simulation and the analysis of systems with uncertain model parameters. Based on the concept of α-cuts, the method represents a special implementation of fuzzy arithmetic that avoids the well-known effect of overestimation which usually arises when fuzzy arithmetic is reduced to interval computation. Systems with uncertain model parameters can thus be simulated without any artificial widening of the simulation results. As a by-product of the implementation scheme, the transformation method also provides a measure of influence to quantitatively analyze the uncertain system with respect to the effect of each uncertain model parameter on the overall uncertainty of the model output. By this, a special kind of sensitivity analysis can be defined on the basis of fuzzy arithmetic. Finally, to show the efficiency of the transformation method, the method is applied to the simulation and analysis of a model for the friction interface between the sliding surfaces of a bolted joint connection.