Vertex method for computing functions of fuzzy variables
Fuzzy Sets and Systems
The mean value of a fuzzy number
Fuzzy Sets and Systems - Fuzzy Numbers
Single value simulation of fuzzy variables
Fuzzy Sets and Systems
Defuzzification of fuzzy intervals
Fuzzy Sets and Systems
An adaptive approach to defuzzification based on level sets
Fuzzy Sets and Systems
A note to the T-sum of L-R fuzzy numbers
Fuzzy Sets and Systems
Ranking and defuzzification methods based on area compensation
Fuzzy Sets and Systems
Shape preserving additions of fuzzy intervals
Fuzzy Sets and Systems
Weak arithmetics of fuzzy numbers
Fuzzy Sets and Systems - Special issue: fuzzy arithmetic
A parametric representation of fuzzy numbers and their arithmetic operators
Fuzzy Sets and Systems - Special issue: fuzzy arithmetic
Analytical expressions for the addition of fuzzy intervals
Fuzzy Sets and Systems - Special issue: fuzzy arithmetic
Similarity preserving t-norm-based additions of fuzzy numbers
Fuzzy Sets and Systems - Special issue: fuzzy arithmetic
Triangular-norm-based addition of fuzzy intervals
Fuzzy Sets and Systems - Special issue: fuzzy arithmetic
A note to the addition of fuzzy numbers based on a continuous Archimedean T-norm
Fuzzy Sets and Systems - Special issue: fuzzy arithmetic
On a canonical representation of fuzzy numbers
Fuzzy Sets and Systems
Defuzzification: criteria and classification
Fuzzy Sets and Systems
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
Approximated fuzzy LR computation
Information Sciences: an International Journal
A Study on the Evolutionary Adaptive Defuzzification Methods in Fuzzy Modeling
International Journal of Hybrid Intelligent Systems
On the nearest parametric approximation of a fuzzy number
Fuzzy Sets and Systems
Centroid defuzzification and the maximizing set and minimizing set ranking based on alpha level sets
Computers and Industrial Engineering
Defuzzification using Steiner points
Fuzzy Sets and Systems
Mathematical and Computer Modelling: An International Journal
Engineering Applications of Artificial Intelligence
A type-2 linguistic set theory and its application to multi-criteria decision making
Computers and Industrial Engineering
Hi-index | 0.21 |
Since the introduction of the extension principle by Zadeh, the arithmetic of fuzzy numbers has gained importance both from the theoretical and the practical points of view. For the former, many works were accomplished on the topological level as well as on the parametrization level in order to improve the foundation of the theory and to simplify the performance of different combination operations. For the latter, in many practical applications, the need for a permanent switch from a fuzzy representation to a numerical representation is patent. This transformation is usually carried out by the defuzzification process. This paper addresses some theoretical results about some invariance properties concerning the relationships between the defuzzification outcomes and the arithmetic of fuzzy numbers. One of the benefits of such analysis is the fact that when the matter is the determination of the defuzzified value pertaining to the result of some manipulation of fuzzy quantities, the explicit determination of the resulting fuzzy set (or distribution) can be obviated, while the process may be restricted to a standard computation over single values corresponding to defuzzified initial inputs.