Fuzzy sets, uncertainty, and information
Fuzzy sets, uncertainty, and information
Vertex method for computing functions of fuzzy variables
Fuzzy Sets and Systems
A parametric representation of fuzzy numbers and their arithmetic operators
Fuzzy Sets and Systems - Special issue: fuzzy arithmetic
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
On the compatibility between defuzzification and fuzzy arithmetic operations
Fuzzy Sets and Systems
C-fuzzy numbers and a dual of extension principle
Information Sciences: an International Journal
L-fuzzy numbers and their properties
Information Sciences: an International Journal
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This note addresses the problem of the multiplication (and division) of fuzzy numbers represented in LR (left and right) form. It is known that, usually, the multiplication of LR fuzzy numbers does not provide LR fuzzy number. However, for real time applications, for instance, the complexity of such operation often prevents the use of fuzzy arithmetic framework to these fields. This rises the question whether an approximated LR fuzzy number can be found in case of fuzzy multiplication (division) operation. This paper focuses on an approximated LR fuzzy number that agrees with the result supplied by the fuzzy multiplication (division) operation according to some rational criteria. These criteria involve properties of global specificity, high plausibility and typicality representation. Furthermore, the error induced by this approximation is evaluated and included as a constraint for the approximation issue.