Applied Fuzzy Arithmetic: An Introduction with Engineering Applications

527 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

On new solutions of fuzzy differential equations (2008, background): “Their main directions of development have been diverse and its applications to the very varied real problems, for instance, in the golden mean [8], particle systems [11], quantum optics and gravity [12], synnchronize hyperchaotic sytems [29], chaotic system [13,26,27], medicine [1,3], engineering pr”
Polynomial chaos expansion with random and fuzzy variables (2016, methodology): “Fuzzy variables are used when the information on the uncertain parameters is given in terms of intervals that reflect the possible values of these parameters [5].”
Fuzzy uncertainty propagation in composites using Gram–Schmidt polynomial chaos expansion (2016, methodology): “In the first approach, a fuzzy variable is considered as an interval variable for each α-cut by employing classical interval arithmetic [44].”
A social network analysis trust-consensus based approach to group decision-making problems with interval-valued fuzzy reciprocal preference relations (2014, unknown): “(3) Given two interval numbers ã1 = [a − 1 , a + 1 ] and ã2 = [a − 2 , a + 2 ], the main interval arithmetic operations can be expressed in terms of the interval lower and upper bounds as follows [19]: 1) ã1 + ã2 = [a − 1 , a + 1 ] + [a − 2 , a + 2 ] = [a − 1 + a − 2 , a + 1 + a + 2 ].”