On Fuzzy Complex Derivatives

Complex fuzzy linear systems

Complex derivatives

This is just an illustration of how information technology can help in quantifying subtle collective behaviours. In the context of economics, such experiments could be enormously valuable. For example, it has been shown11 that the volume of transactions of a company at a certain time is correlated to the volume of searches related to that company at the previous time-step — the reason is unclea...

complex fuzzy linear systems

On Characterizations of Directional Derivatives and Subdifferentials of Fuzzy Functions

In this paper, based on a partial order, we study the characterizations of directional derivatives and the subdifferential of fuzzy function. At the same time, we also discuss the relation between the directional derivative and the subdifferential.

Operations on complex multi-fuzzy sets

In this paper, we introduce the concept of complex multi-fuzzy sets (CMkFSs) as a generalization of the concept of multi-fuzzy sets by adding the phase term to the definition of multi-fuzzy sets. In other words, we extend the range of multi-membership function from the interval [0,1] to unit circle in the complex plane. The novelty of CMkFSs lies in the ability of complex multimembership functi...