Encoding complex valued fields using intensity

An Improved Genetic Algorithm Based Complex-valued Encoding

Genetic algorithm is a useful tool to tackle optimization problems. In this paper the complex numbers were introduced into the traditional genetic algorithm, in which binary or real value data representation was used in the past, and a complex-value encoding genetic algorithm was proposed. Comparing with the conventional genetic algorithm which based on real-valued encoding or binary encoding, ...

A Novel Complex-Valued Encoding Grey Wolf Optimization Algorithm

Grey wolf optimization (GWO) is one of the recently proposed heuristic algorithms imitating the leadership hierarchy and hunting mechanism of grey wolves in nature. The aim of these algorithms is to perform global optimization. This paper presents a modified GWO algorithm based on complex-valued encoding; namely the complex-valued encoding grey wolf optimization (CGWO). We use CGWO to test 16 u...

Complex-Valued Data Envelopment Analysis

Data Envelopment Analysis (DEA) is a nonparametric approach for measuring the relative efficiency of a decision making units consists of multiple inputs and outputs. In all standard DEA models semi positive real valued measures are assumed, while in some real cases inputs and outputs may take complex valued. The question is related to measuring efficiency in such cases. As far as we are aware, ...

FUZZY HYPERVECTOR SPACES OVER VALUED FIELDS

In this note we first redefine the notion of a fuzzy hypervectorspace (see [1]) and then introduce some further concepts of fuzzy hypervectorspaces, such as fuzzy convex and balance fuzzy subsets in fuzzy hypervectorspaces over valued fields. Finally, we briefly discuss on the convex (balanced)hull of a given fuzzy set of a hypervector space.

Amalgamating valued fields