Abstract
In this paper, we describe a new trend analysis and forecasting method (Deflexor), which is intended to help inform decisions in almost any field of human social activity, including, for example, business, art and design. As a result of the combination of conceptual analysis, fuzzy mathematics and some new reinforcing learning methods, we propose an automatic procedure based on Big Data that provides an assessment of the evolution of design trends. The resulting tool can be used to study general trends in any field—depending on the data sets used—while allowing the evaluation of the future acceptance of a particular design product, becoming in this way, a new instrument for Open Innovation. The mathematical characterization of what is a semantic projection, together with the use of the theory of Lipschitz functions in metric spaces, provides a broad-spectrum predictive tool. Although the results depend on the data sets used, the periods of updating and the sources of general information, our model allows for the creation of specific tools for trend analysis in particular fields that are adaptable to different environments.
Highlights
Trend analysis and forecasting is an indispensable task in the preparation of projects in almost any field of business activity
Based on a mathematical structure built on metric spaces of fuzzy sets, and in our practical knowledge—the result of our experience in the field of design and education—we present in this document an attempt to obtain an easy-to-use tool supported by two legs, trying to mix them in a common framework that could be handled by the analyst interested in improving her/his results through a reliable tool
As we demonstrate in this paper, this provides a second-level support platform by aggregating some Internet tools that have already proved successful; for example, Google products such as Scholar, Trends and Analytics, Facebook Analytics as well as some indicators that we have created based on some instruments for internet analysis that we have experienced in recent years [6,7,8]
Summary
Trend analysis and forecasting is an indispensable task in the preparation of projects in almost any field of business activity. It is essential in the planning of new commercial products and in industrial or artistic design. These issues have often been resolved in specific contexts through the expertise of professionals, sometimes using some technical tools that are well established
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