Coverage and invariability in fuzzy systems

This paper presents a new complex system systemic. Here, we are working in a fuzzy environment, so we have to adapt all the previous concepts and results that were obtained in a non-fuzzy environment, for this fuzzy case. The direct and indirect influences between variables will provide the basis for obtaining fuzzy and/or non-fuzzy relationships, so that the concepts of coverage and invariability between sets of variables will appear naturally. These two concepts and their interconnections will be analyzed from the viewpoint of algebraic properties of inclusion, union and intersection (fuzzy and non-fuzzy), and also for the loop concept, which, as we shall see, will be of special importance.

Structures, Systems and Organizational Communication Processes in Franchises in times of crisis: the Spanish case

Current economic crisis together with the Internet revolution has had direct impacts on the franchise sector of Spain: in particular on its unique communication network. The aim of this research is to analyse how Spanish franchise companies have adapted to these changes through its corporate communications management. We want to determine whether the management of communications is ideal to the growth and consolidation of companies in the market. Corporate communications plans and organizational structures were analyzed to verify whether or not information technology (i.e. the use of the Internet) is maximized: the communications aspect being a critical area of company growth. We found that most franchise companies surveyed had adapted well to the changes in information technology, despite economic challenges. The Internet as a communications tool has been limited to its utility as a “bulletin board” for information. The marketing advantage of Internet communication, or its use as an avenue for customer exchange and exchange of goods and services has yet to be maximized. Future research may look into the details of how companies are able to maximize the communications-marketing advantage that Online/Internet can contribute to the franchise sector.