By Maria Nowakowska (auth.), B. van Rootselaar, H. Koppelaar (eds.)
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Additional resources for Annals of Systems Research: Volume 7
This choice was mainly made because a simulation study of this theory by means of numerical simulation techniques has been performed [8J. The second reason for choosing this sociopsychological theory is that the theory has been presented in a quite unambiguous manner, namely in the form of fourteen clear theses. This avoids a lot of subjective interpretation of the theory which would otherwise have to be performed before being able to model anything at all. This paper is intended to introduce the linguistic modelling approach and to show its usefulness in modelling social scientific processes and theories about those phenomena.
One form of Ordinary mapping Figure 4. Ordinary mapping on ordinary sets 46 Ordinary mapping Figure 5. Ordinary mapping on fuzzy sets this extension could be to define a kind of 'ordinary mapping on fuzzy sets', where the mapping itself remains classical. Let F be an ordinary mapping from set X to set Y, written as F(x) = y, x E X and y E Y. -LA (x) be the membership function of a fuzzy set A in X. -L A (x) (y) Clearly this is not a completely fuzzy mapping definition. Another form of the extension to a fuzzy mapping is to define a 'fuzzy mapping on Figure 6.
The history of science is characterized by an ever-increasing use of formal mathematical tools. This is surely true of the natural sciences but it might also be stated of the social sciences. No one will deny that this development was useful when looking for example at the massive results in natural sciences or the indispensability of statistics in the social sciences. It can however not be circumvented that the introduction of mathematical methods in fields like social sciences poses great problems.
Annals of Systems Research: Volume 7 by Maria Nowakowska (auth.), B. van Rootselaar, H. Koppelaar (eds.)