Concept formation contrives one among vital issues in all fields of science. It can be stated that, to a significant degree, a scientific discovery is related to various aspects of creation of general categories out of a mass of raw empirical data analyzed from a suitable perspective. Thus, as it is seen now, the concept of any notion is constructed on the basis of a significant amount of previous experience. Despite a lot of research completed, there still exists a number of open questions about diverse features of the constructed concepts. In this article we develop a framework for concept formation making use of a logical platform of fuzzy sets combined with mechanisms of neurocom-putations. It will be indicated how for a given naming of the concept its description can be derived. Moreover, a particular attention will be devoted to mechanisms justifying a relevance of the concepts with respect to a collection of available empirical facts. This may play a primordial role in recognizing some limitations of a character of the concept (i.e., its generality or specificity) which cannot be exceeded simultaneously not losing consistency with the family of collected objects utilized within the process of concept formation.
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