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Modelling vagueness. (English) Zbl 0537.03037

Fuzzy information and decision processes, 101-109 (1982).
[For the entire collection see Zbl 0496.00019.]
In this paper the author endeavours to give a critical appreciation of various notions of vagueness in mathematics. He points out that the means of nonstandard formal finiteness (*finiteness) may be more adequate for catching of the notions ”large” and ”small” than the means of fuzzy set theory. I appreciate the author’s endeavour at giving an intuitive interpretation of results and approaches which are usually absent in ”serious” papers. The reading of the paper helps the open-minded reader to understand that any effort for the mathematisation of vague notions is no desecration of mathematics.
Reviewer: K.Čuda

MSC:

03E72 Theory of fuzzy sets, etc.
03H99 Nonstandard models
91B99 Mathematical economics
03E70 Nonclassical and second-order set theories
03H10 Other applications of nonstandard models (economics, physics, etc.)

Citations:

Zbl 0496.00019