an:04170903
Zbl 0712.03045
Drossos, C. A.
Foundations of fuzzy sets: A nonstandard approach
EN
Fuzzy Sets Syst. 37, No. 3, 287-307 (1990).
00175064
1990
j
03E72 03H05
fuzziness; finiteness; Boolean analysis; infinitesimal analysis; vagueness; nonstandard analysis
The paper deals with historical and philosophical aspects of vagueness. From new approaches to set-like concepts [e.g., \textit{E. Nelson}, Bull. Am. Math. Soc. 83, 1165-1198 (1977; Zbl 0373.02040); \textit{P. Vop??nka}, Mathematics in the alternative set theory (1979; Zbl 0499.03042)], the author prefers nonstandard analysis and its modifications. From this point of view he creates a mathematical theory of fuzzy sets as powers theory of Heyting algebras (what will be described in future publications).
J.Drewniak
Zbl 0373.02040; Zbl 0499.03042