DocumentCode
3024775
Title
Scalar cardinalities of infinite fuzzy sets
Author
Shukhat, Boris
Author_Institution
Inf. Builders Inc., New York, NY, USA
fYear
1999
fDate
36342
Firstpage
70
Lastpage
74
Abstract
This paper is devoted to the problem of the cardinality of infinite fuzzy sets, i.e. sets having an infinite support. The approach is an attempt to extend the classical cardinality of infinite crisp sets to the fuzzy case both with accumulation of the cardinalities of individual members of fuzzy sets and without it. The continuum hypothesis and fuzzy sets with different infinite supports are discussed for different definitions of infinite fuzzy sets´ cardinalities
Keywords
fuzzy set theory; cardinality accumulation; continuum hypothesis; infinite fuzzy sets; infinite support; scalar cardinality; Fuzzy sets; Set theory;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Information Processing Society, 1999. NAFIPS. 18th International Conference of the North American
Conference_Location
New York, NY
Print_ISBN
0-7803-5211-4
Type
conf
DOI
10.1109/NAFIPS.1999.781655
Filename
781655
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