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Publications

Filters in Fuzzy Class Theory

Typ:
Jornal article
Authors:
Name of journal:
Fuzzy Sets and Systems
Year:
2008
Number:
14 (2008)
Pages:
1773-1787
ISSN:
0165-0114
Keywords:
filter, prime filter, fuzzy class theory
Anotation:
A concept of filter is introduced in fuzzy class theory. Graded properties of filters, prime filters, and related constructions are investigated. In particular, the properties of filters relativized with respect to the three basic t-norms (Gödel, product, and Łukasiewicz) are studied. A naturally arising example of a graded filter is constructed and it is shown that the models of filters include well-known families of set functions.
 
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