Principles of inclusion and exclusion for fuzzy sets

Principles of inclusion and exclusion for fuzzy sets

Many previous papers have presented generalizations of the principle of inclusion and exclusion to fuzzy sets or IF-sets (Atanassov's intuitionistic fuzzy sets) with Gödel or product operations. We clarify for which fuzzy intersections and unions, based on continuous triangular norms and conorm...

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Veröffentlicht in:Fuzzy sets and systems 2013-12, Vol.232, p.98-109
Hauptverfasser: Kuková, Mária, Navara, Mirko
Format: Artikel
Sprache:eng
Schlagworte:
Frank triangular norm
Fuzzy
Fuzzy logic
Fuzzy set
Fuzzy set theory
Inclusions
Intersections
Norms
Pauli exclusion principle
Principle of inclusion and exclusion
Probability
State
Unions
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Zusammenfassung:Many previous papers have presented generalizations of the principle of inclusion and exclusion to fuzzy sets or IF-sets (Atanassov's intuitionistic fuzzy sets) with Gödel or product operations. We clarify for which fuzzy intersections and unions, based on continuous triangular norms and conorms, the principle of inclusion and exclusion holds.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2013.02.014