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A General Version of the Triple Π Operator
Author(s) -
Emilion Richard,
Regis Sébastien,
Doncescu Andrei
Publication year - 2013
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.21605
Subject(s) - operator (biology) , computer science , measure (data warehouse) , extension (predicate logic) , set (abstract data type) , sensor fusion , theoretical computer science , algebra over a field , mathematics , artificial intelligence , data mining , programming language , pure mathematics , biochemistry , chemistry , repressor , transcription factor , gene
Recent developments of sensors and computers have raised the problem of handling huge amounts of complex data that users try to synthesize for decision making. Aggregation operators, such as those appearing in fuzzy sets theory, are useful tools for this synthesis but in their present formulation, these operators only deal with a finite set of arguments. In this paper, we introduce G 3 Π , an extension of both Yager–Rybalov Triple Π and Mean Triple Π operators to general measure spaces that can deal with temporal or spatiotemporal intensive data streams. Known properties and inequalities are extended in this more general setting. The notion of moving G 3 Π is also introduced and it can be applied to a solar radiation data stream. This may lead to further works on data fusion and on similar extensions of some other operators.