Title
Left and right distributivity equations for semi-t-operators and uninorms.
Abstract
Recently, the distributivity equation for different kind of operators has become a focus of research as the crucial tool in the numerous applications as utility and optimization theory, or integration theory. The main purpose of this paper is to study the distributivity equations between two special classes of aggregation operators namely, semi-t-operators and uninorms. Without the commutativity assumption of semi-t-operators it is necessary to consider the left and the right distributivity conditions separately. In both cases, the obtained solutions are significantly different.
Year
DOI
Venue
2017
10.1016/j.fss.2017.04.012
Fuzzy Sets and Systems
Keywords
Field
DocType
Aggregation operator,Distributivity equations,Idempotent operation,Semi-t-operator,Uninorm
Discrete mathematics,Commutative property,Algebra,Distributivity,Left and right,Operator (computer programming),Mathematics
Journal
Volume
Issue
ISSN
325
C
0165-0114
Citations 
PageRank 
References 
5
0.49
12
Authors
3
Name
Order
Citations
PageRank
Pawel Drygas117511.93
Qin Feng2100267.52
Ewa Rak3917.62