Nullnorms on bounded lattices constructed by means of closure and interior operators
Fuzzy Sets and Systems(2022)
摘要
We propose a new method for constructing nullnorms on bounded lattices based on the simultaneous use of a closure operator and an interior operator. This method requires as input a given underlying t-conorm on a join sub-semilattice (depending on the closure operator), a given underlying t-norm on a meet sub-semilattice (depending on the interior operator) and an auxiliary mapping. It is shown that a nullnorm constructed by Karaçal et al. in 2015 and a nullnorm constructed by Ertuğrul in 2018 can be retrieved as special cases. We also explain how to obtain the dual results.
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关键词
Nullnorm,Closure operator,Interior operator,T-norm,T-conorm,Bounded lattice
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