About: In this paper, we introduce two rather effective methods for constructing new families of nullnorms with a zero element on the basis of the closure operators and interior operators on a bounded lattice under some additional conditions. Our constructions can be seen as a generalization of the ones in [28]. As a by-product, two types of idempotent nullnorms on bounded lattices are obtained. Several interesting examples are included to get a better understanding of the structure of new families of nullnorms.   Goto Sponge  NotDistinct  Permalink

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  • In this paper, we introduce two rather effective methods for constructing new families of nullnorms with a zero element on the basis of the closure operators and interior operators on a bounded lattice under some additional conditions. Our constructions can be seen as a generalization of the ones in [28]. As a by-product, two types of idempotent nullnorms on bounded lattices are obtained. Several interesting examples are included to get a better understanding of the structure of new families of nullnorms.
subject
  • Product
  • Recycling
  • Closure operators
  • Theoretical computer science
  • Lattice theory
  • Diophantine equations
  • Abstract algebra
  • Binary operations
  • Analytic number theory
  • Algebraic structures
  • Mathematical relations
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