GENERATING METHODS FOR PRINCIPAL TOPOLOGIES ON BOUNDED LATTICES


KARAÇAL F., ERTUĞRUL Ü., KESİCİOĞLU M. N.

KYBERNETIKA, vol.57, no.4, pp.714-736, 2021 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 57 Issue: 4
  • Publication Date: 2021
  • Doi Number: 10.14736/kyb-2021-4-0714
  • Journal Name: KYBERNETIKA
  • Journal Indexes: Science Citation Index Expanded, Scopus, Linguistic Bibliography, zbMATH
  • Page Numbers: pp.714-736
  • Keywords: principal topology, bounded lattice, generating method, uninorm, triangular norm, UNINORM

Abstract

In this paper, some generating methods for principal topology are introduced by means of some logical operators such as uninorms and triangular norms and their properties are investigated. Defining a pre-order obtained from the closure operator, the properties of the pre-order are studied.