Ideal convergence and ideal Cauchy sequences in intuitionistic fuzzy metric spaces


Aykut Or, Gökay Karabacak




The present study introduces the concepts of ideal convergence (${I}$--convergence), ideal Cauchy (${I}$--Cauchy) sequences, $I^*$--convergence, and ${I^*}$--Cauchy sequences in intuitionistic fuzzy metric spaces. It defines ${I}$--limit and ${I}$--cluster points as a sequence in these spaces. Afterward, it examines some of their basic properties. Lastly, the paper discusses whether phenomena should be further investigated.