Using generalised Łukasiewicz’s t-norm to representand improve fuzzy rough approximations

Triangular norms are a generalisation of the classicaltwo-valued conjunction. They were originally introducedfor definition of the probabilistic (statistical) metricspaces as a generalisation of the classical triangleinequality for ordinary metric spaces. The nextinvestigations were related with axiomatic of thesenorms. In this paper, a new t-norm is proposed which isgeneralisation of the Łukaszewicz’s norm. Some selectedproperties of this generalised t-norm are first presented.Next , it is shown a possibility of generalisation of thenotions of lower and upper approximations used in fuzzyrough sets and also of obtaining better such approximations

Keywords:

Triangular Norms , Fuzzy t-Equivalence , Fuzzy Rough Sets , Approximations