Counting belongs to the most basic and frequent mental activities of humans. The subject of this paper is the non-trivial case of counting, namely that with imprecisely specified objects of counting. We will show that both scalar and fuzzy cardinalities of fuzzy sets as well as their extensions to Atanassov’s intuitionistic fuzzy sets are not sophisticated, artificial constructions. On the contrary, they model and reflect human counting procedures under imprecision possibly combined with incompleteness of information.
Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.
Oct 15, 2021
Aug 25, 2021