English

Extended Equivalence of Fuzzy Sets

General Mathematics 2024-06-26 v1

Abstract

Preferential equality is an equivalence relation on fuzzy subsets of finite sets and is a generalization of classical equality of subsets. In this paper we introduce a tightened version of the preferential equality on fuzzy subsets and derive some important combinatorial formulae for the number of such tight fuzzy subsets of an n-element set where n is a natural number. We also offer some asymptotic results

Keywords

Cite

@article{arxiv.2406.16951,
  title  = {Extended Equivalence of Fuzzy Sets},
  author = {Venkat Murali and Sithembele Nkonkobe},
  journal= {arXiv preprint arXiv:2406.16951},
  year   = {2024}
}