English

Fuzzy $\alpha$-cut and related structures

General Mathematics 2018-06-07 v1

Abstract

This paper deals with a new notion called fuzzy α\alpha-cut and its properties. A notion called localic frame is also introduced. Algebraic structures arising out of the family of fuzzy α\alpha-cuts have been investigated. It will be seen that this family forms a localic frame. Some significance and usefulness of fuzzy α\alpha-cuts are discussed.

Keywords

Cite

@article{arxiv.1806.02187,
  title  = {Fuzzy $\alpha$-cut and related structures},
  author = {Purbita Jana and Mihir K. Chakraborty},
  journal= {arXiv preprint arXiv:1806.02187},
  year   = {2018}
}
R2 v1 2026-06-23T02:21:02.882Z