# Rough Continuity Represented by Intuitionistic Fuzzy Sets

### Zoltán Ernő Csajbók

#### 2020

#### Abstract

Studying rough calculus was initiated by Z. Pawlak in his many papers. He originated the concept of rough real functions. Like the notion of continuity in classical analysis, the rough continuity is also a central notion in rough calculus. Relying on the Pawlak’s approximation spaces on the real closed bounded intervals, first, two intuitionistic fuzzy sets are established starting from rough functions. Then, based on them, some necessary and sufficient conditions for the rough continuity in terms of intuitionistic fuzzy set theory will be presented.

Download#### Paper Citation

#### in Harvard Style

Csajbók Z. (2020). **Rough Continuity Represented by Intuitionistic Fuzzy Sets**. In *Proceedings of the 12th International Joint Conference on Computational Intelligence (IJCCI 2020) - Volume 1: FCTA*; ISBN 978-989-758-475-6, SciTePress, pages 264-274. DOI: 10.5220/0010164302640274

#### in Bibtex Style

@conference{fcta20,

author={Zoltán Ernő Csajbók},

title={Rough Continuity Represented by Intuitionistic Fuzzy Sets},

booktitle={Proceedings of the 12th International Joint Conference on Computational Intelligence (IJCCI 2020) - Volume 1: FCTA},

year={2020},

pages={264-274},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0010164302640274},

isbn={978-989-758-475-6},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 12th International Joint Conference on Computational Intelligence (IJCCI 2020) - Volume 1: FCTA

TI - Rough Continuity Represented by Intuitionistic Fuzzy Sets

SN - 978-989-758-475-6

AU - Csajbók Z.

PY - 2020

SP - 264

EP - 274

DO - 10.5220/0010164302640274

PB - SciTePress