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Generalizations of fuzzy quasi open sets and connectedness between fuzzy sets in fuzzy bitopological spaces

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1Government Arts College for Men, Krishnagiri-635 001, Tamilnadu, India.2Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) University, Vellore 632 014, Tamil Nadu, India.3Department of Mathematics, Indira Gandhi National Tribal University, Anuppur, Madhya Pradesh-484 887, India.4Department of Mathematics, Erode Arts and Science College, Erode – 638009, Tamilnadu, India.

* Corresponding Author: A. Vadivel. Email: avmaths@gmail.com

Annals of Communications in Mathematics 2020, 3 (3), 218-231. https://doi.org/10.62072/acm.2020.030305

Received: 24 August 2020 |

Accepted: 14 October 2020 |

Published: 31 October 2020

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ABSTRACT.

In this paper we introduce and study fuzzy quasi \( e \) (resp. \( e^{*}, \alpha, \beta, \delta \) and \( \delta p \))-open sets, fuzzy quasi \( e \) (resp. \( e^{*}, \alpha, \beta, \delta s \) and \( \delta p \))-closed sets, fuzzy quasi \( e \) (resp. \( e^{*}, \alpha, \beta, \delta s \) and \( \delta p \))-connectedness between fuzzy sets, fuzzy quasi \( e \) (resp. \( e^{*}, \alpha, \beta, \delta s \) and \( \delta p \))-separated sets in fuzzy bitopological spaces.

Keywords

fuzzy quasi e (resp. e∗; δs and δp -separated sets; δs and δp-connected between the fuzzy sets; δs and δp-connectedness between fuzzy sets

Cite This Article

G. Saravanakumar, A. Vadivel, S. Murugambigai, M. Kamaraj.

Generalizations of fuzzy quasi open sets and connectedness between fuzzy sets in fuzzy bitopological spaces.

Annals of Communications in Mathematics

2020,

3 (3):

218-231.

https://doi.org/10.62072/acm.2020.030305

Copyright © 2020 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).