FUZZY SEMI-SEPARATION AXIOMS AND FUZZY SEMI-CONNECTEDNESS IN FUZYY BICLOSURE SPACES
By
Alka Kanaujia, Parijat Sinha and Manjari Srivastava
Department of Mathematics, V.S.S.D College, Kanpur, Uttar Pradesh, India-208002
Email: aadee.kanaujia@gmail.com, parijatvssd@gmail.com, manjarivssd@gmail.com
(Received: June 22, 2022; In format: September 28, 2022; Revised: February 02, 2023; Accepted: February 09, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53107
Abstract
The purpose of this paper is to introduce the notion of fuzzy semi-separation axioms and fuzzy semi-connectedness in fuzzy biclosure spaces. Further we investigate their characterizations and find relations with other already existing definitions. We generalize the results of semi-connectedness in fuzzy setting. Here we follow the definition of closure operator given by Birkhoff [5].
2020 Mathematical Sciences Classification: 54A40, 03E72
Keywords and Phrases: fuzzy semi-connectedness, fuzzy q-separated sets, fuzzy semi-separated sets, fuzzy semi-separation axioms.