New kinds of fuzzy pairwise multifunctions

Article type: Research Article

Authors: Abd El-latif, A.A.^{a; b; *}

Affiliations: [a] Department of Mathematics, Faculty of Science and Arts at Belqarn, University of Bisha, Kingdom of Saudi Arabia | [b] High Institute of Computer King Marriott, Alexandria, Egypt

Correspondence: [*] Corresponding author. A.A. Abd El-latif. E-mails: [email protected] and [email protected].

Abstract: This paper is devoted to introduce and study new kinds of FP-multifunctions, namely FP-lower (upper) α-continuous, FP-lower (upper) almost α-continuous, and FP-lower (upper) weakly α-continuous multifunctions. Various properties of these multifunctions were investigated. We provided the relationships between these multifunctions and presented contrary examples. Finally, we gave the conditions which make these multifunctions equivalent.

Keywords: L-Fuzzy bitopological spaces, FP-lower (upper) α-continuous multifunctions, FP-lower (upper) almost α-continuous multifunctions, FP-lower (upper) weakly α-continuous multifunctions

DOI: 10.3233/JIFS-181791

Journal: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 953-964, 2019