Affiliations: [a] Department of Mathematics, Faculty of Science and Arts at Belqarn, Sabt Al-Alaya, Bisha University, Saudi Arabia | [b] High Institute of Computer King Marriott, Alexandria, Egypt
Correspondence:
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Corresponding author. A.A. Abd El-latif, Department of Mathematics, Faculty of Science and Arts at Belqarn, P.O. Box 60, Sabt Al-Alaya 61985, Bisha University, Saudi Arabia. E-mail: [email protected].
Abstract: The aim of this paper is to introduce and study new classes of FP-multifunctions, called FP-lower (upper) irresolute and semi-irresolute, FP-presemi-open and FP-weak semi-open multifunctions, where the domain of these functions is a classical bitopological space with their values as arbitrary L-fuzzy sets in L-fuzzy bitopological space in view of Šostak’s sense. Also, we prove several characterizing theorems for these functions from different angles and we establish various properties of these multifunctions along with their mutual relationships.
