Muhammad Shabir - Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
Saba Ayub - Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
Shahida Bashir - Department of Statistics, University of Gujrat, Gujrat, Pakistan

In this paper, the conception of prime (semiprime) Lfuzzy soft bi-hyperideals, strongly prime L-fuzzy soft bi-hyperideals, irreducible (strongly irreducible) L-fuzzy soft bi-hyperideals of a semihypergroup S is introduced, where L is a complete bounded distributive lattice. Using the properties of these L-fuzzy soft bihyperideals some characterizations of regular and intra regular semihypergroups are given.

Prime (Semiprime) L-fuzzy soft bi-hyperideal, Strongly prime L-fuzzy soft bi-hyperideal, Irreducible (Strongly irreducible) L-fuzzy soft bi-hyperideal