Applications of L-fuzzy soft sets in quantales

In this paper, the notions of L-fuzzy soft quantales and L-fuzzy soft ideals over quantales are proposed. Some properties of L-fuzzy soft quantales (ideals) related to operations of L-fuzzy soft sets are investigated. In the case of fixed parameters, order properties of all L-fuzzy soft quantales (ideals) over a given quantale are discussed. Moreover, the concept of L-fuzzy soft quantale homomorphisms is introduced. It is proved that inverse images of L-fuzzy soft quantales (ideals) under L-fuzzy soft quantale homomorphisms are L-fuzzy soft quantales (ideals). It is also proved that under some certain conditions, images of L-fuzzy soft quantales (ideals) under L-fuzzy soft quantale homomorphisms are L-fuzzy soft quantales (ideals).