Abstract
Molodtsov initiated the concept of fuzzy soft set theory in 1999. Maji et al. introduced the notion of fuzzy soft sets. By introducing the concept of intuitionistic fuzzy sets into the theory of soft sets, Maji et al. proposed the concept of intuitionistic fuzzy soft set theory. The notion of the interval-valued intuitionistic fuzzy sets was first introduced by Atanassov and Gargov. It is characterised by an interval-valued membership degree and an interval-valued non-membership degree. In 2010, Y. Jiang et al. introduced the concept of interval-valued intuitionistic fuzzy soft sets. In this chapter, the concept of generalised interval-valued intuitionistic fuzzy soft sets is introduced. The basic properties of these sets are presented. Also, an application of generalised interval-valued intuitionistic fuzzy soft sets in decision-making with respect to interval of degree of preference is investigated.
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