Type-2 soft sets

On type-2 soft topologies

“…Type-2 soft sets: Following [4], the definition and operations of Type-2 soft sets are given first and then we have introduced type-2 soft mappings and study some of its properties.…”

“…Recently in 2015, Rajashi Chatterjee et al [4] proposed a parameterized structure for type-2 fuzzy sets and named it type-2 soft sets. As a continuation and observing a huge potential of soft set theory, it is natural to investigate the behaviour of the topological structures in type-2 soft set settings.…”

A New Type-2 Soft Set: Type-2 Soft Graphs and Their Applications

“…In order to deal with associations between parameters, Chatterjeea et al [26] propose the concept of type-2 soft set which is a generalization of Molodtsov's soft set. It involves parameterization over an already parameterized set and hence has more freedom and efficiency compared to usual soft sets (termed as type-1 soft sets) in handling impreciseness.…”

“…In fact, type-2 soft sets are a new approach to managing uncertainty. Interestingly, Chatterjeea et al [26] investigate some basic operations on type-2 soft sets and use the model of type-2 soft sets in decision making problems. Recently, distance, entropy, and similarity measures of type-2 soft sets are introduced by Chatterjeea et al [27].…”

“…Definition 9 (see [26]). Let ( , ) be a soft universe and let ( ) be the collection of all T1SS over ( , ).…”