Table 7.

Applications of interval techniques in information processing

Categories	Extensions	Applications in conjunction with interval techniques
Interval numbers
Fuzzy sets	FS	IVFS
	IFS	IVIFS, IV intuitionistic TrFS (IVITrFS), IVIHFS, Complex IVIFS (CIFIFS)
	HFS	IVHFS, IVPHFS, Probabilistic dual HFS
	PFS	IVPFS
	TFS	IVTFS, Three trapezoidal fuzzy number bounded type-2 FS
	TrFS	IVTrFS, Generalized IVTrFS
	GFS	IV Gaussian type-2 FS
	SFS	IVSFS
	FFS	IVFFS
Linguistic sets	LTS	IVLTS
	PLTS	IVPLTS
	ILTS	IVILTS, IV intuitionistic uncertain LTS
	HFLTS	IVHFLTS, IVDHHFLTS, IV hesitant uncertain LTS
	PFLTS	IVPFLTS, IV Pythagorean uncertain LTS
Others	NS	Interval NS
	SS	IVSS
	IMS	IVIMS
	RS	IVRS
	ER	Interval ER