Table 1 Some extensions of Zadeh’s fuzzy set and applications.

¹¹

Intuitionistic fuzzy sets

Decision-making, pattern recognition, clustering problems

¹²

Vague set

Synergy development of regional industrial technology

^{13, 14}

Picture fuzzy set

Food enterprise quality credit evaluation; Industrial Fund Selection

¹⁵

Fermatean fuzzy set

Decision-making

¹⁶

Neutrosophic set

Multi-class image segmentation

¹⁷

Spherical fuzzy sets

multiattribute group decision-making