Abstract:

Intuitionistic fuzzy information granularity is an important tool to effectively measure the uncertainty of intuitionistic fuzzy information systems. Intersection, union, subtraction and complement operators of granular structures in intuitionistic fuzzy information systems are presented in this paper. Three new partial order relations in intuitionistic fuzzy information systems are proposed, and the relationships among them are established. An intuitionistic fuzzy information granularity and the axiomatization of it are defined, and their properties are also investigated.

Key words: granular computing; intuitionistic fuzzy information granularity; partial order relation; axiomatic