Title :
Rough approximations based on random intuitionistic fuzzy sets
Author :
Zhou, Lei ; Wu, Wei-Zhi
Author_Institution :
Inst. for Inf. & Syst. Sci., Xi´´an Jiaotong Univ., Shaan´´xi
Abstract :
In this paper, the concept of random intuitionistic fuzzy sets is first introduced. Rough approximations of intuitionistic fuzzy sets in a random intuitionistic fuzzy approximation space is then defined and their properties are examined. Meanwhile, the notion of intuitionistic fuzzy probability measures is proposed. Several kinds of intuitionistic fuzzy probability measures induced by random intuitionistic fuzzy upper and lower approximation operators are also presented.
Keywords :
approximation theory; fuzzy set theory; mathematical operators; random processes; rough set theory; intuitionistic fuzzy probability measures; random intuitionistic fuzzy approximation operators; random intuitionistic fuzzy sets; rough approximations; Fuzzy set theory; Fuzzy sets; Mathematics; Oceans; Physics; Rough sets; Sea measurements; Set theory; Uncertainty; Intuitionistic fuzzy probability measures; Intuitionistic fuzzy sets; Random intuitionistic fuzzy sets; Rough approximations;
Conference_Titel :
Granular Computing, 2008. GrC 2008. IEEE International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-4244-2512-9
Electronic_ISBN :
978-1-4244-2513-6
DOI :
10.1109/GRC.2008.4664637
