Footprint of uncertainty for type-2 fuzzy sets

Hong Mo,F.-Y Wang,Min Zhou,Runmei Li,Zhiquan Xiao

doi:10.1016/j.ins.2014.02.092

Footprint of uncertainty for type-2 fuzzy sets

Hong Mo, F.-Y Wang + Show 3 more

https://doi.org/10.1016/j.ins.2014.02.092

Copy DOI

Journal: Information sciences	Publication Date: Feb 20, 2014
Citations: 89

Affiliation: Changsha University of Science and Technology, National University of Defense Technology, Shandong Institute of Automation, Beijing Jiaotong University, Wuhan Textile University

#Footprint Of Uncertainty #Interval Type-2 Fuzzy Sets + Show 8 more

Abstract
Full-Text PDF
Similar Papers

Abstract

In the paper, a new and comprehensible definition is proposed for type-2 fuzzy sets (T2 FSs), and the primary and secondary memberships function are defined respectively by using multi valued mapping. A new definition and formula for the footprint of uncertainty (FOU) is presented, and based on the new definitions, the relation between FOU and the original definition of T2 FS is discussed. Finally, the partition method of FOU is provided to represent the primary membership grade, the FOU and the interval type-2 fuzzy sets (IT2 FS) when the upper and lower membership functions (UMF, LMF) of FOU are given.

Full Text