期刊论文

Mo, Hong

英文

Information Sciences

0020-0255

2014

272

96-110

10.1016/j.ins.2014.02.092

The authors are very thankful to the anonymous reviewers for their helpful comments and suggestions, to Long Chen from University of Macau and Chengdong Li from Shandong Jianzhu University for their suggestions to improve the paper. This project is supported by Nature Science Foundation of China (Nos. 61074903, 61233008, 61074018), open Project of State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Science (No. 20110101), Youth Talent Support Plan of Changsha University of Science and Technology.

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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...