模式识别与人工智能
Thursday, Apr. 3, 2025 Home      About Journal      Editorial Board      Instructions      Ethics Statement      Contact Us                   中文
  2018, Vol. 31 Issue (6): 525-536    DOI: 10.16451/j.cnki.issn1003-6059.201806005
Papers and Reports Current Issue| Next Issue| Archive| Adv Search |
Reverse Triple I Method of Intuitionistic Fuzzy Reasoning Based on Residual Implicator
PENG Jiayin1
1.School of Mathematics and Information Science, Neijiang Normal University, Neijiang 641100

Download: PDF (585 KB)   HTML (1 KB) 
Export: BibTeX | EndNote (RIS)      
Abstract  The reverse triple I principle, reverse α-triple I principle and reverse triple I restriction principle of intuitionistic fuzzy reasoning for intuitionistic fuzzy modus ponens(IFMP) and intuitionistic fuzzy modus tollens(IFMT) problems are proposed. Aiming at the residual intuitionistic fuzzy implicator, the formulas and decomposition forms of solutions of intuitionistic fuzzy reasoning reverse triple I methods, reverse α-triple I methods and reverse triple I restriction methods for IFMP and IFMT problems are given. It is pointed out that these methods are all generalized in the case of the corresponding fuzzy sets. Moreover, the reductive properties of intuitionistic fuzzy reasoning reverse triple I methods for IFMP and IFMT problems are discussed.
Received: 05 January 2018     
ZTFLH: TP 18  
  O 159  
Fund:Supported by National Natural Science Foundation of China(No.11071178), Comprehensive Reform Project of Mathematics and Applied Mathematics of Ministry of Education of China(No.ZG0464), Key Discipline for Applied Mathematics in Neijiang Normal University
About author:: (PENG Jiayin, Ph.D., professor. His research interests include fuzzy mathematics, artificial intelligence and quantum communication)
Service
E-mail this article
Add to my bookshelf
Add to citation manager
E-mail Alert
RSS
Articles by authors
PENG Jiayin
Cite this article:   
PENG Jiayin. Reverse Triple I Method of Intuitionistic Fuzzy Reasoning Based on Residual Implicator[J]. , 2018, 31(6): 525-536.
URL:  
http://manu46.magtech.com.cn/Jweb_prai/EN/10.16451/j.cnki.issn1003-6059.201806005      OR     http://manu46.magtech.com.cn/Jweb_prai/EN/Y2018/V31/I6/525
Copyright © 2010 Editorial Office of Pattern Recognition and Artificial Intelligence
Address: No.350 Shushanhu Road, Hefei, Anhui Province, P.R. China Tel: 0551-65591176 Fax:0551-65591176 Email: bjb@iim.ac.cn
Supported by Beijing Magtech  Email:support@magtech.com.cn