a novel similarity measure between atanassov’s intuitionistic fuzzy sets based on transformation techniques with applications to pattern recognition论文.pdf

Information Sciences 291 (2015) 96–114 Contents lists available at ScienceDirect Information Sciences journal homepage: www.else /locate/ins A novel similarity measure between Atanassov’s intuitionistic fuzzy sets based on transformation techniques with applications to pattern recognition Shyi-Ming Chen ⇑, Chia-Hao Chang Department of Computer Science and Information Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan a r t i c l e i n f o a b s t r a c t Article history: In this paper, we propose a new similarity measure between Atanassov’s intuitionistic Received 10 February 2014 fuzzy sets (AIFSs) based on transformation techniques and apply the proposed similarity Received in revised form 8 June 2014 measure between AIFSs to deal with pattern recognition problems. First, we present a Accepted 27 July 2014 new similarity measure between Atanassov’s intuitionistic fuzzy values (AIFVs) and prove Available online 27 August 2014 some properties of the proposed similarity measure between AIFVs. Then, based on the proposed similarity measure between AIFVs, we propose a new similarity measure Keywords: between AIFSs and prove some properties of the proposed similarity measure between Fuzzy number AIFSs. Then, we use some examples to illustrate that the proposed similarity measure Atanassov’s in