Intuitionistic Fuzzy Similarity Measures and Their Role in Classification

Abstract

We present some similarity and distance measures between intuitionistic fuzzy sets (IFSs). Thus, we propose two semi-metric distance measures between IFSs. The measures are applied to classification of shapes and handwritten Arabic sentences described with intuitionistic fuzzy information. The experimental results permitted to do a comparative analysis between intuitionistic fuzzy similarity and distance measures, which can facilitate the selection of such measure in similar applications.

Keywords

• similarity measures
• distance measures
• intuitionistic fuzzy sets
• semi-metric distance measures
• handwritten arabic sentence classification
• shape classification
• type-1 fuzzy sets