Pattern recognition (psychology)

Pure mathematics

Cosine similarity

Mathematics

Image (mathematics)

Fuzzy measure theory

Similarity (geometry)

Data mining

Artificial intelligence

Similarity measure

Measure (data warehouse)

Computer science

Field (mathematics)

Fuzzy set

Membership function

Fuzzy logic

Iranian journal of fuzzy systems

In this work, we shall present some novel process to measure the similarity between picture fuzzy sets. Firstly, we adopt the concept of intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets and picture fuzzy sets. Secondly, we develop some similarity measures between picture fuzzy sets, such as, cosine similarity measure, weighted cosine similarity measure, set-theoretic similarity measure, weighted set-theoretic cosine similarity measure, grey similarity measure and weighted grey similarity measure. Then, we apply these similarity measures between picture fuzzy sets to building material recognition and minerals field recognition. Finally, two illustrative examples are given to demonstrate the efficiency of the similarity measures for building material recognition and minerals field recognition.

SOME SIMILARITY MEASURES FOR PICTURE FUZZY SETS AND THEIR APPLICATIONS