A distance measure between intuitionistic fuzzy sets and its application in medical diagnosis

Publication date: Available online 19 June 2018Source: Artificial Intelligence in MedicineAuthor(s): Minxia Luo, Ruirui ZhaoAbstractThe intuitionistic fuzzy set, as a generation of fuzzy set, can express and process uncertainty much better. Distance measures between intuitionistic fuzzy sets are used to indicate the difference degree between the information carried by intuitionistic fuzzy sets. Although some distance measures have been proposed in previous studies, they can not satisfy the axioms of distance measure, or exist counter-intuitive cases. In this paper, we give a new distance measure between intuitionistic fuzzy sets, which is based on a matrix norm and a strictly increasing (or decreasing) binary function. The new distance measure not only satisfies the axiomatic definition of distance measure, but also overcomes the counter-intuitive cases. It is proved that the new distance measure is reasonable by numerical examples. Moreover, we give the algorithms for pattern recognition and use it to solve medical diagnosis problems.

Source: Artificial Intelligence in Medicine - July 10, 2018 Category: Bioinformatics Source Type: research