@inproceedings{847937df11334f6aa504319ce907fabe,

title = "A new pseudo-metric for fuzzy sets",

abstract = "A new distance function for fuzzy sets is introduced. It is based on the descriptive complexity, that is, the number of bits (on average) that are needed to describe an element in the symmetric difference of the two sets. The value of the distance gives the amount of additional information needed to describe either one of the two sets when the other is known. We prove that the distance function is a pseudo-metric, namely, it is non-negative, symmetric, it equals zero if the sets are identical and it satisfies the triangle inequality.",

keywords = "Fuzzy sets, descriptive complexity, distance, entropy, triangle-inequality",

author = "Laszlo Kovacs and Joel Ratsaby",

year = "2014",

month = jan,

day = "1",

doi = "10.1007/978-3-319-07173-2_19",

language = "English",

isbn = "9783319071725",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

number = "PART 1",

pages = "205--216",

booktitle = "Artificial Intelligence and Soft Computing - 13th International Conference, ICAISC 2014, Proceedings",

address = "Germany",

edition = "PART 1",

note = "13th International Conference on Artificial Intelligence and Soft Computing, ICAISC 2014 ; Conference date: 01-06-2014 Through 05-06-2014",

}