Local Divergences for Atanassov Intuitionistic Fuzzy Sets
| Autor: | Ignacio Montes, Vladimír Janiš, Nikhil R. Pal, Susana Montes |
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| Rok vydání: | 2016 |
| Předmět: |
Pointwise
Discrete mathematics 0209 industrial biotechnology Fuzzy classification Applied Mathematics Fuzzy set 02 engineering and technology Type-2 fuzzy sets and systems Defuzzification Algebra 020901 industrial engineering & automation Computational Theory and Mathematics Artificial Intelligence Control and Systems Engineering 0202 electrical engineering electronic engineering information engineering Fuzzy set operations Fuzzy number 020201 artificial intelligence & image processing Membership function Mathematics |
| Zdroj: | IEEE Transactions on Fuzzy Systems. 24:360-373 |
| ISSN: | 1941-0034 1063-6706 |
| DOI: | 10.1109/tfuzz.2015.2457447 |
| Popis: | The comparison of Atanassov intuitionistic fuzzy sets (AIF-sets) is a topic that has been widely studied due to its several applications in image segmentation or decision making, among other fields. Divergences for AIF-sets (AIF-divergences) were introduced as an adequate measure of comparison for AIF-sets. This study investigates a family of AIF-divergences that satisfies a local property. Such a property allows us to compute the divergence between AIF-sets pointwise. A characterization of those AIF-divergences satisfying the local property is provided. Several interesting properties of local divergence are also discussed. Some applications of these AIF-divergences in pattern recognition and decision making illustrate their utility. |
| Databáze: | OpenAIRE |
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