@inproceedings{f8a06837e64045d891141b58e5361de0,
title = "Interval-valued functions in a quotient space",
abstract = "This article analyzes the quotient space of compact intervals of R with respect to the family of symmetric intervals. We analyze some algebraic and topological properties of this quotient space. Since the space of compact intervals can be embed on this quotient space, we introduce a concept of differentiability for interval-valued functions and then, we make a comparison with other concepts of differentiability. Finally, we discuss necessary conditions in order to show that the solutions of an interval differential equations considering the first and second type of gH-differentiability belong to the same equivalence class.",
keywords = "Bismuth, Differential equations, Electronic mail, Human computer interaction, Mathematical analysis, Measurement, Optimization",
author = "Villamizar-Roa, \{Elder J.\} and Y. Chalco-Cano and H. Roman-Flores",
note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS 2015 ; Conference date: 17-08-2015 Through 19-08-2015",
year = "2015",
month = sep,
day = "29",
doi = "10.1109/NAFIPS-WConSC.2015.7284182",
language = "English",
series = "Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
booktitle = "2015 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS 2015",
address = "United States",
}