@inproceedings{14b7aae7a81f4feb89ba797e260294bf,
title = "On a category of extensional fuzzy rough approximation L-valued spaces",
abstract = "We establish extensionality of some upper and lower fuzzy rough approximation operators on an L-valued set. Taking as the ground basic properties of these operators, we introduce the concept of an (extensional) fuzzy rough approximation L-valued space. We apply fuzzy functions satisfying certain continuity-type conditions, as morphisms between such spaces, and in the result obtain a category FRASPA(L) of fuzzy rough approximation L-valued spaces. An interpretation of fuzzy rough approximation L-valued spaces as L-fuzzy (di)topological spaces is presented and applied for constructing examples in category FRASPA(L).",
keywords = "Extensionality, Fuzzy function, Fuzzy rough approximation L-valued space, Fuzzy rough approximation operators, GL-monoid, L-valued set",
author = "Aleksandrs Eļkins and Alexander {\v S}ostak and Ingrīda Uļjane",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2016.; 16th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2016 ; Conference date: 20-06-2016 Through 24-06-2016",
year = "2016",
doi = "10.1007/978-3-319-40581-0\_5",
language = "English",
isbn = "9783319405803",
series = "Communications in Computer and Information Science",
publisher = "Springer Verlag",
pages = "48--60",
editor = "Susana Vieira and Carvalho, \{Joao Paulo\} and Marie-Jeanne Lesot and Bernadette Bouchon-Meunier and Uzay Kaymak and Yager, \{Ronald R.\}",
booktitle = "Information Processing and Management of Uncertainty in Knowledge-Based Systems - 16th International Conference, IPMU 2016, Proceedings",
address = "Germany",
}