@inproceedings{123a5c07c46c4cf48e9619f50c6c13da,
title = "M-bornologies on l-valued sets",
abstract = "We develop an approach to the concept of bornology in the framework of many-valued mathematical structures. It is based on the introduced concept of an M-bornology on an L-valued set (X, E), or an LM-bornology for short; here L is an iccl-monoid, M is a completely distributive lattice and E: X × X → L is an L-valued equality on the set X. We develop the basics of the theory of LM-bornological spaces and initiate the study of the category of LM-bornological spaces and appropriately defined bounded “mappings” of such spaces.",
keywords = "Bornology, Bounded L-fuzzy set, Fuzzy function, L-valued set, LM-valued bornology",
author = "Ingrīda Uļjane and Alexander {\v S}ostak",
note = "Publisher Copyright: {\textcopyright} 2018, Springer International Publishing AG.; Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2017 and 16th International Workshop on Intuitionistic Fuzzy Sets and Generalized Nets, IWIFSGN 2017 ; Conference date: 11-09-2017 Through 15-09-2017",
year = "2018",
doi = "10.1007/978-3-319-66827-7\_41",
language = "English",
isbn = "9783319668260",
series = "Advances in Intelligent Systems and Computing",
publisher = "Springer Verlag",
pages = "450--462",
editor = "Atanassov, \{Krassimir T.\} and Maciej Krawczak and Janusz Kacprzyk and Eulalia Szmidt and Slawomir Zadrozny and Maciej Krawczak",
booktitle = "Advances in Fuzzy Logic and Technology 2017 - Proceedings of",
address = "Germany",
}