Categories Related to Topology Viewed as Soft Sets

DOI

10.2991/eusflat.2011.52How to use a DOI?

Keywords

soft set, soft neighborhood set, Lfuzzifying soft neighborhood set, L-soft neighborhood set, L-fuzzy soft neighborhood set, topology.

Abstract

D. Molodtsov (1999) introduced the concept of a soft set as a new approach for modeling uncertainties. The aim of this work is to define special kinds of soft sets, namely soft, L-fuzzifying soft, L-soft, and L-fuzzy soft neighborhood sets and to use them in order to give an alternative characterization of categories related to topology: crisp topological, L-topological, L-fuzzifying topological and L-fuzzy topological spaces.

Copyright

© 2011, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Banu Pazar Varol
AU  - Alexander Shostak
AU  - Halis Aygün
PY  - 2011/08
DA  - 2011/08
TI  - Categories Related to Topology Viewed as Soft Sets
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 883
EP  - 890
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.52
DO  - 10.2991/eusflat.2011.52
ID  - Varol2011/08
ER  -