Categories related to topology viewed as soft sets

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Abstract

D. Molodtsov (1999) introduced the concept of a soft set as a new approach for modeling uncertain-ties. 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. © 2011. The authors-Published by Atlantis Press.

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Varol, B. P., Shostak, A., & Aygün, H. (2011). Categories related to topology viewed as soft sets. In Proceedings of the 7th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2011 and French Days on Fuzzy Logic and Applications, LFA 2011 (Vol. 1, pp. 883–890). Atlantis Press. https://doi.org/10.2991/eusflat.2011.52

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