Categories Related to Topology Viewed as Soft Sets

PAZAR VAROL B., Shostak A., AYGÜN H.

7th Biannual Conference of the European-Society-for-Fuzzy-Logic-and-Technology (EUSFLAT)/17th Annual LFA Meeting, Aix-les-Bains, France, 18 - 22 July 2011, pp.883-890, (Full Text) identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume:
  • City: Aix-les-Bains
  • Country: France
  • Page Numbers: pp.883-890
  • Keywords: soft set, soft neighborhood set, L-fuzzifying soft neighborhood set, L-soft neighborhood set, L-fuzzy soft neighborhood set, topology, FUZZY TOPOLOGY
  • Kocaeli University Affiliated: Yes

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.