New generalized fuzzy soft rough approximations applied to fuzzy topological spaces
- 22 June 2018
- journal article
- research article
- Published by SAGE Publications in Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
- Vol. 35 (2) , 2123-2136
Abstract
In this paper, we introduce a generalized fuzzy soft rough model. A pair of new fuzzy soft rough approximations namely, fuzzy soft I ℙ -lower approximation and fuzzy soft I ℙ -upper approximation is proposed and their related properties are presented. Furthermore, we have succeeded to reduce the fuzzy soft boundary region comparing with already known in the literature. Finally, we obtain the structure of fuzzy soft ideal rough topologies induced by fuzzy soft sets and fuzzy ideals.Keywords
This publication has 33 references indexed in Scilit:
- Soft rough fuzzy sets and soft fuzzy rough setsComputers & Mathematics with Applications, 2011
- Soft sets and soft rough setsInformation Sciences, 2011
- Generalized fuzzy rough setsInformation Sciences, 2003
- A comparative study of fuzzy rough setsFuzzy Sets and Systems, 2002
- Soft set theory—First resultsComputers & Mathematics with Applications, 1999
- A comparative study of fuzzy sets and rough setsInformation Sciences, 1998
- Fuzzy ideal theory Fuzzy local function and generated fuzzy topologyFuzzy Sets and Systems, 1997
- Fuzzy topology. I. Neighborhood structure of a fuzzy point and Moore-Smith convergenceJournal of Mathematical Analysis and Applications, 1980
- Fuzzy topological spacesJournal of Mathematical Analysis and Applications, 1968
- Fuzzy setsInformation and Control, 1965