Soft covering based rough graphs and corresponding decision making

Choonkil Park, Nasir Shah, Noor Rehman, Abbas Ali, Muhammad Irfan Ali, Muhammad Shabir

Research output: Contribution to journalArticle

Abstract

Soft set theory and rough set theory are two new tools to discuss uncertainty. Graph theory is a nice way to depict certain information. Particularly soft graphs serve the purpose beautifully. In order to discuss uncertainty in soft graphs, some new types of graphs called soft covering based rough graphs are introduced. Several basic properties of these newly defined graphs are explored. Applications of soft covering based rough graphs in decision making can be very fruitful. In this regard an algorithm has been proposed.

Original languageEnglish
Pages (from-to)423-438
Number of pages16
JournalOpen Mathematics
Volume17
Issue number1
DOIs
StatePublished - 2019 Jan 1

Keywords

  • approximation space
  • decision making
  • rough sets
  • soft covering based rough graphs
  • soft graphs

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    Park, C., Shah, N., Rehman, N., Ali, A., Ali, M. I., & Shabir, M. (2019). Soft covering based rough graphs and corresponding decision making. Open Mathematics, 17(1), 423-438. https://doi.org/10.1515/math-2019-0033