Abstract:
Intuitionistic fuzzy sets, neutrosophic sets, rough sets and soft sets are different mathematical
tools to deal the problem of how to understand and manipulate imperfect
knowledge. The intuitionistic fuzzy rough framework and soft rough neutrosophic
framework are made by combining these models, which are more flexible and expressive
for modeling and processing incomplete information in information systems. The
notions of intuitionistic fuzzy rough sets and soft rough neutrosophic sets are applied
to graph theory in this thesis. Novel hybrids models, namely, intuitionistic fuzzy rough
graphs and soft rough neutrosophic influence graphs are introduced. Certain methods
of their construction are developed. Further, efficient algorithms are developed to
solve decision-making problems. The time complexity of the algorithms is computed.
Moreover, MATLAB coding of the algorithms is given for the implementation of the
proposed hybrid models.
