On LM-G-filter degree and its characterizations

This paper introduces the concept of LM-G-filter degree of mappings from \(L^X \rightarrow M\). LM-G-filter degrees of mappings are characterized by L-pre G-filter spaces. Degrees to which an ordinary map is an LM-G-filter map, LM-G-filter preserving map and LM-G-filter isomorphism are also defined and their representations are obtained in several ways. Finally, the application potential of LM-G-filter degree in connection with various decision making situations is also brought out.