Fuzziness, Indeterminacy and Soft Sets: Frontiers and Perspectives

Singularity and fuzziness of fuzzy sets

Measuring Fuzziness in Rough Sets

This paper presents a new fuzziness measure for rough sets. Fuzziness measures for rough sets may be employed to describe the inconsistency of a decision table. The definition of the fuzziness of a rough set proposed by Chakrabarty et al. has two drawbacks. The first is that the fuzziness of a rough set may not be unique. The second is that the fuzziness of a rough set with a large boundary may...

New distance and similarity measures for hesitant fuzzy soft sets

The hesitant fuzzy soft set (HFSS), as a combination of hesitant fuzzy and soft sets, is regarded as a useful tool for dealing with the uncertainty and ambiguity of real-world problems. In HFSSs, each element is defined in terms of several parameters with arbitrary membership degrees. In addition, distance and similarity measures are considered as the important tools in different areas such as ...

Hepatocellular carcinoma: clinical frontiers and perspectives.

Hepatocellular carcinoma (HCC) is one of the leading causes of cancer-related death and is currently the main event leading to death in patients with cirrhosis. Evolving information suggests that the metabolic syndrome with non-alcoholic liver disease may be an important cause of HCC in addition to viral hepatitis and alcohol-induced liver disease. The molecular pathogenesis is extremely comple...

Soft regular generalized b-closed sets in soft topological spaces

The main purpose of this paper is to introduce and study new classes of soft closed sets like soft regular generalized b-closed sets in soft topological spaces (briefly soft rgb-closed set) Moreover, soft rg-closed, soft gpr-closed, soft gb-closed, soft gsp-closed, soft g$alpha$-closed, soft g$alpha$b-closed, and soft sgb-closed sets in soft topological spaces are introduced in this paper and w...