Fuzzy measures and measures of fuzziness

Relationships between uncertainty measures, fuzziness measures and divergence measures

Measures of Fuzziness under Different Uses of Fuzzy Sets

In this paper we discuss on the relationship between fuzziness and its measuring on the one side, and the possible uses of fuzzy sets on the other side. We conclude that the usual axioms and measures of fuzziness disregard the commensurability assumption and view the fuzzy set as a collection of fuzzy singletons. We propose new axioms and a relation “less fuzzy than” for a conjunctive view of f...

S-measures, T-measures and distinguished classes of fuzzy measures

Measures of fuzzy semicompactness in $L$-fuzzy topological spaces

In this paper, the notion of fuzzy semicompactness degrees isintroduced in $L$-fuzzy topological spaces by means of theimplication operation of $L$. Characterizations of fuzzysemicompactness degrees in $L$-fuzzy topological spaces  areobtained, and some properties of fuzzy semicompactness degrees areresearched.

Entropy and Similarity Measures For Interval-Valued Intuitionistic Fuzzy Sets Based on Intuitionism and Fuzziness

Many authors have developed lots of entropies and similarity measures for interval-valued intuitionistic fuzzy sets(IvIFSs). In this paper, we first review some famous entropies for IvIFSs. Then, a new entropy for IvIFSs based on intuitionism and fuzziness is proposed and proved to satisfy the axiomatic requirements given by Liu and Zhang. Furthermore, a new class of similarity measure for IvIF...