Three new cut sets of fuzzy sets and new theories of fuzzy sets

Some new properties of fuzzy strongly ${{g}^{*}}$-closed sets and $delta {{g}^{*}}$-closed sets in fuzzy topological spaces

‎In this paper, a new class of fuzzy sets called fuzzy strongly ${{g}^{*}}$-closed sets is introduced and its properties are investigated. Moreover, we study some more properties of this type of closed spaces.

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 ...

Quasi-Cut of Fuzzy Sets and Quasi-Cut of Instuitionistic Fuzzy Sets

Quasi-Cut of Fuzzy Sets and Quasi-Cut of Instuitionistic Fuzzy Sets

The aim of this paper is to study the properties of t-cut set, strong t-cut set, t-quasi-cut set, strong t-quasi-cut set and ∈ ∨q-cut set of a fuzzy set μ. For any intuitionistic fuzzy A =< μA, νA > and α, β ∈ [0, 1], we define and study the properties of upper (α, β) cut setA(α,β), strong upper (α, β) cut setA(α, β) ̇ , lower (α, β) cut set A, strong lower (α, β) cut set A (α, β) ̇ , upper (α, β...

Quasi-Cut of Fuzzy Sets and Quasi-Cut of Instuitionistic Fuzzy Sets