A new class of functions, called Intuitionistic fuzzy π-generalized π-closed set is introduced. Basic properties of Intuitionistic fuzzy π-generalized π-closed set are studied. MSC: 68T27 • 68T37

In this article, we present inverse and implicit function theorems forH -differentiable functions and semismooth functions, thereby generalizing the classical inverse and implicit function theorems to certain classes of nonsmooth functions. The classical inverse function theorem [47] asserts that a continuously differentiable function f : R → R is locally invertible at a point with a continuous...

The AI community is increasingly putting its attention towards combining symbolic and neural approaches, as it often argued that the strengths weaknesses of these approaches are complementary. One recent trend in literature weakly supervised learning techniques employ operators from fuzzy logics. In particular, use prior background knowledge described such logics to help training a network unla...

The generalized fuzzy valued θ-Choquet integrals will be established for the given μ-integrable fuzzy valued functions on a general fuzzy measure space, and the convergence theorems of this kind of fuzzy valued integral are being discussed. Furthermore, the whole of integrals is regarded as a fuzzy valued set function on measurable space, the double-null asymptotic additivity and pseudo-double-...

in this paper, we introduce and characterize fuzzy wea-kly $e$-closed functions in fuzzy topological spaces and the relationship between these mappings and some properties of them are investigated.

Abstract In this paper, we establish some new inequalities of Simpson’s type for differentiable convex functions involving parameters and generalized fractional integrals. The results given in study are a generalization proved (Du, Li Yang Appl. Math. Comput. 293:358–369, 2017).

In this study, new midpoint-type inequalities are given through recently generalized Riemann–Liouville fractional integrals. Foremost, we present an identity for a class of differentiable functions including the proposed Then, several containing integrals proved by employing features convex and concave functions. Furthermore, all obtained results in study can be compared to previously published...