Alienation of the Set-Valued Drygas-Additive and Quadratic-Additive Functional Equations [PDF]
Consider $Y$ as a real Hausdorff topological vector space and $(G,+)$ as a Abelian group uniquely divisible by 2. In this paper, the solutions and stability of the Pexiderized set-valued functional equations\begin{align*} f(x+y)+f(x-y)+g(x+y)&=2f(x)+
Elham Mohammadi +2 more
doaj +1 more source
Distance-Based Knowledge Measure and Entropy for Interval-Valued Intuitionistic Fuzzy Sets
The knowledge measure or uncertainty measure for constructing interval-valued intuitionistic fuzzy sets has attracted much attention. However, many uncertainty measures are measured by the entropy of interval-valued intuitionistic fuzzy sets, which ...
Chunfeng Suo, Xuanchen Li, Yongming Li
doaj +1 more source
The descriptive set-theoretic complexity of the set of points of continuity of a multi-valued function (Extended Abstract) [PDF]
In this article we treat a notion of continuity for a multi-valued function F and we compute the descriptive set-theoretic complexity of the set of all x for which F is continuous at x.
Vassilios Gregoriades
doaj +1 more source
Error bounds for mixed set-valued vector inverse quasi-variational inequalities
The purpose of this paper is to introduce and study the mixed set-valued vector inverse quasi-variational inequality problems (MSVIQVIPs) and to obtain error bounds for this kind of MSVIQVIP in terms of the residual gap function, the regularized gap ...
Shih-sen Chang +4 more
doaj +1 more source
The descriptive set-theoretic complexity of the set of points of continuity of a multi-valued function [PDF]
In this article we treat a notion of continuity for a multi-valued function $F$ and we compute the descriptive set-theoretic complexity of the set of all $x$ for which $F$ is continuous at $x$.
Vassilios Gregoriades
doaj +1 more source
This paper provides a vector-valued level set-based topology optimization method for multiple materials. The proposed method is characterized by a perfectly symmetric representation of multi-material by a vector valued level set function, which lowers ...
Masaki NODA +2 more
doaj +1 more source
(α, β, γ)-Equalities of single valued neutrosophic sets [PDF]
The single valued neutrosophic set (SVNS) is a subclass of neutrosophic set, which can describe and handle indeterminate information and inconsistent information. Since a SVNS is characterized independently by three functions: a truth-membership function,
Songsong Dai
doaj +1 more source
Pentapartitioned Neutrosophic Soft Set with Interval Membership [PDF]
In this article, the concept of Interval valued pentapartitioned neutrosophic soft set (IVPNSS) has been introduced, which is a hybrid method by combining Pentapartitioned Neutrosophic set and Interval valued soft set.
Mithun Datta +2 more
doaj +1 more source
Interval Subsethood Measures with Respect to Uncertainty for the Interval-Valued Fuzzy Setting
In this paper, the problem of measuring the degree of subsethood in the interval-valued fuzzy setting is addressed. Taking into account the widths of the intervals, two types of interval subsethood measures are proposed.
Barbara Pękala +8 more
doaj +1 more source
Jensen m-Convexity on Set-Valued Function
This paper discusses the class of Jensen m-convex functions and their properties, leading to enhancements of these functions and Jensen's inequalities for set-valued functions.
Eko Dedi Pramana +2 more
doaj +1 more source

