N-dimensional admissibly ordered interval-valued overlap functions and its influence in interval-valued fuzzy rule-based classification systems [PDF]
Overlap functions are a type of aggregation functions that are not required to be associative, generally used to indicate the overlapping degree between two values. They have been successfully used as a conjunction operator in several practical problems,
Sanz Delgado, José Antonio +5 more
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Some Inequalities Related to Interval-Valued ηh-Convex Functions
Convexity plays an important role in many areas of mathematics, especially in the study of optimization problems where they are distinguished by a number of convenient properties. Our aim is to introduce a more extended version of convexity.
Lei Chen +3 more
doaj +1 more source
Estimates of the Approximation Error Using Rademacher Complexity: Learning Vector-Valued Functions [PDF]
For certain families of multivariable vector-valued functions to be approximated, the accuracy of approximation schemes made up of linear combinations of computational units containing adjustable parameters is investigated.
Gnecco Giorgio +7 more
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Hermite-Hadamard and Schur-Type Inequalities for Strongly h-Convex Fuzzy Interval Valued Functions
The concept of fuzzy theory was developed in 1965 and becomes an acknowledged research subject in both pure and applied mathematics and statistics, showing how this theory is highly applicable and productive in many applications. In the present study, we
Putian Yang, Shiqing Zhang
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On comonotonically additive interval-valued functionals and interval-valued Choquet integrals(II) [PDF]
In this paper, we will define comonotonically additive interval-valued functionals which are generalized comonotonically additive real-valued functionals in Schmeidler[14] and Narukawa[12], and prove some properties of them. And we also investigate some relations between comonotonically additive interval-valued functionals and interval-valued Choquet ...
Lee-Chae Jang +2 more
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Fuzzy BCI-subalgebras with interval-valued membership functions
The purpose of this paper is to define the notion of an interval-valued fuzzy BCI-subalgebra (briefly, an i-v fuzzy BCI-subalgebra) of a BCI-algebra. Necessary and sufficient conditions for an i-v fuzzy set to be an i-v fuzzy BCI-subalgebra are stated. A
Sung Min Hong +3 more
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Equivalence of sequential Henstock and topological Henstock integrals for interval valued functions [PDF]
Suppose $X$ is a locally compact Hausdorff space and $\Omega \in \bigtriangleup$. If $ F $ is an interval valued function defined in $ \Omega $ with $F:\bar \Omega\rightarrow I_{\mathbb{R}}$.
Victor Iluebe, Adesanmi Mogbademu
doaj +1 more source
Interval-valued fuzzy coimplications and related dual interval-valued conjugate functions
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Renata Hax Sander Reiser +2 more
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On the Hermite–Hadamard inequalities for interval-valued coordinated convex functions
In this work, we introduce the notion of interval-valued coordinated convexity and demonstrate Hermite–Hadamard type inequalities for interval-valued convex functions on the co-ordinates in a rectangle from the plane.
Dafang Zhao +3 more
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Width-Based Interval-Valued Distances and Fuzzy Entropies
In this paper, we study distance measures between interval-valued fuzzy sets and entropies of interval-valued fuzzy sets. These are well-known and widely used notions in the fuzzy sets theory.
Zdenko Takac +4 more
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