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$L$ -fuzzy ideal degrees in effect algebras

Xiaowei Wei, Fu Gui Shi (2022)

Kybernetika

In this paper, considering $L$ being a completely distributive lattice, we first introduce the concept of $L$ -fuzzy ideal degrees in an effect algebra $E$ , in symbol $𝔇_{e i}$ . Further, we characterize $L$ -fuzzy ideal degrees by cut sets. Then it is shown that an $L$ -fuzzy subset $A$ in $E$ is an $L$ -fuzzy ideal if and only if $𝔇_{e i} (A) = ⊤,$ which can be seen as a generalization of fuzzy ideals. Later, we discuss the relations between $L$ -fuzzy ideals and cut sets ( $L_{β}$ -nested sets and $L_{α}$ -nested sets). Finally, we obtain that the $L$ -fuzzy...

Large convexly independent subsets of Minkowski sums.

Swanepoel, Konrad J., Valtr, Pavel (2010)

The Electronic Journal of Combinatorics [electronic only]

Large equiangular sets of lines in euclidean space.

de Caen, D. (2000)

The Electronic Journal of Combinatorics [electronic only]

Large equilateral triangles inscribed in the unit disk of a Minkowski plane.

Fabińska, Ewa, Lassak, Marek (2004)

Beiträge zur Algebra und Geometrie

Largest j-Simplices in n-Polytopes.

V. Klee, P. Gritzmann, D. Larman (1995)

Discrete & computational geometry

Lattice Inequalities for Convex Bodies and Arbitrary Lattices.

Uwe Schnell (1993)

Monatshefte für Mathematik

Lattice Points on Convex Curves.

Bohuslav Divis (1973)

Monatshefte für Mathematik

Least deviation decomposition with respect to a pair of convex sets.

Luc, D.T., Martínez-Legaz, J.E., Seeger, A. (1999)

Journal of Convex Analysis

Length-preserving deformations of closed plane curvesc

Marek Rochowski (1973)

Colloquium Mathematicae

Les cinq métamorphoses des surfaces pavées

Christian Leger, Jean-Claude Terrasson (1987)

Diagrammes

Les (e...,...,e...)-convexes de R...; la proprieté d'intersection et les filtres maximaux de convexes.

G. Coquet, J.C. Dupin, R. Fourneau (1984)

Mathematica Scandinavica

Limite d'hypersurfaces localement convexes.

F. Labourie (1987)

Inventiones mathematicae

Limits and colimits of convexity spaces

Robert J. MacG. Dawson (1987)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Lipschitz continuous selectors. I: Linear selectors.

Przesławski, Krzysztof (1998)

Journal of Convex Analysis

Lipschitz sums of convex functions

Marianna Csörnyei, Assaf Naor (2003)

Studia Mathematica

We give a geometric characterization of the convex subsets of a Banach space with the property that for any two convex continuous functions on this set, if their sum is Lipschitz, then the functions must be Lipschitz. We apply this result to the theory of Δ-convex functions.

Currently displaying 1 – 20 of 23