Results 11 to 20 of about 23,272 (312)

P-CLOSURE IN PSEUDO BCI-ALGEBRAS [PDF]

open access: yesJournal of Algebraic Systems, 2020
In this paper, for any non-empty subset C of a pseudo BCI-algebra X, the concept of p-closure of C, denoted by C(pc), is introduced and some related properties are investigated.
H. Harizavi
doaj   +1 more source

The Role of Soft θ-Topological Operators in Characterizing Various Soft Separation Axioms

open access: yesJournal of Mathematics, 2022
This manuscript begins with an introduction to a soft θ-kernel operator. Then, the main properties and connections of this soft topological operator with other known soft topological operators are examined.
Zanyar A. Ameen   +3 more
doaj   +1 more source

L-fuzzy closure operator [PDF]

open access: yesProyecciones (Antofagasta), 2017
The aim of this paper is to study L-fuzzy closure operator in Lfuzzy topological spaces. We introduce two kinds of L-fuzzy closure operators from different point view and prove that both L-TFCS–the category of topological L-fuzzy closure spaces–and L-PTFCS–the category of topological pointwise L-fuzzy closure spaces–are isomorphic to L-FCTOP.
YUE, YUELI, GUI SHI, FU
openaire   +2 more sources

Novel Characterizations of $LM$-Fuzzy Open Operators [PDF]

open access: yesTransactions on Fuzzy Sets and Systems, 2022
In this paper, we present some characterizations of the $LM$-fuzzy interior operator, the $LM$-fuzzy closure operator, $LM$-fuzzy semiopen operator and $LM$-fuzzy preopen operator in an $LM$-fuzzy topological space.
Fu-Gui Shi
doaj   +1 more source

Connectivity with respect to α-discrete closure operators

open access: yesOpen Mathematics, 2022
We discuss certain closure operators that generalize the Alexandroff topologies. Such a closure operator is defined for every ordinal α>0\alpha \gt 0 in such a way that the closure of a set AA is given by closures of certain α\alpha -indexed sequences ...
Šlapal Josef
doaj   +1 more source

Lattice Structure of Some Closed Classes for Three-Valued Logic and Its Applications

open access: yesMathematics, 2021
This paper provides a brief overview of modern applications of nonbinary logic models, where the design of heterogeneous computing systems with small computing units based on three-valued logic produces a mathematically better and more effective solution
Elmira Yu. Kalimulina
doaj   +1 more source

Some Unitary Operators on Hoop-algebras

open access: yesFuzzy Information and Engineering, 2017
In this paper, we introduce the notions of multiplier, ⊙-closure operator and modal operator on hoop-algebras. After that, we investigate some algebraic properties of multiplier, ⊙-closure operator and modal operator on hoop-algebras.
R. Tayebi Khorami, A. Borumand Saeid
doaj   +1 more source

Closure operators I

open access: yesTopology and its Applications, 1987
Closure operators form a familiar tool in topology. The authors introduce an abstract notion of closure operator in the realm of arbitrary categories. It turns out that there is a close connection between closure operators and factorization structures (for sinks).
DIKRANJAN, Dikran, . Giuli E.
openaire   +3 more sources

Entropy of Closure Operators and Network Coding Solvability

open access: yesEntropy, 2014
The entropy of a closure operator has been recently proposed for the study of network coding and secret sharing. In this paper, we study closure operators in relation to their entropy. We first introduce four different kinds of rank functions for a given
Maximilien Gadouleau
doaj   +1 more source

Level sets regularization with application to optimization problems

open access: yesCubo, 2020
Given a coupling function $c$ and a non empty subset of $\R$, we define a closure operator. We are interested in extended real-valued functions whose sub-level sets are closed for this operator. Since this class of functions is closed under pointwise
Moussa Barro, Sado Traoré
doaj   +1 more source

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