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A Lattice-Theoretic Approach to Multigranulation Approximation Space [PDF]

open access: yesThe Scientific World Journal, 2014
In this paper, we mainly investigate the equivalence between multigranulation approximation space and single-granulation approximation space from the lattice-theoretic viewpoint.
Xiaoli He, Yanhong She
doaj   +2 more sources

Quadripartitioned single valued neutrosophic sets with covering based rough sets and their matrix representation [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2022
The notion of a quadripartitioned single-valued neutrosophic set (in short QSVNS) is considered to be the more general mathematical framework of the neutrosophic set to model indeterminacy.
Somen Debnath
doaj   +1 more source

Roughness of Filters in Equality Algebras

open access: yesBulletin of the Section of Logic, 2023
Rough set theory is an excellent mathematical tool for the analysis of a vague description of actions in decision problems. Now, in this paper by considering the notion of an equality algebra, the notion of the lower and the upper approximations are ...
Gholam Reza Rezaei   +3 more
doaj   +1 more source

Best multi Approximation of Unbounded Functions by Using Modulus of Smoothness [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2021
We present an estimate of the degree of best multi approximation of unbounded function on 〖[-1,1]〗^d by algebraic polynomials in weighted space. The studied of the relation between the best approximation of derivatives functions in weighted space and the
Omar Khashan   +2 more
doaj   +1 more source

N- Monotone Approximation in Weighted Space [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2022
The purpose of this paper is to discuss the degree of best monotone multi- approximation of unbounded functions weighted space in terms the modules of smoothness by using some algebraic linear operators. In addition, introduced ,proofs some properties of
Alaa Adnan, Wameeth Ali
doaj   +1 more source

A study on new classes of binary soft sets in topological rough approximation space

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
Soft binary relation is used to define new classes of soft sets, namely BR-soft simply open set and BR-soft simply* alpha open set, in topological rough approximation space over two different universes.
C.R. Parvathy, A. Sofia
doaj   +1 more source

Best Co-Approximation In Weighted Space [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2022
In this paper, we present best co- approximation in weighted space. The results considered are these of existence of functions of best co- approximation, specifications of co-a proximal and specification co- Chebyshev subspaces.
Alaa Auad, Alaa Hussain
doaj   +1 more source

THE IMPLEMENTATION OF A ROUGH SET OF PROJECTIVE MODULE

open access: yesBarekeng, 2023
In ring and module theory, one concept is the projective module. A module is said to be projective if it is a direct sum of independent modules. (U, R)  is an approximation space with non-empty set  and equivalence relation   If X subset U, we can form
Gusti Ayu Dwiyanti   +2 more
doaj   +1 more source

Homomorphisms of Approximation Spaces [PDF]

open access: yesJournal of Applied Mathematics, 2012
The notion of the homomorphism of approximation spaces is introduced. Some properties of homomorphism are investigated, and some characterizations of homomorphism are given. Furthermore, the notion of approximation subspace of approximation spaces is introduced. The relations between approximation subspaces and homomorphisms are studied.
Wang, Zhaohao, Shu, Lan, Ding, Xiuyong
openaire   +3 more sources

On IVF Approximating Spaces [PDF]

open access: yesJournal of Applied Mathematics, 2013
We introduce the concept of IVF approximating spaces and obtain decision conditions that every IVF topological space is an IVF approximating space.
Zheng, Dingwei   +2 more
openaire   +4 more sources

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