Yazar "Borzooei, Rajab Ali" seçeneğine göre listele

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    FUZZY SUB-EQUALITY ALGEBRAS BASED ON FUZZY POINTS
    (Lodz University, 2024) Aaly Kologani, Mona; Mohseni Takallo, Mohammad; Bae Jun, Young; Borzooei, Rajab Ali
    In this paper, by using the notion of fuzzy points and equality algebras, the notions of fuzzy point equality algebra, equality-subalgebra, and ideal were established. Some characterizations of fuzzy subalgebras were provided by using such concepts. We defined the concepts of (∈, ∈) and (∈, ∈ ∨ q)-fuzzy ideals of equality algebras, discussed some properties, and found some equivalent definitions of them. In addition, we investigated the relation between different kinds of (α, β)-fuzzy subalgebras and (α, β)-fuzzy ideals on equality algebras. Also, by using the notion of (∈, ∈)-fuzzy ideal, we defined two equivalence relations on equality algebras and we introduced an order on classes of X, and we proved that the set of all classes of X by these order is a poset. © Copyright by Author(s), Lódź 2023 © Copyright for this edition by the University of Lodz, Lódź 2023.
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    Matrix theory over ringoids
    (Univ Nis, Fac Sci Math, 2023) Rezaei, Akbar; Kim, Hee Sik; Borzooei, Rajab Ali; Saeid, Arsham Borumand
    We will study the notion of right distributive ringoids over a field which are neither rings, semi-rings, semi-hyperrings nor near-rings. Matrices over ringoids are defined, and new concepts such as top-row-determinate and down-row-determinate related to 2 x 2 matrices over a ringoid are introduced. Moreover, we investigate the notions of the (strongly, (very-) weak) orthogonality of vectors over a ringoid. Beside, we discuss the notion of incident vectors and define the concept of alpha -K-sphere on a ringoid, where K is a field and investigate some of their properties. Finally, we show that in a commutative ringoid all of the vectors are strongly orthogonal.
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    Reconstruction of old maps based on old photos using fuzzy graphs
    (Springer, 2024) Borzooei, Rajab Ali; Shadravan, M.; Takallo, M. Mohseni; Allahviranloo, Tofigh
    About 70 years ago, the reconstruction conjecture was proposed as an interesting problem in graph theory. In this paper, we extend the concept of reconstruction to fuzzy graphs and introduce the new concept of recognizable properties. We then explore various recognizable properties of fuzzy graphs, including regularity, degree sequence, strength, and block. Additionally, we identify some reconstructable fuzzy graphs. Finally, in conclusion, the reconstruction of fuzzy graphs can be applied to recover old maps by analyzing old photos.
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    Topology on CL-algebras
    (Springer science and business media deutschland GmbH, 2024) Khajeh Nasir H.; Aaly Kologani M.; Borzooei, Rajab Ali
    In this paper, by considering the notion of L-algebras and CL-algebras, we construct a topology on a bounded CL-algebra. Then, we investigate some of its topological properties, such as Hausdorff space, T0-space and T1-space and connectedness. Moreover, we express the relation between closed and compact sets in this topology. Finally, by considering the notion of semi-topological algebra, we prove that any commutative bounded CL-algebra is a right semi-topological algebra.