p. 3 Tesselations by Connection in Orders p. 15 A Concise Characterization of 3D Simple Points p. 27 Digital n-Pseudomanifold and n-Weakmanifold in a Binary (n+1)-Digital Image p. 37 Digital Jordan Curve Theorems p. 46 A New Means for Investigating 3-Manifolds p. 57 Nearness in Digital Images and Proximity Spaces p. 69 Morphological Operators with Discrete Line Segments p. 78 Hausdorff Discreti...

In this paper, we have studied the notion of nearness $d$-algebras which is a generalization BCK-algebras (or NBCK-algebra for short). Therefore, it defined that notions d$-subalgebra, d-ideal in $d$-algebras. Afterward, investigated relations among them and gave some examples.

The focus of this article is on various approaches to discerning patterns in nonempty sets endowed with a proximity (nearness) relation. Patterns arise in repetitions of some form in the arrangement of the parts of a set. To simplify the steps leading to pattern discovery, an approach inspired by M. Katĕtov is used, where one proximitises certain parts of a nonempty set, rather than proximitise...

The significance of notions such as digital worlds and spaces remains vague despite their common use in humanities, the extent to which these are bound up with our relation place world is often disregarded. aim this article clarify philosophical underpinnings concepts, identify problematic aspects technologies, explore possibility developing a topological reflection on being environments. In dr...

The aim of this study is to introduce nearness Γ-near ring, Γ-subnear ring and Γ-ideal. Moreover, some properties these structures are investigated.

A matrix nearness problem consists of finding, for an arbitrary matrix A, a nearest member of some given class of matrices, where distance is measured in a matrix norm. A survey of nearness problems is given, with particular emphasis on the fundamental properties of symmetry, positive definiteness, orthogonality, normality, rank-deficiency and instability. Theoretical results and computational ...

Among the most paramount issues related to human self-understanding that are found in various cultures and ages are questions of the perfection of man and ultimate human happiness. In Islamic texts, ultimate human perfection is described as nearness to Allah. This article offers a brief review of the teachings of the Qur’ān on this topic and a sketch of the history of discussions of nearness to...

We explore a notion of fuzzy T -neighbourhood spaces, for any continuous triangular norm T , and we present on this notion a uni6ed treatment. Our theory, on one hand, generalizes the theory of Lowen (Fuzzy Sets and Systems 7 (1982) 65) from T =Min to arbitrary T , which has been the progenitor of this work, and on the other hand it is strongly related to the theory of L-neighbourhoods of H; oh...

The problem considered in this chapter is how to assess different perceptions of changing socio-technical conflicts. Our approach to the solution to this problem of assessing conflict dynamics is to consider negotiation views within the context of perceptual information systems. Briefly, perceptual information systems (succinctly, perceptual systems) are real-valued, total, deterministic inform...