Combinatorics

Aerospace engineering

Isolated point

Topology (electrical circuits)

Pure mathematics

Soft set

Mathematics

Topological vector space

Intersection (aeronautics)

Topological space

Operating system

Separated sets

Epistemology

Engineering

Mathematical analysis

Philosophy

Artificial intelligence

Property (philosophy)

Compact space

Space (punctuation)

Computer science

Monotonic function

Fuzzy logic

Journal of Mathematics

It is well known every soft topological space induced from soft information system is soft compact. In this study, we integrate between soft compactness and partially ordered set to introduce new types of soft compactness on the finite spaces and investigate their application on the information system. First, we initiate a notion of monotonic soft sets and establish its main properties. Second, we introduce the concepts of monotonic soft compact and ordered soft compact spaces and show the relationships between them with the help of examples. We give a complete description for each one of them by making use of the finite intersection property. Also, we study some properties associated with some soft ordered spaces and finite product spaces. Furthermore, we investigate the conditions under which these concepts are preserved between the soft topological ordered space and its parametric topological ordered spaces. In the end, we provide an algorithm for expecting the missing values of objects on the information system depending on the concept of ordered soft compact spaces.

Compactness on Soft Topological Ordered Spaces and Its Application on the Information System