Some remarks on neutro-fine topology
Journal Title: Journal of Fuzzy Extension & Applications - Year 2020, Vol 1, Issue 3
Abstract
The neutro-fine topological space is a space that contains a combination of neutrosophic and fine sets. In this study, the various types of open sets such as generalized open and semi-open sets are defined in such space. The concept of interior and closure on semi-open sets are defined and some of their basic properties are stated. These definitions extend the concept to generalized semi-open sets. Moreover, the minimal and maximal open sets are defined and some of their properties are studied in this space. As well as, discussed the complement of all these sets as its closed sets. The basic properties of the union and intersection of these open sets are stated in some theorems. Only a few sets satisfy this postulates, and others are disproved as shown in the counterexamples. The converse of some theorems is proved in probable examples.
Authors and Affiliations
Veerappan Chinnadurai, Mayandi Pandaram Sindhu
Keywords
Related Articles
- EP ID EP692656
- DOI 10.22105/JFEA.2020.251783.1020
- Views 232
- Downloads 0
Supplier selection using fuzzy AHP method and D-Numbers
Success in supply begins with the right choice of suppliers and in the long run is directly related to how suppliers are managed, because suppliers have a significant impact on the success or failure of a company. Multi-...
Interval valued Pythagorean fuzzy ideals in semigroups
In this paper, we define the new notion of interval-valued Pythagorean fuzzy ideals in semigroups and established the properties of its with suitable examples. Also, we introduce the concept of interval valued Pythagorea...
Interval type-2 fuzzy logic system for remote vital signs monitoring and shock level prediction
Interval Type-2 Fuzzy Logic Systems (IT2 FLSs) have shown popularity, superiority, and more accuracy in performance in a number of applications in the last decade. This is due to its ability to cope with uncertainty and...
Some similarity measures of spherical fuzzy sets based on the Euclidean distance and their application in medical diagnosis
Similarity measure is an important tool in multiple criteria decision-making problems, which can be used to measure the difference between the alternatives. In this paper, some new similarity measures of Spherical Fuzzy...
Evaluation and selection of supplier in supply chain with fuzzy analytical network process approach
One of the most important issues concerning the designing a supply chain is selecting the supplier. Selecting proper suppliers is one of the most crucial activities of an organization towards the gradual improvement and...