The aim of this paper is to introduce the concept of αψ-closed sets in terms of neutrosophic topological spaces. We also study some of the properties of neutrosophic αψ-closed sets. Further, we introduce continuity and contra continuity for the introduced set. The two functions and their relations are studied via a neutrosophic point set. © 2018 by the authors.

Parimala M

Department of Software and Systems Engineering

School of Information Technology and Engineering

Vellore Campus

Udhayakumar R

Department of Mathematics

School of Advanced Sciences

Mani Parimala

Smarandache F

Florentin Smarandache

Jafari S

Saeid Jafari

Ramalingam Udhayakumar

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Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

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The concept of interval neutrosophic sets has been studied and the introduction of a new kind of set in topological spaces called the interval valued neutrosophic support soft set has been suggested. We study some of its basic properties. The main purpose of this paper is to give the optimum solution to decision-making in real life problems the using interval valued neutrosophic support soft set. © 2018 by the authors.

Symmetry

Decision-Making via Neutrosophic Support Soft Topological Spaces

In this article, the concept of neutrosophic homeomorphism and neutrosophic αψ homeomorphism in neutrosophic topological spaces is introduced. Further, the work is extended as neutrosophic αψ∗ homeomorphism, neutrosophic αψ open and closed mapping and neutrosophic Tαψ space in neutrosophic topological spaces and establishes some of their related attributes.

Neutrosophic αψ-Homeomorphism in Neutrosophic Topological Spaces

New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications

Journal	Information
Publisher	MDPI AG
ISSN	20782489
Open Access	No