Certain Notions of Neutrosophic Topological K -Algebras

Muhammad Akram, Hina Gulzar, Florentin Smarandache and Said Broumi
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Muhammad Akram: Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan
Hina Gulzar: Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan
Florentin Smarandache: Department 705 Gurley Ave., University of New Mexico Mathematics & Science, Gallup, NM 87301, USA
Said Broumi: Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955, Sidi Othman, Casablanca 20000, Morocco

Mathematics, 2018, vol. 6, issue 11, 1-15

Abstract: The concept of neutrosophic set from philosophical point of view was first considered by Smarandache. A single-valued neutrosophic set is a subclass of the neutrosophic set from a scientific and engineering point of view and an extension of intuitionistic fuzzy sets. In this research article, we apply the notion of single-valued neutrosophic sets to K -algebras. We introduce the notion of single-valued neutrosophic topological K -algebras and investigate some of their properties. Further, we study certain properties, including C 5 -connected, super connected, compact and Hausdorff, of single-valued neutrosophic topological K -algebras. We also investigate the image and pre-image of single-valued neutrosophic topological K -algebras under homomorphism.

Keywords: K -algebras; single-valued neutrosophic sets; homomorphism; compactness; C 5 -connectedness (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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