Near Groups of Weak Cosets on Nearness Approximation Spaces

• Autorzy: Őztürk, M. A. , Uçkun, M. , İnan, E.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we consider the problem of how to establish algebraic structures of near sets on nearness approximation spaces. Essentially, our approach is define the near group of all weak cosets by considering an operation on the set of all weak cosets. Afterwards, our aim is to study near homomorphism theorems on near groups, and investigate some properties of near groups.

Słowa kluczowe

EN

near set; near group; weak coset; near homomorphism

• Czasopismo: Fundamenta Informaticae
• Rocznik: 2014
• Tom: Vol. 133, nr 4
• Strony: 433--448
• Opis fizyczny: Bibliogr. 12 poz., tab.

Twórcy

autor

Őztürk, M. A.

• Department of Mathematics, Faculty of Arts and Sciences, Adıyaman University, Adıyaman, Turkey,

autor

Uçkun, M.

• Department of Mathematics, Faculty of Arts and Sciences, Adıyaman University, Adıyaman, Turkey

autor

İnan, E.

• Department of Mathematics, Faculty of Arts and Sciences, Adıyaman University, Adıyaman, Turkey

Bibliografia

• [1] İnan, E., Őztürk, M. A.: Near groups on nearness approximation spaces, Hacet J Math Stat, 41(4), 2012, 545–558.
• [2] İnan, E., Őztürk, M. A.: Erratum and notes for near groups on nearness approximation spaces, Hacet J Math Stat, 43(2), 2014, 279–281.
• [3] Naimpally, S. A., Peters, J. F.: Topology with Applications, Topological Spaces via Near and Far, World Scientific, 2013.
• [4] Őztürk, M. A., İnan, E.: Soft Nearness Approximation Spaces, Fund Inform, 124(1), 2013, 231–250.
• [5] Peters, J. F.: Near sets, General theory about nearness of objects, Appl Math Sci, 1(53–56), 2007, 2609–2629.
• [6] Peters, J. F.: Near sets: An introduction, Math Comput Sci, DOI 10.1007/s11786-013-0149-6, 2013, 3–9.
• [7] Peters, J. F.: Near sets, Special theory about nearness of objects, Fund Inform, 75(1–4), 2007, 407–433.
• [8] Peters, J. F.: Proximal relator spaces, Filomat, 2014 (in press).
• [9] Peters, J. F.: Topology of Digital Images. Visual Pattern Discovery in Proximity Spaces, vol. 63 of Intelligent Systems Reference Library, Springer, 2014, ISBN 978-3-642-53844-5, 1–342.
• [10] Peters, J. F., İnan, E., Őztürk, M. A.: Spatial and descriptive isometries in proximity spaces, Gen Math Notes, 21(2), 2014, 125-134.
• [11] Peters, J. F., Tiwari, S.: Approach merotopies and near filters, Gen Math Notes, 3(1), 2011, 1–15.
• [12] Peters, J. F., Naimpally, S. A.: Applications of near sets, Notices Amer Math Soc, 59(4), 2012, 536–542

Identyfikatory

DOI

10.3233/FI-2014-1085