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International Journal of Neutrosophic Science
Volume 14 , Issue 2, PP: 98-103 , 2021 | Cite this article as | XML |PDF


On Neutrosophic Fuzzy Ideal Concepts

Authors Names :   A. A. Salama   1 *     H. A. Elagamy   2  

1  Affiliation :  Department. of Math and Computer Science, Faculty of Science, Port Said University, Egypt

    Email :  drsalama44@gmail.com

2  Affiliation :  Department of Mathematics and Basic sciences, Ministry of Higher Education Higher Future institute of Engineering and Technology in Mansoura, Egypt

    Email :  hatemelagamy@yahoo.com

Doi   :   https://doi.org/10.54216/IJNS.140203

December 15, 2020 Accepted: March 27, 2021

Abstract :


The aim of this paper is to introduce and study some new neutrosophic fuzzy pairwise notions via neutrosophic fuzzy ideals. Relationships between the above new neutrosophic fuzzy pairwise notions and their other relevant classes are investigated 

Keywords :

Neutrosophic set; Neutrosophic topology; Neutrosophic ideal; Neutrosophic ideal open set; Neutrosophic closed set

References :


[1]  Abd El-Monsef, M.E.; Kozae, A. ; Salama, A. A.; and and H.Elagmy,”Fuzzy Pairwise PL-open Sets and Fuzzy Pairwise PL-contiunous Function”, International Journal of Theoretical and Mathematical Physics, 3(2),pp. 69-72, 2013.


[2]  M. E. Abd El-Monsef, A..Kozae ; A. A. Salama and H.M.Elagmy,”Fuzzy bitopological ideals spaces”, Journal of Computer Engineering, vol. 6, 4, pp.01-05, 2012.


[3]  F. Smarandache,”Neutrosophy and Neutrosophic Logic”, First International Conference on Neutrosophy ,Neutrosophic Logic , Set, Probability, and Statistics University of New Mexico, Gallup, NM 87301, USA, 2002.


[4]  F. Smarandache. A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, NeutrosophicProbability. American Research Press, Rehoboth, NM, 1999.


[5]  A.A. Salama and S.A. Alblowi,”Neutrosophic Set and Neutrosophic Topological Space”, ISOR J. mathematics (IOSR-JM), 3 (4), pp.31-35, 2012.


[6]  A. Salama, Florentin Smarandache, Valeri Kroumov, “Neutrosophic Crisp Sets & Neutrosophic Crisp Topological Spaces”, Neutrosophic Sets and Systems, vol. 2,  pp.25-30, 2014.


[7]  Anjan Mukherjee, Mithun Datta, Florentin Smarandache, “Interval Valued Neutrosophic Soft Topological Spaces”, Neutrosophic Sets and Systems, vol. 6, pp.18-27, 2014.


[8]  A. A. Salama, I. M. Hanafy, Hewayda Elghawalby, M. S. Dabash, “Neutrosophic Crisp α-Topological Spaces”, Neutrosophic Sets and Systems, vol. 12, pp. 92-96, 2016.


[9]  A. Salama, “Basic Structure of Some Classes of Neutrosophic Crisp Nearly Open Sets & Possible Application to GIS Topology”, Neutrosophic Sets and Systems, vol. 7, pp. 18-22,  2015.


[10]  A. Salama, Florentin Smarandache, S. A. Alblowi: New Neutrosophic Crisp Topological Concepts, Neutrosophic Sets and Systems, vol. 4, pp. 50-54, 2014.


[11]  A. A. Salama, F.Smarandache, “Neutrosophic Crisp Set Theory”, Educational. Education Publishing 1313 Chesapeake, Avenue, Columbus, Ohio 43212, 2015.


[12]A. A. Salama, Florentin Smarandache,”Neutrosophic Ideal Theory: Neutrosophic Local Function, and Generated Neutrosophic Topology”, Neutrosophic Theory and Its Applications, Vol. I: Collected Papers, pp.213-218, 2014.


[13]  A. A. Salama,”Neutrosophic Crisp Points & Neutrosophic Crisp Ideals”, Neutrosophic Sets and Systems, Vol. 1, 50-53, 2013.


[14] A. A. Salama, Rafif Alhabib, “Neutrosophic Ideal layers & Some Generalizations for GIS Topological Rules”, International Journal of Neutrosophic Science, Vol.8,(1), pp.44-49, 2020.


[15]    A. A. Salama, Florentin Smarandache,”Neutrosophic Local Function and Generated Neutrosophic Topology”, Neutrosophic Knowledge, vol.(1), pp. 1-6, 2020.


Cite this Article as :
A. A. Salama , H. A. Elagamy, On Neutrosophic Fuzzy Ideal Concepts, International Journal of Neutrosophic Science, Vol. 14 , No. 2 , (2021) : 98-103 (Doi   :  https://doi.org/10.54216/IJNS.140203)