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International Journal of Neutrosophic Science
Volume 3 , Issue 1, PP: 08-13 , 2020 | Cite this article as | XML | Html |PDF

Title

The Concept of Neutrosophic Limits in Real Sequences

  Huda E. Khalid * 1 ,   Ahmed K. Essa 2

1  Telafer University, Scientific Affairs and Cultural Relations Department, Telafer, Iraq
    (hodaesmail@yahoo.com)

2  Telafer University, Scientific Affairs and Cultural Relations Department, Telafer, Iraq
    (ahmed.essa@yahoo.com)

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Doi   :   https://doi.org/10.54216/IJNS.030102


Abstract :

The theory of neutrosophic limits is the natural step before developing the theory of neutrosophic continuous functions and developing the theory of neutrosophic differentiation. The goal of this work is to construct a new definition of the neutrosophic limits for real sequences using the distance as a linear operator. Some new theorems are presented to cover the theoretical notions of this topic and an illustrative example is presented to help the reader understanding the notions of this article.  

Keywords :

Neutrosophic Limits , Neutrosophic Convergence , Real Sequences.

References :

[1]     F. Smarandache., Neutrosophy, “A New Branch of Philosophy, Multiple-Valued Logic / An International Journal,” USA, ISSN 1023-6627, Vol. 8, No. 3, pp. 297-384, 2002.

[2]     F. Smarandache., “An Introduction to Neutrosophy, Neutrosophic Logic, Neutrosophic Set, and Neutrosophic Probability and Statistics,” First International Conference on Neutrosophy, Neutrosophic Logic, Set, Probability and Statistics December 1-3, 2001 the University of New Mexico, 2001.

[3]     F. Smarandache, "Neutrosophic Precalculus and Neutrosophic Calculus," Second enlarged edition, EuropaNova asbl Clos du Parnasse, 3E 1000, Bruxelles Belgium, European Union, 2015.

[4]     F. Smarandache & Huda E. Khalid, "Neutrosophic Precalculus and Neutrosophic Calculus," Second enlarged edition, Pons asbl 5, Quai du Batelage, Brussels, Belgium, European Union, 2018.

[5]     F. Smarandache, H. E. Khalid & A. K. Essa, “Neutrosophic Logic: the Revolutionary Logic in Science and Philosophy,” Proceedings of the National Symposium, EuropaNova, Brussels, 2018.

[6]     F. Smarandache, H. E. Khalid & A. K. Essa, “A New Order Relation on the Set of Neutrosophic Truth Values,” Book chapter of New Trends in Neutrosophic Theory and Applications, Pons asbl 5, Quai du Batelage, Brussels, Belgium, European Union, 2016.

[7]     F. Smarandache, H. E. Khalid, A. K. Essa, M. Ali, “The Concept of Neutrosophic Less Than or Equal To: A New Insight in Unconstrained Geometric Programming,” Critical Review,  Volume XII, pp. 72-80, 2016.

[8]     H. E. Khalid, “An Original Notion to Find Maximal Solution in the Fuzzy Neutrosophic Relation Equations (FNRE) with Geometric Programming (GP)”, Neutrosophic Sets and Systems, vol. 7, pp. 3-7, 2015. 

[9]     H. E. Khalid, “The Novel Attempt for Finding Minimum Solution in Fuzzy Neutrosophic Relational Geometric Programming (FNRGP) with (max, min) Composition”, Neutrosophic Sets and Systems, vol. 11, pp. 107-111, 2016.

[10]   H. E. Khalid, F. Smarandache, & A. K. Essa, “The Basic Notions for (over, off, under) Neutrosophic Geometric Programming Problems,” Neutrosophic Sets and Systems, 22, pp.50-62, 2018.

[11]   H. E. Khalid, “Geometric Programming Dealt with a Neutrosophic Relational Equations Under the  Operation,”Neutrosophic Sets in Decision Analysis and Operations Research, chapter four. IGI Global Publishing House, 2020. 

[12]   H. E. Khalid, “Neutrosophic Geometric Programming (NGP) with (max-product) Operator, An Innovative Model,”Neutrosophic Sets and Systems, vol. 32, pp.269-281, 2020.

[13]   H. E. Khalid, “Neutrosophic Geometric Programming (NGP) with (max-product) Operator, An Innovative Model”, Neutrosophic Sets and Systems, vol. 32, pp.454-463, 2020.

[14]   H. E. Khalid, F. Smarandache, & A. K. Essa, “A Neutrosophic Binomial Factorial Theorem with their Refrains,”Neutrosophic Sets and Systems, 14, 50-62, 2016.

[15]   M. Burgin, O. Duman,”Approximations by linear operators in spaces of fuzzy continuous functions,” Positivity 15,pp.57–72, 2011. DOI 10.1007/s11117-009-0041-4.

 

 

Cite this Article as :
Style #
MLA Huda E. Khalid *, Ahmed K. Essa. "The Concept of Neutrosophic Limits in Real Sequences." International Journal of Neutrosophic Science, Vol. 3, No. 1, 2020 ,PP. 08-13 (Doi   :  https://doi.org/10.54216/IJNS.030102)
APA Huda E. Khalid *, Ahmed K. Essa. (2020). The Concept of Neutrosophic Limits in Real Sequences. Journal of International Journal of Neutrosophic Science, 3 ( 1 ), 08-13 (Doi   :  https://doi.org/10.54216/IJNS.030102)
Chicago Huda E. Khalid *, Ahmed K. Essa. "The Concept of Neutrosophic Limits in Real Sequences." Journal of International Journal of Neutrosophic Science, 3 no. 1 (2020): 08-13 (Doi   :  https://doi.org/10.54216/IJNS.030102)
Harvard Huda E. Khalid *, Ahmed K. Essa. (2020). The Concept of Neutrosophic Limits in Real Sequences. Journal of International Journal of Neutrosophic Science, 3 ( 1 ), 08-13 (Doi   :  https://doi.org/10.54216/IJNS.030102)
Vancouver Huda E. Khalid *, Ahmed K. Essa. The Concept of Neutrosophic Limits in Real Sequences. Journal of International Journal of Neutrosophic Science, (2020); 3 ( 1 ): 08-13 (Doi   :  https://doi.org/10.54216/IJNS.030102)
IEEE Huda E. Khalid *, Ahmed K. Essa, The Concept of Neutrosophic Limits in Real Sequences, Journal of International Journal of Neutrosophic Science, Vol. 3 , No. 1 , (2020) : 08-13 (Doi   :  https://doi.org/10.54216/IJNS.030102)
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