394 248
Full Length Article
Volume 6 , Issue 2, PP: 97-105 , 2020

Title

A Study of the Integration of Neutrosophic Thick Function

Authors Names :   Malath F. Alaswad   1 *  

1  Affiliation :  Department of Mathematics, Faculty of Science, AL- Baath University, Homs, Syria

    Email :  Malaz.aswad@yahoo.com



Doi   :  10.5281/zenodo.3841632


Abstract :

  In this paper, the definition of neutrosophic thick function and its integral are introduced. The main objective is defining a differential linear equation based on the thick function and finding solutions for this equation.

Keywords :

Neutrosophic Thick Function , Neutrosophic Integration

References :

[1]      F. Smarandache, Neutrosophic Precalculus and Neutrosophic Calculus, University of New Mexico, Digital Repository, Albuquerque, NM, USA, 2015.

[2]      F. Smarandache, Neutrosophic  Measure and  Neutrosophic Integral, in Neutrosophic Sets and Systems, 3 – 7, Vol. 1, 2013.

[3]      A. A Salama, Smarandache F. Kroumov, Neutrosophic Closed Set and Continuous Functions, in Neutrosophic Sets and Systems, Vol.4, pp.4- 8, 2014.

[4]      A. A Salama; I. M Hanafy; Hewayda Elghawalby  Dabash M.S, "Neutrosophic Crisp Closed Region and Neutrosophic Crisp Continuous Functions", New Trends in Neutrosophic Theory and Applications..

[5]      A. A Salama; Hewayda Elghawalby; M.S, Dabash; A.M. NASR, Retrac Neutrosophic Crisp System For Gray Scale Image, Asian Journal Of Mathematics and Computer Research, Vol 24, pp.104-117, 2018.

[6]      F. smarandache. "Neutrosophy and Neutrosophic Logic, First International Conference on Neutrosophy, neutrosophic Logic, Set, Probability, and Statistics" University of New Mexico, Gallup, NM87301, USA 2002.

[7]      M. Abdel-Basset; E. Mai. Mohamed; C. Francisco; H. Z. Abd EL-Nasser "Cosine similarity measures of bipolar neutrosophic set for diagnosis of bipolar disorder diseases" Artificial Intelligence in Medicine Vol. 101, 101735, 2019.

[8]      M. Abdel-Basset; E. Mohamed; G. Abdullah; and F. Smarandache. "A novel model for evaluation Hospital medical care systems based on plithogenic sets" Artificial Intelligence in Medicine 100 (2019), 101710.

[9]       M. Abdel-Basset; G. Gunasekaran Mohamed; G. Abdullah. C. Victor, "A Novel Intelligent Medical Decision Support Model Based on soft Computing and Iot" IEEE Internet of Things Journal, Vol. 7, 2019.

[10]    M. Abdel-Basset; E. Mohamed; G. Abdullah; G. Gunasekaran; L. Hooang Viet." A novel group decision making model based on neutrosophic sets for heart disease diagnosis" Multimedia Tools and Applications, 1-26, 2019.

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

[12]    A. A Salama; F. Smarandache. Neutrosophic Set Theory, Neutrosophic Sets and Systems, Vol. 5, pp.1-9, 2014.

[13]    F. Smarandache, The Neutrosophic Triplet Group and its Application to Physics, Seminar Universidad National de Quilmes , Department of Science  and Technology, Beunos Aires, Argentina, 20 June 2014.

[14]    A. B.AL-Nafee; R.K. Al-Hamido; F.Smarandache. "Separation Axioms In Neutrosophic Crisp Topological Spaces", Neutrosophic Sets and Systems, vol. 25, pp.25-32, 2019.

[15]    R.K. Al-Hamido, Q.  H.  Imran, K. A. Alghurabi, T. Gharibah, “On Neutrosophic Crisp Semi Alpha Closed Sets”, Neutrosophic Sets and Systems”, vol. 21, pp.28-35, 2018. 

[16]    Q.  H.  Imran, F. Smarandache, R.K. Al-Hamido, R. Dhavasselan, “On Neutrosophic Semi Alpha open Sets”, Neutrosophic Sets and Systems, vol. 18, pp.37-42, 2017.

[17]    R. K..Al-Hamido, “A study of multi-Topological Spaces”, PhD Theses, AlBaath university , Syria, 2019.

[18]    R. K.Al-Hamido,“Neutrosophic Crisp Supra Bi-Topological Spaces”, International Journal of Neutrosophic Science, Vol. 1, pp.66-73, 2018. 

[19]    R.K. Al-Hamido, “Neutrosophic Crisp Bi-Topological Spaces”, Neutrosophic Sets and Systems, vol. 21, pp.66-73, 2018. 

[20]    R.K. Al-Hamido, T. Gharibah, S. Jafari F.Smarandache, “On Neutrosophic Crisp Topology via N-Topology”, Neutrosophic Sets and Systems, vol. 21, pp.96-109, 2018.

[21]    A. Hatip, "The Special Neutrosophic Functions," International Journal of Neutrosophic Science, Volume 4 , Issue 2, pp. 104-116, 2020.