A Solution Technique of Transportation Problem in Neutrosophic Environment

Authors

DOI:

https://doi.org/10.61356/j.nswa.2023.5

Keywords:

SVN-numbers, Level-1 neutrosophic points, sign distance ranking function, NTP

Abstract

In this article, we presented a ranking system based on the sign distance in a new direction, such that to compare different single-valued neutrosophic numbers (SVN-numbers), a decision maker has the chance of flexibility. We also developed some important definitions, like level-(α,β,γ) neutrosophic point, and some properties related to the sign distance ranking function. Finally, the sign distance ranking function is applied to solving the neutrosophic transportation problem (NTP) with SVN-number converted into a transportation problem (TP) with crisp data, and to illustrate the appropriateness of this function, we gave two numerical illustrations.

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Author Biographies

Manas Karak, Department of Mathematics, UmeschandraCollege,13 SuryaSen Street , Kolkata 700012, WB , India

 

 

Animesh Mahata, Department of Mathematics, Mahadevnagar High School, Maheshtala, Kolkata-700141, WB, India

 

 

Mahendra Rong, Department of Mathematics ,Bangabasi Evening college,19 Rajkumar Chakraborty Sarani, Kolkata -700009, WB, India

 

 

Supriya Mukherjee, Department of Mathematics, Gurudas College ,1/1 Suren Sarkar Road Kolkata -700054, WB, India

 

 

Sankar Prasad Mondal, Department of Applied Mathematics, Maulana Abul Kalam Azad University of Technology, Haringhata, 741249, West Bengal, India

 

 

Said Broumi, Laboratory of Information Processing , Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco

 

 

Banamali Roy, Department of Mathematics ,Bangabasi Evening college,19 Rajkumar Chakraborty Sarani, Kolkata -700009, WB, India

 

 

Graphical Abstract

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Published

2023-03-09

How to Cite

Manas Karak, Animesh Mahata, Mahendra Rong, Supriya Mukherjee, Sankar Prasad Mondal, Said Broumi, & Banamali Roy. (2023). A Solution Technique of Transportation Problem in Neutrosophic Environment. Neutrosophic Systems With Applications, 3, 17–34. https://doi.org/10.61356/j.nswa.2023.5