A Solution Technique of Transportation Problem in Neutrosophic Environment

Manas Karak, Department of Mathematics, UmeschandraCollege,13 SuryaSen Street , Kolkata 700012, WB , IndiaFollow
Animesh Mahata, Department of Mathematics, Mahadevnagar High School, Maheshtala, Kolkata-700141, WB, IndiaFollow
Mahendra Rong, Department of Mathematics ,Bangabasi Evening college,19 Rajkumar Chakraborty Sarani, Kolkata -700009, WB, IndiaFollow
Supriya Mukherjee, Department of Mathematics, Gurudas College ,1/1 Suren Sarkar Road Kolkata -700054, WB, IndiaFollow
Sankar Prasad Mondal, Department of Applied Mathematics, Maulana Abul Kalam Azad University of Technology, Haringhata, 741249, West Bengal, IndiaFollow
Said Broumi, Laboratory of Information Processing , Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, MoroccoFollow
Banamali Roy, Department of Mathematics ,Bangabasi Evening college,19 Rajkumar Chakraborty Sarani, Kolkata -700009, WB, IndiaFollow

ORCID

Manas Karak: 0009-0003-6384-5246

Animesh Mahata: 0000-0002-4261-0611

Mahendra Rong: 0000-0001-5469-9628

Supriya Mukherjee: 0000-0001-5586-8358

Sankar Prasad Mondal: 0000-0003-4690-2598

Said Broumi: 0000-0002-1334-5759

Banamali Roy: 0000-0001-5231-1474

Article Type

Research Article

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.

Keywords

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

How to Cite

Karak, Manas; Mahata, Animesh; Rong, Mahendra; Mukherjee, Supriya; Mondal, Sankar Prasad; Broumi, Said; and Roy, Banamali (2023) "A Solution Technique of Transportation Problem in Neutrosophic Environment," Neutrosophic Systems with Applications: Vol. 3: Iss. 1, Article 2. DOI: https://doi.org/10.61356/j.nswa.2023.5