Interval-Valued Bipolar Trapezoidal Neutrosophic Number Approach in Distribution Planning Problem


  • Chhavi Jain Research Scholar, School of Business Studies, Sharda University, Greater Noida,Uttar Pradesh, India
  • R K Saini Department of Mathematical Sciences and Computer Applications, Bundelkhand University, Jhansi, Uttar Pradesh, India
  • Atul Sangal School of Business Studies, Sharda University, Greater Noida, Uttar Pradesh, India
  • Ashik Ahirwar Department of Mathematical Sciences and Computer Applications, Bundelkhand University, Jhansi, Uttar Pradesh, India


Interval Valued Bipolar Trapezoidal Neutrosophic Number, Fully Neutrosophic Transportation Problem, Interval Valued Fuzzy Numbers


An interval valued bipolar trapezoidal neutrosophic set [IVBTrNS] is a special neutrosophic set on the set of real numbers R, is a new generalization of bipolar fuzzy sets, neutrosophic sets, interval valued neutrosophic set, and bipolar neutrosophic sets, so that it can handle uncertain information more flexibly in the optimization. Distribution planning is a process in which we study the way to get materials and distribute the product from delivery point to the consuming point after production planning in supply chain. In the present research article, we propose concept of interval valued bipolar trapezoidal neutrosophic number [IVBTrNN] and its operations in the fully neutrosophic transportation problem [FNTP], where neutrosophic variable are required to be equal either 0 or 1. During the covid-19 pandemic, to maintain physical distance among, human, used & unused equipments and researchers, in place of crisp numbers, the interval-valued fuzzy numbers [IVFNs] are much effective to address the uncertainty & hesitation in real world situations. To save the human lives in a covid-19 pandemic, the crisp cost, demand, and crisp supply in transportation problem are not so effective in compression of neutrosophic numbers. The use of IVBTrNN in place of crisp number, are more suitable to distribute the necessary equipments, medicines, food products, and other relevant items from one place to another. To understand the practical applications of interval-valued neutrosophic numbers [IVNNs], a numerical of FNTP and conclusion also the part of this paper for better execution in support of our proposed result & methodology with IVBTrNNs.


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How to Cite

C. . Jain, R. K. . Saini, A. . Sangal, and A. . Ahirwar, “Interval-Valued Bipolar Trapezoidal Neutrosophic Number Approach in Distribution Planning Problem”, Int J Intell Syst Appl Eng, vol. 10, no. 3, pp. 390–402, Oct. 2022.



Research Article