An approach to optimize transportation problemswith neutrosophic numbers based on a newranking function

A transportation problem (TP) is built on the framework of supply-demand and cost parameters which are uncertain in nature. Neutrosophic numbers are capable of handling incomplete information. This paper introduces a new solution approach to optimize TPs with neutrosophic parameters based on a new r...

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Published inArchives of control sciences Vol. 34; no. 3; pp. 625 - 640
Main Authors Singh, Aakanksha, Arora, Ritu, Verma, Rajkumar, Arora, Shalini
Format Journal Article
LanguageEnglish
Published Warsaw De Gruyter Poland 01.10.2024
Polish Academy of Sciences
Subjects
basic unit-intervalmonotonic function
Decision making
Fuzzy sets
Linear programming
Mathematical programming
neutrosophic number
Operators (mathematics)
Parameter uncertainty
Ranking
ranking function
Supply & demand
Transportation problem
uncertainty
Online AccessGet full text
ISSN1230-2384
2300-2611
DOI10.24425/acs.2024.149674

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Abstract A transportation problem (TP) is built on the framework of supply-demand and cost parameters which are uncertain in nature. Neutrosophic numbers are capable of handling incomplete information. This paper introduces a new solution approach to optimize TPs with neutrosophic parameters based on a new ranking function. This function utilizes the attitudinal character of a basic unit-interval monotonic function inspired from the domain of continuous ordered weighted average operators. Ranking rules are established followed by defining a neutrosophic transportation problem. A solution methodology followed by solved numerical illustrates the efficiency of the proposed method. Conclusion and future directions summarize the work.
AbstractList A transportation problem (TP) is built on the framework of supply-demand and cost parameters which are uncertain in nature. Neutrosophic numbers are capable of handling incomplete information. This paper introduces a new solution approach to optimize TPs with neutrosophic parameters based on a new ranking function. This function utilizes the attitudinal character of a basic unit-interval monotonic function inspired from the domain of continuous ordered weighted average operators. Ranking rules are established followed by defining a neutrosophic transportation problem. A solution methodology followed by solved numerical illustrates the efficiency of the proposed method. Conclusion and future directions summarize the work.
Author Arora, Shalini
Arora, Ritu
Verma, Rajkumar
Singh, Aakanksha
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  organization: School of Economics and Business, Universidad de Talca, Talca, Chile
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  givenname: Shalini
  surname: Arora
  fullname: Arora, Shalini
  organization: Department of ASH, Indira Gandhi Delhi Technical University for Women, Delhi, India
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SubjectTerms basic unit-intervalmonotonic function
Decision making
Fuzzy sets
Linear programming
Mathematical programming
neutrosophic number
Operators (mathematics)
Parameter uncertainty
Ranking
ranking function
Supply & demand
Transportation problem
uncertainty
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Title An approach to optimize transportation problemswith neutrosophic numbers based on a newranking function
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