Fuzzy Goal Programming Method for Solving Multi-Objective Transportation Problems

α
S G Acharyulu
S G Acharyulu
σ
Dr.K Venkatasubbaiah
Dr.K Venkatasubbaiah
ρ
Dr. K V V Chandra Mouli
Dr. K V V Chandra Mouli
α GITAM University GITAM University

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Fuzzy Goal Programming Method for Solving Multi-Objective Transportation Problems

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Abstract

The multi-objective transportation problem refers to a special class of vector minimum linear programming problem, in which constraints are of inequality type and all the objectives are non-commensurable and conflict with each other. A common problem encountered in solving such multi-objective problems is that to identify a compromise solution among a large number of non-dominated solutions, the decision maker has to develop a utility function for meeting the desired goal. In this paper, fuzzy membership functions are considered and deviation goals also taken for each objective function. Fuzzy max-min operator is implemented to show the effectiveness of the proposed methodology. LINGO software package is used to solve constrained optimization problem. To illustrate the proposed method, two numerical examples are solved and the results have been compared with interactive, fuzzy and deviation criterion approaches.

References

15 Cites in Article
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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

S G Acharyulu. 1970. \u201cFuzzy Goal Programming Method for Solving Multi-Objective Transportation Problems\u201d. Global Journal of Research in Engineering - B: Automotive Engineering N/A (GJRE Volume 11 Issue B3): .

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Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

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The multi-objective transportation problem refers to a special class of vector minimum linear programming problem, in which constraints are of inequality type and all the objectives are non-commensurable and conflict with each other. A common problem encountered in solving such multi-objective problems is that to identify a compromise solution among a large number of non-dominated solutions, the decision maker has to develop a utility function for meeting the desired goal. In this paper, fuzzy membership functions are considered and deviation goals also taken for each objective function. Fuzzy max-min operator is implemented to show the effectiveness of the proposed methodology. LINGO software package is used to solve constrained optimization problem. To illustrate the proposed method, two numerical examples are solved and the results have been compared with interactive, fuzzy and deviation criterion approaches.

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Fuzzy Goal Programming Method for Solving Multi-Objective Transportation Problems

Dr.K Venkatasubbaiah
Dr.K Venkatasubbaiah
S G Acharyulu
S G Acharyulu GITAM University
Dr. K V V Chandra Mouli
Dr. K V V Chandra Mouli

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