Lexicographic multi-objective geometric programming problems with pentagonal fuzzy parameters using robust method

Fuzzy logic is the most useful method for simulating complex real-world problems. In the process of creating models and coming up with solutions, it integrates ambivalence information. This paper outlines the process for resolving lexicographic multi-objective geometric programming problems with fuzzy parameters. After the introduction of pentagonal fuzzy parameters as the coefficients, the study utilises the robust method to defuzzify the programming problems. Finally, the solution is reached using the geometric programming technique. Two numerical examples have been given to illustrate our proposed methodology.

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Publication Details

Journal
International Journal of Mathematics in Operational Research
Published
2025-01-01
DOI
https://doi.org/10.1504/ijmor.2025.148878
Primary Topic
BIM and Construction Integration
Type
article
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article

Lexicographic multi-objective geometric programming problems with pentagonal fuzzy parameters using robust method

Sudipta Mishra, Rashmi Ranjan Ota
International Journal of Mathematics in Operational Research
BIM and Construction Integration
article

Lexicographic multi-objective geometric programming problems with pentagonal fuzzy parameters using robust method

Sudipta Mishra, Rashmi Ranjan Ota
article en

Abstract

Fuzzy logic is the most useful method for simulating complex real-world problems. In the process of creating models and coming up with solutions, it integrates ambivalence information. This paper outlines the process for resolving lexicographic multi-objective geometric programming problems with fuzzy parameters. After the introduction of pentagonal fuzzy parameters as the coefficients, the study utilises the robust method to defuzzify the programming problems. Finally, the solution is reached using the geometric programming technique. Two numerical examples have been given to illustrate our proposed methodology.

International Journal of Mathematics in Operational ResearchVol. 32(2)
Siksha O Anusandhan University (IN)
Openalex Percentile: Top 71%
BIM and Construction Integration
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