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

Authors: Sudipta Mishra; Rashmi Ranjan Ota

Addresses: ITER, SOA (Deemed to be University), Bhubaneswar, Odisha, India ' ITER, SOA (Deemed to be University), Bhubaneswar, Odisha, India

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.

Keywords: geometric programming; multi-objective; lexicographic method; pentagonal fuzzy parameters; robust method.

DOI: 10.1504/IJMOR.2025.148878

International Journal of Mathematics in Operational Research, 2025 Vol.32 No.2, pp.239 - 250

Received: 23 Sep 2023
Accepted: 22 Dec 2023
Published online: 30 Sep 2025 *

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