On duality theory for multiobjective semi-infinite fractional optimization model using higher order convexity

Yadav, Tamanna; Gupta, S. K.

doi:10.1051/ro/2021064

Yadav, Tamanna ; Gupta, S. K.

RAIRO. Operations Research, Tome 55 (2021) no. 3, pp. 1343-1370

Résumé

In the article, a semi-infinite fractional optimization model having multiple objectives is first formulated. Due to the presence of support functions in each numerator and denominator with constraints, the model so constructed is also non-smooth. Further, three different types of dual models viz Mond-Weir, Wolfe and Schaible are presented and then usual duality results are proved using higher-order (K × Q) − (ℱ, α, ρ, d)-type I convexity assumptions. To show the existence of such generalized convex functions, a nontrivial example has also been exemplified. Moreover, numerical examples have been illustrated at suitable places to justify various results presented in the paper. The formulation and duality results discussed also generalize the well known results appeared in the literature.

MR Zbl

DOI : 10.1051/ro/2021064

Classification : 90C29, 90C32, 90C46
Keywords: Semi-infinite programming, fractional optimization model, support function, higher-order, generalized convexity

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     author = {Yadav, Tamanna and Gupta, S. K.},
     title = {On duality theory for multiobjective semi-infinite fractional optimization model using higher order convexity},
     journal = {RAIRO. Operations Research},
     pages = {1343--1370},
     year = {2021},
     publisher = {EDP-Sciences},
     volume = {55},
     number = {3},
     doi = {10.1051/ro/2021064},
     mrnumber = {4269473},
     zbl = {1471.90135},
     language = {en},
     url = {https://www.numdam.org/articles/10.1051/ro/2021064/}
}

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Yadav, Tamanna; Gupta, S. K. On duality theory for multiobjective semi-infinite fractional optimization model using higher order convexity. RAIRO. Operations Research, Tome 55 (2021) no. 3, pp. 1343-1370. doi: 10.1051/ro/2021064

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