The Karush–Kuhn–Tucker conditions for multiple objective fractional interval valued optimization problems
RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 4, pp. 1161-1188.

In this article, we focus on a class of a fractional interval multivalued programming problem. For the solution concept, LU-Pareto optimality and LS-Pareto, optimality are discussed, and some nontrivial concepts are also illustrated with small examples. The ideas of LU-V-invex and LS-V-invex for a fractional interval problem are introduced. Using these invexity suppositions, we establish the Karush–Kuhn–Tucker optimality conditions for the problem assuming the functions involved to be gH-differentiable. Non-trivial examples are discussed throughout the manuscript to make a clear understanding of the results established. Results obtained in this paper unify and extend some previously known results appeared in the literature.

DOI : 10.1051/ro/2019055
Classification : 90C29, 90C30, 90C32, 90C46
Mots-clés : Fractional programming, multiobjective programming, interval valued problem, LU-$$/LS-$$-invex, $$-differentiable 
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     author = {Debnath, Indira P. and Gupta, Shiv K.},
     title = {The {Karush{\textendash}Kuhn{\textendash}Tucker} conditions for multiple objective fractional interval valued optimization problems},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {1161--1188},
     publisher = {EDP-Sciences},
     volume = {54},
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     mrnumber = {4109817},
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Debnath, Indira P.; Gupta, Shiv K. The Karush–Kuhn–Tucker conditions for multiple objective fractional interval valued optimization problems. RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 4, pp. 1161-1188. doi : 10.1051/ro/2019055. http://www.numdam.org/articles/10.1051/ro/2019055/

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