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Stability of possibilistic multiobjective nonlinear programming problems without differentiability

โœ Scribed by Mohamed Abd El-Hady Kassem

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
417 KB
Volume
94
Category
Article
ISSN
0165-0114

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โœฆ Synopsis

This paper deals with multiobjective nonlinear programming problems with possibilistic variables and without differentiability for the considered objective functions. The concept of c~-possibly optimal solution is specified for the parametric approach with possibility data. A necessary and sufficient condition for such a solution is established. The basic notions like the solvability set and the stability sets of the first, second, third and fourth kind have been defined and analyzed, without differentiability assumptions on the considered functions, under the concept of c~-possibly feasible solution.

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