Interval-Valued Programming Problem with Infinite Constraints

In this paper, we explore a class of interval-valued programming problem where constraints are interval-valued and infinite. Necessary optimality conditions are derived. Notion of generalized ( Φ , ρ ) - invexity is utilized to establish sufficient optimality conditions. Further, two duals, namely W...

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Veröffentlicht in:Journal of the Operations Research Society of China (Internet) Jg. 6; H. 4; S. 611 - 626
Hauptverfasser: Kumar, Promila, Sharma, Bharti, Dagar, Jyoti
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Beijing Operations Research Society of China 01.12.2018
Springer Nature B.V
Schlagworte:
Euclidean space
Hypotheses
Inequality
Management Science
Mathematical functions
Mathematics
Mathematics and Statistics
Operations Research
Optimization
Interval valued
Generalized invexity
90C46
LU-optimal solution
Semi-infinite
Duality
90C26
ISSN:2194-668X, 2194-6698
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Zusammenfassung:In this paper, we explore a class of interval-valued programming problem where constraints are interval-valued and infinite. Necessary optimality conditions are derived. Notion of generalized ( Φ , ρ ) - invexity is utilized to establish sufficient optimality conditions. Further, two duals, namely Wolfe and Mond–Weir, are proposed for which duality results are proved.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2194-668X
2194-6698
DOI:10.1007/s40305-018-0206-6