Necessary and sufficient optimality conditions for fractional interval-valued variational problems

In this paper a special kind of variational programming problem involving fractional interval-valued objective function is considered. For such type of problem, insights into LU optimal solutions have been discussed. Using the LU optimal concept, we established optimality conditions for the consider...

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Bibliographic Details
Published in:Yugoslav Journal of Operations Research Vol. 33; no. 2; pp. 199 - 231
Main Authors: Rayanki, Vivekananda, Kummari, Krishna
Format: Journal Article
Language:English
Published: University of Belgrade 2023
Subjects:
duality
interval-valued programming problem
lu optimal solution
optimality
variational programming problem
ISSN:0354-0243, 1820-743X
Online Access:Get full text
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Summary:In this paper a special kind of variational programming problem involving fractional interval-valued objective function is considered. For such type of problem, insights into LU optimal solutions have been discussed. Using the LU optimal concept, we established optimality conditions for the considered problem. Further, We formulated a Mond-Weir dual problem and discussed appropriate duality theorems for the relationship between dual and primal problems.
ISSN:0354-0243
1820-743X
DOI:10.2298/YJOR210815028R