On Solving Three Level Fractional Programming Problem with Rough Coefficient in Constraints

Omran, Mohamed; Emam, O. E.; Mahmoud, A. S.

doi:10.9734/bjmcs/2016/21932

Cited by 4 publications

(1 citation statement)

References 11 publications

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“…Batamiz et al [13] dealt with interval multi-objective linear programming (IMOLP). Omran et al [14] studied three level fractional programming problem with rough coefficient in constraints. Borza et al [15] depicted a parametric approach for solving FPP with interval co-efficients.…”

Section: Bulletin Of Electr Eng and Inf Issn: 2302-9285mentioning

confidence: 99%

A study on the solution of interval linear fractional programming problem

Murugan,

Thamaraiselvan

2024

Bulletin EEI

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Interval linear fractional programming problem (ILFPP) approaches uncertain-ties in real-world systems such as business, manufacturing, finance, and eco-nomics. In this study, we propose solving the interval linear fractional pro-gramming (ILFP) problem using interval arithmetic. Further, to construct the problem, a suitable variable transformation is used to form an equivalent ILP problem, and a new algorithm is depicted to obtain the optimal solution with-out converting the problem into its conventional form. This paper compares the range, solutions, and approaches of ILFP with fuzzy linear fractional pro-gramming (FLFP) in solving real-world optimization problems. The illustrated numerical examples show a better range of interval solutions on practical appli-cations of ILFPs and uncertain parameters.

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Section: Bulletin Of Electr Eng and Inf Issn: 2302-9285mentioning

confidence: 99%

A study on the solution of interval linear fractional programming problem

Murugan,

Thamaraiselvan

2024

Bulletin EEI

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Stochastic Fuzzy Multi-level Multi-objective Fractional Programming Problem: A FGP Approach

2017

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A Survey on Rough Intervals Programming Formulation and Methodologies

Abohany

Abou-Seida

2021

Kafrelsheikh Journal of Information Sciences

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This research states a survey on formulation of linear programming problems with rough intervals coefficients in the objective functions and constraints, basic preliminaries about rough intervals, interval method and trust probability constraints for transforming rough intervals to crisp nature and fully rough intervals problems. Finally, presents different operational research models that contain rough intervals coefficients.

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On Solving Three Level Fractional Programming Problem with Rough Coefficient in Constraints

Cited by 4 publications

References 11 publications

A study on the solution of interval linear fractional programming problem

A study on the solution of interval linear fractional programming problem

Stochastic Fuzzy Multi-level Multi-objective Fractional Programming Problem: A FGP Approach

A Survey on Rough Intervals Programming Formulation and Methodologies

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