A linear programming approach to test efficiency in multi-objective linear fractional programming problems

Lotfı, Farhad Hosseinzadeh; Noora, Abbas Ali; Jahanshahloo, G. R.; Khodabakhshi, Mohammad; Payan, Ali

doi:10.1016/j.apm.2010.04.015

Cited by 30 publications

(13 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Lotif et al, [17] gave useful method to test the efficiency of the given feasible solution of MOLFP. They applied a geometric interpretation to test weak efficiency and for strong efficiency a linear programming approach is constructed.…”

Section: Literature Surveymentioning

confidence: 99%

Multi-objective linear fractional programming: A fuzzy efficient interactive goal programming method

Singh

2013

2013 International Conference on Fuzzy Theory and Its Applications (iFUZZY)

View full text Add to dashboard Cite

show abstract

Section: Literature Surveymentioning

confidence: 99%

Multi-objective linear fractional programming: A fuzzy efficient interactive goal programming method

Singh

2013

2013 International Conference on Fuzzy Theory and Its Applications (iFUZZY)

View full text Add to dashboard Cite

show abstract

“…Kassem [7] introduced a new class of generalized cone-pseudo convex functions and strongly cone-pseudo convex functions and established different duality theorems. A variety of duality theorems for variational problems and symmetric mathematical programming problems have appeared in the literature (Husain and Zabeen [6], Husain et al [5], Lotfi et al [10], Padhan and Nahak [11,12], Suneja and Louhan [15], Verma [16]). There are many problems in real-life situations for which the first-order dual has no solution, while the second-order dual has a solution.…”

Section: Introductionmentioning

confidence: 99%

Second-order Symmetric Duality and Variational Problems

Padhan

Behera

Mohapatra

2015

Springer Proceedings in Mathematics &Amp; Statistics

View full text Add to dashboard Cite

show abstract

“…Over the past few years, interest in the multi-objective programming has been expanded. Many pioneers like Payan and Noora (2014), Lotfi et al (2010) and Tantawy (2008) suggested different methodologies to solve multi-objective models. Jozefowiez et al (2008) did a survey study on multi-objective techniques and their applications.…”

Section: Introduction and Literature Reviewmentioning

confidence: 99%

On solving multi-objective fully quadratic fractional optimisation model with interactive FGP approach

Rani

Goyal

Gupta

2022

IJQRM

View full text Add to dashboard Cite

PurposeThe main motive behind framing this paper is to provide a compromised solution for trapezoidal fuzzy number–multi-objective fully quadratic fractional optimisation model (TrFN-MOFQFOM) by avoiding ambiguities and confusion of decision-makers (DMs). Many researchers have used Taylor's series and parametric approach to transform fractional objective function into non-fractional ones, but Taylor's series expansion is valid only up to a neighbourhood. To avoid these extra efforts, this article suggests a methodology in which numerator of objective function is optimised under the condition of optimising denominator.Design/methodology/approachThis paper suggests an efficient procedure to search for compromised solution of MOFQFOM with fuzzy coefficients using α-level set and FGP approach. Incomplete data in model is dealt with α-level set. Then after defuzzification, non-fractional models are built from fractional model to get optimal solution of every objective. Finally, the linear weighted sum of negative deviational variables is minimised to satisfy all objective functions up to maximum possible extent.FindingsOn applying suggested approach to the example given in end, the authors arrived at compromised solution having μO1(O1(x))=1 and μO2(O2(x))=0.71. The applied procedure requires less computational efforts and provides the preferred compromised solution.Originality/valueThis work has not been done previously by anyone. The idea being developed here of constructing non-fractional model by dealing numerators and denominators separately is completely new. 10; In the end, an algorithm, flowchart and numerical are also given to clarify the applicability of the suggested approach.

show abstract

A linear programming approach to test efficiency in multi-objective linear fractional programming problems

Cited by 30 publications

References 11 publications

Multi-objective linear fractional programming: A fuzzy efficient interactive goal programming method

Multi-objective linear fractional programming: A fuzzy efficient interactive goal programming method

Second-order Symmetric Duality and Variational Problems

On solving multi-objective fully quadratic fractional optimisation model with interactive FGP approach

Contact Info

Product

Resources

About