Soft Computing

, Volume 22, Issue 10, pp 3261–3270 | Cite as

Some new solution concepts in generalized fuzzy multiobjective optimization problems

  • Fatemeh Fayyaz Rouhbakhsh
  • Hassan Hassanpour
  • Sohrab Effati


Some new solution concepts to a general fuzzy multiobjective nonlinear programming problem are introduced in this research, and four scalarization techniques are proposed to obtain them. Then, the relation between the set of defined optimal solutions and the set of optimal solutions of the scalarized problems are studied. Moreover, a general scalarized problem is given and shown that these four techniques can be drawn from this problem. Adequate number of numerical examples have been solved to illustrate the techniques.


Fuzzy multiobjective optimization Weakly M-Pareto optimal solution Properly M-Pareto optimal solution Strictly M-Pareto optimal solution Scalarization 


Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.

Supplementary material

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Supplementary material 1 (lg4 4 KB)
500_2017_2787_MOESM2_ESM.lg4 (6 kb)
Supplementary material 2 (lg4 5 KB)


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Copyright information

© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Faculty of Mathematical Sciences and StatisticsUniversity of BirjandBirjandIran
  2. 2.Department of Applied MathematicsFerdowsi University of MashhadMashhadIran
  3. 3.Center of Excellence of Soft Computing and Intelligent Information Processing (SCIIP)Ferdowsi University of MashhadMashhadIran

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