Fuzzy Systems and its Applications

Fuzzy Systems and its Applications

Rough interval multiobjective linear fractional programming problems and a new method for solving them

Authors
Department of Mathematics, Faculty of Basic Science, Babol Noshirvani University of Technology, Babol, Iran
10.22034/jfsa.2025.467103.1232
Abstract
Multi-objective optimization plays an important role in modelling many problems. On the other hand, some of these problems deal with the optimization of the ratio of objectives, which are more important than the optimization of each objective alone. Since most of the real-world problems are faced with uncertainty in data and parameters, in this paper a class of multi-objective linear fractional programming problems with rough interval coefficients in the objective functions is considered. In order to deal with this group of problems, first the problem is taken out of the rough interval state, then the problem is solved using interval arithmetic and the weighted sum approach in multi-objective optimization. The obtained results are investigated in a numerical example.
Keywords
Subjects

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Volume 7, Issue 2 - Serial Number 15
Open Access Statement
December 2024
Pages 135-147

  • Receive Date 10 July 2024
  • Revise Date 25 January 2025
  • Accept Date 15 February 2025