10.71808/fomj.2024.1190245

Solving Fuzzy LR Interval Linear Systems using Nonlinear Programming

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  • Khatere Ghorbani-Moghadam*1,
  • Reza Ghanbari2,
  • Mahnoosh Salari3,
  1. Mosaheb Institute of Mathematics‎, ‎Kharazmi University‎, ‎Tehran‎, ‎Iran
  2. Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.
  3. Department of Mathematical Sciences‎, ‎Ferdowsi University of Mashhad‎, ‎Iran

Revised: 2024-11-12

Accepted: 2025-01-03

Published in Issue 2024-04-24

How to Cite

Ghorbani-Moghadam, K., Ghanbari, R., & Salari, M. . (2024). Solving Fuzzy LR Interval Linear Systems using Nonlinear Programming. Fuzzy Optimization and Modeling Journal (FOMJ), 5(4), 33-43. https://doi.org/10.71808/fomj.2024.1190245
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Abstract

In this paper‎,‏‎ we use the least squares method to solve LR fuzzy interval systems by transforming an interval fuzzy number into two triangular fuzzy numbers. Then, ‎w‎e reduce the distance between the two obtained triangular fuzzy numbers to solve the fuzzy ‎LR‎ interval linear system. Essentially, we convert an LR fuzzy interval linear system into a triangular fuzzy linear system and subsequently solve it using the least squares method introduced ‎in [17, 18].

Keywords

  • Fuzzy linear systems,
  • LR fuzzy interval,
  • Approximate solution,
  • Quadratic programming
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