Solving Fuzzy LR Interval Linear Systems using Nonlinear Programming

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, ‎ w ‎ e 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 ].

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Publication Details

Journal
Fuzzy Optimization and Decision Making
Published
2024-11-12
DOI
https://doi.org/10.71808/fomj.2024.1190245
Primary Topic
Military Technology and Strategies
Type
article
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Solving Fuzzy LR Interval Linear Systems using Nonlinear Programming

Fuzzy Optimization and Decision Making
Military Technology and Strategies
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Solving Fuzzy LR Interval Linear Systems using Nonlinear Programming

article en

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, ‎ w ‎ e 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 ].

Fuzzy Optimization and Decision Making
Kharazmi University (IR), Ferdowsi University of Mashhad (IR)
Openalex Percentile: Top 29%
Military Technology and Strategies
DOIOpen Access PDFOpenAlex
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Solving Fuzzy LR Interval Linear Systems using Nonlinear Programming · Fuzzy Optimization and Decision Making (2024) | TGRS Research Map | TGRS