Open AccessExtended Fully Fuzzy Linear Regression to Analyze a Solid Cantilever Beam Moment
Author(s) -
Seyedehnegar Seyedmonir,
Mostafa Bayrami,
Saeid Jafarzadeh Ghoushchi,
Amir Alipour Yengejeh,
Hakimeh Morabbi Heravi
Publication year - 2021
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2021/2684816
Subject(s) - cantilever , fuzzy logic , mathematics , moment (physics) , regression , linear regression , regression analysis , mathematical optimization , design matrix , matrix (chemical analysis) , beam (structure) , momentum (technical analysis) , computer science , statistics , physics , engineering , artificial intelligence , structural engineering , classical mechanics , materials science , composite material , finance , economics
There are several procedures such as possibilistic and least-square methods to estimate regression models. In this study, first, a fully fuzzy regression equation is converted into a fully fuzzy linear framework. By considering a least-square approach, a model is suggested based on matrix equations for solving fully fuzzy regression models. The main advantage of this method over existing ones is that this method considered values based on their specification, and all linear problems can be easily solved. Moreover, a case study for solid mechanics about the quantity of beam momentum is considered. In this example, the inner data are force values, and the output is momentum values.
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