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Optimal Solutions Of Fuzzy Relation Equations
Blekinge Institute of Technology, School of Engineering.
Blekinge Institute of Technology, School of Engineering.
2010 (English)Independent thesis Advanced level (degree of Master (Two Years))Student thesisAlternative title
Optimal Solutions av Fuzzy samband ekvationer (Swedish)
Abstract [en]

Fuzzy relation equations are becoming extremely important in order to investigate the optimal solution of the inverse problem even though there is a restrictive condition for the availability of the solution of such inverse problems. We discussed the methods for finding the optimal (maximum and minimum) solution of inverse problem of fuzzy relation equation of the form $R \circ Q = T$ where for both cases R and Q are kept unknown interchangeably using different operators (e.g. alpha, sigma etc.). The aim of this study is to make an in-depth finding of best project among the host of projects, depending upon different factors (e.g. capital cost, risk management etc.) in the field of civil engineering. On the way to accomplish this aim, two linguistic variables are introduced to deal with the uncertainty factor which appears in civil engineering problems. Alpha-composition is used to compute the solution of fuzzy relation equation. Then the evaluation of the projects is orchestrated by defuzzifying the obtained results. The importance of adhering to such synopsis, in the field of civil engineering, is demonstrated by an example.

Place, publisher, year, edition, pages
2010. , 68 p.
Keyword [en]
Fuzzy Set, Fuzzy Relation, Fuzzy Relation Equation, Composition
National Category
Mathematics Mathematical Analysis Probability Theory and Statistics
URN: urn:nbn:se:bth-3158Local ID: diva2:830458
Physics, Chemistry, Mathematics
Available from: 2015-04-22 Created: 2011-04-07 Last updated: 2015-06-30Bibliographically approved

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