Inlämning av Examensarbete / Submission of Thesis

Uzair Ahmed; Muhammad Saqib 2010:9, pp. 68. ING/School of Engineering, 2010.

The work

Författare / Author: Uzair Ahmed, Muhammad Saqib,
Titel / Title: Optimal Solutions Of Fuzzy Relation Equations
Översatt titel / Translated title: Optimal Solutions av Fuzzy samband ekvationer
Abstrakt Abstract:

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.

Ämnesord / Subject: Mathematics\Analysis
Mathematics\Probability and Statistics
Nyckelord / Keywords: Fuzzy Set, Fuzzy Relation, Fuzzy Relation Equation, Composition

Publication info

Dokument id / Document id: houn-8fpkrv
Program:/ Programme Mathematical Modelling and Simulation
Registreringsdatum / Date of registration: 04/07/2011
Uppsatstyp / Type of thesis: Masterarbete/Master's Thesis (120 credits)


Handledare / Supervisor: Elisabeth Rakus-Andersson
Examinator / Examiner: Elisabeth Rakus-Andersson
Organisation / Organisation: Blekinge Institute of Technology
Institution / School: ING/School of Engineering

+46 455 38 50 00

Files & Access

Bifogad uppsats fil(er) / Files attached: optimal solution of fre.pdf (786 kB, öppnas i nytt fönster)