Some optimization and reliability problems in fuzzy envrionment.

number: 
975
English
Degree: 
Imprint: 
Mathematics and Computer Applications
Author: 
Ali Fareed Jamil Al-Jassar
Supervisor: 
Dr.Radhi Ali Zboon
Dr.Fadhel Ajab Nahar
year: 
2004
Abstract:

It is feasible to solve a typical ill-structured reliability problem with a vague reliability objective as well as flexible or technological constraints by formulating the nonlinear programming problem in fuzzy set theoretic perspective .However, the fuzzy nonlinear programming problem is not just an alternative or even a superior way of analyzing a given problem, it useful in solving problem in which difficult or impossible to use due to the inherent qualitative imprecise or subjective nature of the problem formulation or to have an accurate solution or to increase system reliability as close to one. The mathematical optimization problem in fuzzy environment even though still young, but its applications have been applied to quite number of real life problems In this work, some nonlinear programming problems in fuzzy environments have been discussed and developed. The penalty function method mixed with Nelder and Mend's method of direct optimization problems have been use together to solve nonlinear smooth or nonsmooth or even mixed-integer programming problem. Some reliability problems in fuzzy environment have been developed and their result have also discussed. The numerical solutions of crisp optimization and reliability problems have been compared and the fuzzy solution and its effectiveness have also been presented and discussed.