A PRIMER ON FUZZY OPTIMIZATION MODELS AND METHODS
Authors
Abstract:
Fuzzy Linear Programming models and methods has been one ofthe most and well studied topics inside the broad area of Soft Computing. Itsapplications as well as practical realizations can be found in all the real worldareas. In this paper a basic introduction to the main models and methods infuzzy mathematical programming, with special emphasis on those developedby the authors, is presented. As a whole, Linear Programming problems withfuzzy costs, fuzzy constraints and fuzzy coefficients in the technological matrixare analyzed. Finally, future research and development lines are also pointedout by focusing on fuzzy sets based heuristic algorithms.
similar resources
a primer on fuzzy optimization models and methods
fuzzy linear programming models and methods has been one ofthe most and well studied topics inside the broad area of soft computing. itsapplications as well as practical realizations can be found in all the real worldareas. in this paper a basic introduction to the main models and methods infuzzy mathematical programming, with special emphasis on those developedby the authors, is presented. as ...
full textA primer on kernel methods
Kernel methods in general, and support vector machines (SVMs) in particular, are increasingly used to solve various problems in computational biology. They offer versatile tools to process, analyze, and compare many types of data, and offer stateof-the-art performance in many cases. This self-contained introduction to positive definite kernels and kernel methods aims at providing the very basic...
full textFuzzy Reliability Optimization Models for Redundant Systems
In this paper, a special class of redundancy optimization problem with fuzzy random variables is presented. In this model, fuzzy random lifetimes are considered as basic parameters and the Er-expected of system lifetime is used as a major type of system performance. Then a redundancy optimization problem is formulated as a binary integer programming model. Furthermore, illustrative numerical ex...
full textA short primer on fuzzy regression
Traditional statistical tools for performing regression cannot handle the large uncertainties present in a fuzzy number dataset. Therefore we will have to rely on techniques developed for interval analysis (Moore 1966; Moore 1979). A useful property of algorithms that handle fuzzy numbers is that they can be rewritten in terms of intervals allowing the powerful mathematical tools of interval an...
full textA Primer on Monotone Operator Methods Survey
This tutorial paper presents the basic notation and results of monotone operators and operator splitting methods, with a focus on convex optimization. A very wide variety of algorithms, ranging from classical to recently developed, can be derived in a uniform way. The approach is to pose the original problem to be solved as one of finding a zero of an appropriate monotone operator; this problem...
full textUnderstanding of Fuzzy Optimization: Theories and Methods
A brief summary on and comprehensive understanding of fuzzy optimization is presented. This summary is made on aspects of fuzzy modelling and fuzzy optimization, classification and formulation for the fuzzy optimization problems, models and methods. The importance of interpretation of the problem and formulation of the optimal solution in fuzzy sense are emphasized in the summary of the fuzzy o...
full textMy Resources
Journal title
volume 3 issue 1
pages 1- 21
publication date 2006-04-10
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023