Penalty method for fuzzy linear programming with trapezoidal numbers-Reference-Cited by-同舟云学术

Penalty method for fuzzy linear programming with trapezoidal numbers

Published:2009 Issue:1 Volume:19 Page:149-156
ISSN:0354-0243
Container-title:Yugoslav Journal of Operations Research
language:en
Short-container-title:YUGOSLAV J OPERATION

Author:

Stanojevic Bogdana¹,Stanojevic Milan²

Affiliation:

1. Transilvania University of Brasov, Brasov, Romania

2. Faculty of Organizational Sciences, Belgrade

Abstract

In this paper we shall propose an algorithm for solving fuzzy linear programming problems with trapezoidal numbers using a penalty method. We will transform the problem of maximizing a function having trapezoidal fuzzy number values under some constraints into a deterministic multi-objective programming problem by penalizing the objective function for possible constraint violation. Furthermore, the obtained deterministic problem will have only unavoidable inequalities between trapezoidal fuzzy numbers parameters as constraints.

Publisher

National Library of Serbia

Subject

Management Science and Operations Research

Reference6 articles.

1. Evolutionary algorithm solution to fuzzy problems: Fuzzy linear programming

2. Possibilistic linear programming: a brief review of fuzzy mathematical programming and a comparison with stochastic programming in portfolio selection problem

3. Fuzzy linear programming using a penalty method

4. A method of solving fully fuzzified linear fractional programming problems

5. The Advantages of Fuzzy Optimization Models in Practical Use

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