MULTI-OBJECTIVE FULLY FUZZIFIED LINEAR PROGAMMING

Author:

BUCKLEY JAMES J.123,FEURING THOMAS123,HAYASHI YOICHI123

Affiliation:

1. University of Alabama at Birmingham, Department of Mathematics, Birmingham, Alabama, 35294, USA

2. University of Siegen, Department of Computer Science, Hölderlinstr. 3, 57068 Siegen, Germany

3. Meiji University, Department of Computer Science, Tama-ku, Kawasaki 214-8571, Japan

Abstract

In this paper we wish to solve multi-objective fully fuzzified linear programming problems which are multi-objective linear programming problems where all the parameters and variables are fuzzy numbers. We change this problem into a single objective fuzzy linear programming problem and then show that our solution procedure can be used to explore the whole undominated set. An evolutionary algorithm is then designed to generate undominated solutions. An example is presented showing our evolutionary algorithm solution.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

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