On Fuzzy Bi-Level Multi-Objective Large Scale Integer Quadratic Programming Problem
Author(s) -
Theophilus Ehidiamen Oamen,
E. Fathy,
A. A.
Publication year - 2017
Publication title -
international journal of computer applications
Language(s) - English
Resource type - Journals
ISSN - 0975-8887
DOI - 10.5120/ijca2017912878
Subject(s) - computer science , integer programming , fuzzy logic , integer (computer science) , quadratic equation , scale (ratio) , quadratic programming , mathematical optimization , operations research , artificial intelligence , algorithm , programming language , mathematics , cartography , geometry , geography
The motivation behind this paper is to focus on the solution of a Bi-Level Multi-Objective Large Scale Integer Quadratic Programming (BLMOLSIQP) problem in which all decision parameters in the objective functions are symmetric trapezoidal fuzzy numbers, and has block angular structure of the constraints. The suggested algorithm based on a linear ranking function, weight method, Taylor’s series, decomposition algorithm and branch and bound method is to find a compromised solution for the problem under consideration. In addition, the theoretical results are illustrated with the help of a numerical example.
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