Illustrating the Difficulties of Zimmermann Method for Solving the Fuzzy Linear Programming by the Geometric Approach

M. R. Safi; A. Razmjoo

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Paper

Illustrating the Difficulties of Zimmermann Method for Solving the Fuzzy Linear Programming by the Geometric Approach

Topics: Mathematical Foundations: Fuzzy Set Theory and Fuzzy Logic

In Proceedings of the 4th International Joint Conference on Computational Intelligence - Volume 1: FCTA, 435-438, 2012 , Barcelona, Spain

Authors: M. R. Safi and A. Razmjoo

Affiliation: Semnan University, Iran, Islamic Republic of

Keyword(s): Fuzzy Linear Programming, Zimmermann Method, The Geometric Method.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Computational Intelligence ; Fuzzy Systems ; Mathematical Foundations: Fuzzy Set Theory and Fuzzy Logic ; Soft Computing

Abstract: In this paper we first recall Zimmermann method and the Geometric approach for solving fuzzy linear programming problem. We show, by the geometric approach, Zimmerman method has some difficulties. Numerical examples are provided for illustrating the difficulties. Finally, the IZM algorithm for improving Zimmermann method is recalled.

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Paper citation in several formats:

R. Safi, M. and Razmjoo, A. (2012). Illustrating the Difficulties of Zimmermann Method for Solving the Fuzzy Linear Programming by the Geometric Approach. In Proceedings of the 4th International Joint Conference on Computational Intelligence (IJCCI 2012) - FCTA; ISBN 978-989-8565-33-4; ISSN 2184-3236, SciTePress, pages 435-438. DOI: 10.5220/0004114604350438

@conference{fcta12,
author={M. {R. Safi}. and A. Razmjoo.},
title={Illustrating the Difficulties of Zimmermann Method for Solving the Fuzzy Linear Programming by the Geometric Approach},
booktitle={Proceedings of the 4th International Joint Conference on Computational Intelligence (IJCCI 2012) - FCTA},
year={2012},
pages={435-438},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004114604350438},
isbn={978-989-8565-33-4},
issn={2184-3236},
}

TY - CONF

JO - Proceedings of the 4th International Joint Conference on Computational Intelligence (IJCCI 2012) - FCTA
TI - Illustrating the Difficulties of Zimmermann Method for Solving the Fuzzy Linear Programming by the Geometric Approach
SN - 978-989-8565-33-4
IS - 2184-3236
AU - R. Safi, M.
AU - Razmjoo, A.
PY - 2012
SP - 435
EP - 438
DO - 10.5220/0004114604350438
PB - SciTePress