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Duality in Fuzzy Linear Programming: Some New Concepts and Results

Duality in Fuzzy Linear Programming: Some New Concepts and Results A class of fuzzy linear programming (FLP) problems based on fuzzy relations is introduced, the concepts of feasible and Α -efficient solutions are defined. The class of crisp (classical) LP problems and interval LP problems can be embedded into the class of FLP ones. Moreover, for FLP problems a new concept of duality is introduced and the weak and strong duality theorems are derived. The previous results are applied to the special case of interval LP and compared to the existing literature. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Fuzzy Optimization and Decision Making Springer Journals

Duality in Fuzzy Linear Programming: Some New Concepts and Results

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References (15)

Publisher
Springer Journals
Copyright
Copyright © 2005 by Springer Science+Business Media, Inc.
Subject
Mathematics; Mathematical Logic and Foundations; Probability Theory and Stochastic Processes; Optimization; Calculus of Variations and Optimal Control; Optimization; Artificial Intelligence (incl. Robotics); Operation Research/Decision Theory
ISSN
1568-4539
eISSN
1573-2908
DOI
10.1007/s10700-004-5568-z
Publisher site
See Article on Publisher Site

Abstract

A class of fuzzy linear programming (FLP) problems based on fuzzy relations is introduced, the concepts of feasible and Α -efficient solutions are defined. The class of crisp (classical) LP problems and interval LP problems can be embedded into the class of FLP ones. Moreover, for FLP problems a new concept of duality is introduced and the weak and strong duality theorems are derived. The previous results are applied to the special case of interval LP and compared to the existing literature.

Journal

Fuzzy Optimization and Decision MakingSpringer Journals

Published: Dec 4, 2004

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