期刊
FUZZY SETS AND SYSTEMS
卷 157, 期 10, 页码 1283-1302出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2005.11.022
关键词
fuzzy relations; fuzzy linear programming; duality
A class of fuzzy linear programming (FLP) problems with fuzzy coefficients based on fuzzy relations is introduced, the concepts of feasible and (alpha, beta)-maximal and minimal solutions are defined. The class of crisp (classical) 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 introduced concepts and results are illustrated and discussed on a simple numerical example. (C) 2005 Elsevier B.V. All rights reserved.
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