الفهرس 
A Survey on Multilevel Fractional Integer Programming ProblemsOnly 14 pages are availabe for public view
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Abstract
A fuzzy multi-level linear fractional programming problem (FMLLFP) is a hierarchical optimization problem where a subset of variables is constrained to be a solution of a given optimization problem parameterized by the remaining variables. Fuzzy bi-level linear fractional programming (FBLLFP) is a part of the fuzzy multi-level linear fractional programming problem which identified as a mathematical programming problem that solves decentralized planning problems with two decision makers (DMs) in a two- level or hierarchical organization. The features of the fuzzy multi-level programming problem, mainly its non-convexity, make it difficult one, even when all involved functions are linear. In fact, this field of problems needs more studying and working because of containing the fuzzy number makes the problem more difficult.