Fuzzy programming approach to multi-level programming problems

Multi-level programming is characterized as mathematical programming to solve decentralized planning problems. We have considered a multi-level linear programming problem and applied fuzzy mathematical programming (FMP) approach to obtain the solution of the system. We have suggested FMP method for...

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Bibliographic Details
Published in:Fuzzy sets and systems Vol. 136; no. 2; pp. 189 - 202
Main Author: Sinha, Surabhi
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 01.06.2003
Elsevier
Subjects:
Applied sciences
Decision theory. Utility theory
Exact sciences and technology
Fuzzy programming
General logic
Linear/nonlinear membership function
Logic and foundations
Mathematical logic, foundations, set theory
Mathematical programming
Mathematics
Multi-level (decentralized) programming problem
Operational research and scientific management
Operational research. Management science
Satisfactory solution
Sciences and techniques of general use
Tolerance values
Linear/nonlinear membership function
Fuzzy programming
Tolerance values
Satisfactory solution
Multi-level (decentralized) programming problem
Membership function
Tolerance value
Decision making
Tolerance
Fuzzy mathematical programming
Mathematical programming
Multilevel programming problem
ISSN:0165-0114, 1872-6801
Online Access:Get full text
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Summary:Multi-level programming is characterized as mathematical programming to solve decentralized planning problems. We have considered a multi-level linear programming problem and applied fuzzy mathematical programming (FMP) approach to obtain the solution of the system. We have suggested FMP method for the minimization of the objectives using linear membership functions. FMP is a supervised search procedure (supervised by the higher level decision maker (DM)). The higher level DM provides the preferred values of decision variables under his control (to enable the lower level DM to search for his optimum in a wider feasible space) and the bounds of his objective function (to direct the lower level DM to search for his solutions in the right direction).
ISSN:0165-0114
1872-6801
DOI:10.1016/S0165-0114(02)00362-7