An interactive fuzzy satisficing method for multiobjective nonlinear programming problems with fuzzy parameters
type: Item
instance of: scholarly article
title: An interactive fuzzy satisficing method for multiobjective nonlinear programming problems with fuzzy parameters
zbMATH Open document ID: 0676.90078
DOI: 10.1016/0165-0114(89)90017-1
author: Masatoshi Sakawa
author: Hitoshi Yano
published in: Fuzzy Sets and Systems
publication date: 1989-01-01T00:00:00Z
full work available at URL: CP-86-015.pdf
review text: The paper considers the problem of multiobjective nonlinear programming (MONP) with fuzzy parameters involved in the objective and constraints functions. On the basis of the \(\alpha\)-level sets of these fuzzy paramters given by a decision maker (DM) a solution of a minmax problem is shown to be an ``M-\(\alpha\)-Pareto optimal solution'' to the MONP. An interactive fuzzy method to derive the ``satisficing'' solution of the DM from the M-\(\alpha\)-Pareto optimal set is also presented, together with an illustrative example and a short description of a computer program.
Mathematics Subject Classification ID: 90C31
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 90B50
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 4108519
zbMATH Keywords: satisficing solution
zbMATH Keywords: multiobjective nonlinear programming
zbMATH Keywords: fuzzy parameters
zbMATH Keywords: minmax problem
zbMATH Keywords: interactive fuzzy method
MaRDI profile type: Publication
OpenAlex ID: W2034406580
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description: scientific article; zbMATH DE number 4108519