Solving possibilistic linear programming problems
type: Item
instance of: scholarly article
title: Solving possibilistic linear programming problems
zbMATH Open document ID: 0671.90049
DOI: 10.1016/0165-0114(89)90204-2
published in: Fuzzy Sets and Systems
publication date: 1989-01-01T00:00:00Z
review text: In a possibilistic linear program (LP) there are uncertain coefficients determined by possibilistic distributions in contrast to probabilistic distributions for stochastic LP. In this paper a solution procedure for possibilistic LP with inequality constraints is presented. A standard form of a possibilistic LP is defined, then the solution involves specifying the possibility distribution for the objective function and then determining a compromise solution for the decision variables. Two different definitions of possibility distribution for the objective function are considered. It is shown that for certain programs they supply the same results. Non- standard problems are also discussed by presenting and solving on example of a non-standard problem. General suggestions on how to solve any non- standard problem are given.
Mathematics Subject Classification ID: 90C05
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 4099032
zbMATH Keywords: fuzzy linear programming
zbMATH Keywords: fuzzy numbers
zbMATH Keywords: possibilistic linear program
zbMATH Keywords: inequality constraints
zbMATH Keywords: compromise solution
author: James J. Buckley
reviewed by: Jaroslav Ramík
MaRDI profile type: Publication
full work available at URL: 0165-0114(89)90204-2
OpenAlex ID: W40954527
cites work: Possibilistic linear programming with triangular fuzzy numbers
cites work: The concept of a linguistic variable and its application to approximate reasoning. I
cites work: Fuzzy sets as a basis for a theory of possibility
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description: scientific article; zbMATH DE number 4099032