An Approximation Approach for Representing S-Shaped Membership Functions

In general, to formulate a fuzzy-linear-programming problem with n S-shaped utility (membership) functions, traditional methods require n or more extra binary variables because S-shaped curves are neither convex nor concave in all places. Adding binary variables does not improve the bound of the lin...

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Bibliographic Details
Published in:	IEEE transactions on fuzzy systems Vol. 18; no. 2; pp. 412 - 424
Main Author:	Chang, Ching-Ter
Format:	Journal Article
Language:	English
Published:	New York IEEE 01.04.2010 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Approximation Binary variable Computation Computational efficiency Delta modulation Functional programming Fuzzy sets fuzzy-goal programming (FGP) fuzzy-linear programming (FLP) Linear programming Management Mathematical analysis Mathematical models membership function (MF) Natural languages Packaging Piecewise linear approximation Piecewise linear techniques piecewise-linear function (PLF) Programming Utilities Utility programs
ISSN:	1063-6706, 1941-0034
Online Access:	Get full text
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