Abstract
Membership functions and their assessment present a problem of paramount importance. Its neglect would further delay any real applications of the fuzzy set theory. Membership functions are not ‘given’ and they can not be arbitrarily assumed. A systematic assessment procedure, designed to externalize decision maker’s perception of fuzziness is introduced and some analogies with utility functions are discussed. Membership functions are treated as a class of distance functions ordering a set of objects with respect to an ideal object.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
L. A. Zadeh, “Outline of a new approach to the analysis of complex systems and decision processes”, in J. L. Cochrane and M. Zeleny (eds.), Multiple Criteria Decision Making, 686-725 (USC Press, Columbia, S.C., 1973).
M. Zeleny, “The theory of the displaced ideal”, in M. Zeleny (ed.), Multiple Criteria Decision Making: Kyoto 1975, 153-206 (Springer-Verlag, New York, 1974).
C. V. Negoita, “Editorial-introduction”, Kybernetes 6, 145–146 (1977).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1978 The World Organisation of General Systems and Cybernetics
About this chapter
Cite this chapter
Zeleny, M. (1978). Membership Functions and Their Assessment. In: Rose, J. (eds) Current Topics in Cybernetics and Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93104-8_245
Download citation
DOI: https://doi.org/10.1007/978-3-642-93104-8_245
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-93106-2
Online ISBN: 978-3-642-93104-8
eBook Packages: Springer Book Archive