Abstract
Defining linguistic fuzzy evaluations of various quantities e.g. very small, average, approximately 5, a little more than 10, we usually assume that membership functions qualifying for these evaluations are of possibilistic character. The paper presents a comparison of a measurement realization by a technical instrument and of evaluation by man (uncertainty of the measurement realized by technical instrument is mainly of probabilistic character) to determine their common features. Next, the question is analyzed: what is the character of human evaluations. It is of great importance for the way in which operations of fuzzy arithmetic have to be realized and for Computing with Words.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Klir, G.L.: Fuzzy arithmetic with requisite constraints. Fuzzy Sets and Systems 91, 165–175 (1997)
Piegat, A.: Informative value of the possibilistic extension principle. In: Proceedings of 10th International Conference Advanced Computer Systems ACS 2003, Mie¸dzyzdroje, Poland (2003)
Sowiński, A.: Digital measurement technics. Publishing House of Communication, Warsaw (1975) (In Polish)
Sydenham, P.H. (ed.): Handbook of measurement science. Theoretical fundamentals. A Wiley-Interscience Publication, Hoboken (1982)
Zadeh, L.A.: Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems 1 3, 165–175 (1978)
Zadeh, L.A.: From computing with numbers to computing with words – From manipulation of measurements to manipulation of perceptions. Applied mathematics and computer science 12(3), 307–324 (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Piegat, A. (2004). Are Linguistic Evaluations Used by People of Possibilistic or Probabilistic Nature?. In: Rutkowski, L., Siekmann, J.H., Tadeusiewicz, R., Zadeh, L.A. (eds) Artificial Intelligence and Soft Computing - ICAISC 2004. ICAISC 2004. Lecture Notes in Computer Science(), vol 3070. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24844-6_51
Download citation
DOI: https://doi.org/10.1007/978-3-540-24844-6_51
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22123-4
Online ISBN: 978-3-540-24844-6
eBook Packages: Springer Book Archive