Dual meaning of verbal quantities

Milan Mareš; Radko Mesiar

Kybernetika (2002)

  • Volume: 38, Issue: 6, page [709]-716
  • ISSN: 0023-5954

Abstract

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The aim of the paper is to summarize and interpret some ideas regarding effective processing of vague data. The main contribution of the submitted approach consists in respecting the fact that vague data can be decomposed into two parts. The numerical one, describing the quantitative value of such data, and the semantic one characterizing the qualitative structure of the vagueness included into them. This partition of vague verbal data leads to a significant simplification of their practical processing, namely if complicated computations are considered. This regards also the methods and concepts of descriptive statistics and their handling in the case in which vague data appear on the input. Particular parts of the alternative method of vague data processing which is discussed here were in a more detailed way investigated in some of the referred paper. The purpose of this paper is to give a brief explanation of the method in its complete connections with the practical processing of vagueness in quantitative environment.

How to cite

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Mareš, Milan, and Mesiar, Radko. "Dual meaning of verbal quantities." Kybernetika 38.6 (2002): [709]-716. <http://eudml.org/doc/33613>.

@article{Mareš2002,
abstract = {The aim of the paper is to summarize and interpret some ideas regarding effective processing of vague data. The main contribution of the submitted approach consists in respecting the fact that vague data can be decomposed into two parts. The numerical one, describing the quantitative value of such data, and the semantic one characterizing the qualitative structure of the vagueness included into them. This partition of vague verbal data leads to a significant simplification of their practical processing, namely if complicated computations are considered. This regards also the methods and concepts of descriptive statistics and their handling in the case in which vague data appear on the input. Particular parts of the alternative method of vague data processing which is discussed here were in a more detailed way investigated in some of the referred paper. The purpose of this paper is to give a brief explanation of the method in its complete connections with the practical processing of vagueness in quantitative environment.},
author = {Mareš, Milan, Mesiar, Radko},
journal = {Kybernetika},
keywords = {vague verbal data; fuzzy quantities; vague verbal data; fuzzy quantities},
language = {eng},
number = {6},
pages = {[709]-716},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Dual meaning of verbal quantities},
url = {http://eudml.org/doc/33613},
volume = {38},
year = {2002},
}

TY - JOUR
AU - Mareš, Milan
AU - Mesiar, Radko
TI - Dual meaning of verbal quantities
JO - Kybernetika
PY - 2002
PB - Institute of Information Theory and Automation AS CR
VL - 38
IS - 6
SP - [709]
EP - 716
AB - The aim of the paper is to summarize and interpret some ideas regarding effective processing of vague data. The main contribution of the submitted approach consists in respecting the fact that vague data can be decomposed into two parts. The numerical one, describing the quantitative value of such data, and the semantic one characterizing the qualitative structure of the vagueness included into them. This partition of vague verbal data leads to a significant simplification of their practical processing, namely if complicated computations are considered. This regards also the methods and concepts of descriptive statistics and their handling in the case in which vague data appear on the input. Particular parts of the alternative method of vague data processing which is discussed here were in a more detailed way investigated in some of the referred paper. The purpose of this paper is to give a brief explanation of the method in its complete connections with the practical processing of vagueness in quantitative environment.
LA - eng
KW - vague verbal data; fuzzy quantities; vague verbal data; fuzzy quantities
UR - http://eudml.org/doc/33613
ER -

References

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  1. Dubois D., Kerre E., Mesiar, R., Prade H., Fuzzy interval analysis, In: Fundamentals of Fuzzy Sets (D. Dubois, H. Prade, eds.), Kluwer, Dordrecht 2000, pp. 483–581 Zbl0988.26020MR1890240
  2. Kerre E. E., Mareš, M., Mesiar R., Orderings of generated fuzzy quantities, In: Proc. IPMU’98, La Sorbone, Paris 1998, Vol. I, pp. 250–254 (1998) 
  3. Mareš M., Dual meaning of verbal quantities (abstract), In: IDA’2000 – Abstracts. Vienna University of Technology, Vienna 2000, p. 47 
  4. Mareš M., Computation Over Fuzzy Quantities, CRC–Press, Boca Raton 1994 Zbl0859.94035MR1327525
  5. Mareš M., 10.1016/S0165-0114(97)00136-X, Fuzzy Sets and Systems 91 (1997), 143–154 (1997) MR1480041DOI10.1016/S0165-0114(97)00136-X
  6. Mareš M., Verbal quantitative information in economic reality, Acta Oeconomica Pragensia 5 (1997), 1, 121–134 (1997) 
  7. Mareš M., Mesiar R., Composition of shape generators, Acta Mathematica et Informatica Universitatis Ostraviensis 4 (1996), 1, 37–45 (1996) Zbl0870.04003MR1446782
  8. Mareš M., Mesiar R., Calculation over verbal variables, In: Computing With Words in Information/Intelligent Systems (J. Kacprzyk and L. A. Zadeh, eds.), Physica–Verlag, Heidelberg 1999, pp. 409–427 (1999) 
  9. Mareš M., Mesiar R., Vagueness of verbal variable, In: Soft Computing in Financial Engineering (R. Ribeiro, J. Kacprzyk, R. R. Yager, and L. A. Zadeh, eds.), Physica–Verlag, Heidelberg 1999, pp. 3–20 (1999) 
  10. Zadeh L. A., The concept of a linguistic variable and its application to approximate reasoning, Information Sci., Part I, 8, 199–249, Part II, 8, 301–357, Part III, 9, 43–80 Zbl0404.68075
  11. Zimmermann H. J., Soft Computing in Financial Engineering, Physica–Verlag, Heidelberg 1999, 3–20 (1999) Zbl0924.90025

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