# Dual meaning of verbal quantities

Kybernetika (2002)

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

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topMareš, 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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- 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)
- 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)
- 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
- Zimmermann H. J., Soft Computing in Financial Engineering, Physica–Verlag, Heidelberg 1999, 3–20 (1999) Zbl0924.90025

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