Previous |  Up |  Next


Title: Dual meaning of verbal quantities (English)
Author: Mareš, Milan
Author: Mesiar, Radko
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 38
Issue: 6
Year: 2002
Pages: [709]-716
Summary lang: English
Category: math
Summary: 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. (English)
Keyword: vague verbal data
Keyword: fuzzy quantities
MSC: 03E72
MSC: 68T37
idZBL: Zbl 1265.68275
idMR: MR1954392
Date available: 2009-09-24T19:49:59Z
Last updated: 2015-03-26
Stable URL:
Reference: [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 Zbl 0988.26020, MR 1890240
Reference: [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
Reference: [3] Mareš M.: Dual meaning of verbal quantities (abstract).In: IDA’2000 – Abstracts. Vienna University of Technology, Vienna 2000, p. 47
Reference: [4] Mareš M.: Computation Over Fuzzy Quantities.CRC–Press, Boca Raton 1994 Zbl 0859.94035, MR 1327525
Reference: [5] Mareš M.: Weak arithmetics of fuzzy numbers.Fuzzy Sets and Systems 91 (1997), 143–154 MR 1480041, 10.1016/S0165-0114(97)00136-X
Reference: [6] Mareš M.: Verbal quantitative information in economic reality.Acta Oeconomica Pragensia 5 (1997), 1, 121–134
Reference: [7] Mareš M., Mesiar R.: Composition of shape generators.Acta Mathematica et Informatica Universitatis Ostraviensis 4 (1996), 1, 37–45 Zbl 0870.04003, MR 1446782
Reference: [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
Reference: [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
Reference: [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 Zbl 0404.68075
Reference: [11] Zimmermann H. J.: Soft Computing in Financial Engineering.Physica–Verlag, Heidelberg 1999, 3–20 Zbl 0924.90025


Files Size Format View
Kybernetika_38-2002-6_3.pdf 994.6Kb application/pdf View/Open
Back to standard record
Partner of
EuDML logo