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 |

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Category: | math |

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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 |

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Date available: | 2009-09-24T19:49:59Z |

Last updated: | 2015-03-26 |

Stable URL: | http://hdl.handle.net/10338.dmlcz/135497 |

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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 |

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