On measures of fuzziness of solutions of fuzzy relation equations with generalized connectives
type: Item
instance of: scholarly article
title: On measures of fuzziness of solutions of fuzzy relation equations with generalized connectives
zbMATH Open document ID: 0593.03011
DOI: 10.1016/0022-247X(85)90121-0
author: Witold Pedrycz
author: Antonio Di Nola
author: Salvatore Sessa
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: The second author [Fuzzy Sets Syst. 10, 185-201 (1983; Zbl 0525.04004)] has shown that the fuzzy relation equations of \textit{E. Sanchez} [Inf. Control 30, 38-48 (1976; Zbl 0326.02048)] can be viewed as a limit case of a more general type of fuzzy equations defined via a particular class of fuzzy connectives of \textit{R. R. Yager} [Fuzzy Sets Syst. 4, 235-242 (1980; Zbl 0443.04008)]. For these equations, the solutions with the greatest energy measure and the smallest entropy measure of fuzziness are determined.
Mathematics Subject Classification ID: 03B52
Mathematics Subject Classification ID: 03E20
Mathematics Subject Classification ID: 94D05
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 3952723
zbMATH Keywords: fuzzy equations
zbMATH Keywords: fuzzy connectives
zbMATH Keywords: energy measure
zbMATH Keywords: entropy measure
zbMATH Keywords: fuzziness
MaRDI profile type: Publication
cites work: On identification in fuzzy systems and its applications in control problems
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cites work: Q3039347
cites work: Fuzzy relational equations with generalized connectives and their applications
cites work: Resolution of composite fuzzy relation equations
cites work: On a general class of fuzzy connectives
full work available at URL: 0022-247x(85)90121-0
OpenAlex ID: W2058553681
description: scientific article; zbMATH DE number 3952723