Producing Fuzzy Inclusion and Entropy Measures

Athanasios C. Bogiatzis () and Basil K. Papadopoulos ()
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Athanasios C. Bogiatzis: Democritus University of Thrace, Department of Civil Engineering, Section of Mathematics and Informatics
Basil K. Papadopoulos: Democritus University of Thrace, Department of Civil Engineering, Section of Mathematics and Informatics

A chapter in Computation, Cryptography, and Network Security, 2015, pp 51-74 from Springer

Abstract: Abstract Inclusion and entropy measurements are significant for a variety of applications in fuzzy logic area. Several authors and researchers have tried to axiomatize fuzzy inclusion and entropy indicators. Others have introduced such measures based on specific desired properties. Significant results have been obtained; results that have led to a number of alternative solutions concerning several different applications. Apart from these interesting and innovative ideas, open matters of further discussion and research have occurred in these studies as well. Following the work of these authors, we propose an alternative axiomatization of fuzzy inclusion based on an already existing one. This allows us to introduce a category of subsethood and entropy measures which contains well-known indicators as well as new ones.

Keywords: Inclusion grade; Fuzzy entropy; Fuzzy implications; Fuzzy subsethood (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-18275-9_3

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DOI: 10.1007/978-3-319-18275-9_3

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