Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology

A reflection on fuzzy “complements”

Authors
Enric Trillas, Adolfo Rodríguez de Soto
Corresponding Author
Enric Trillas
Available Online June 2015.
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.116How to use a DOI?
Keywords
Negation, complement, antonym, Kernel of negation, Kernel of antonym.
Abstract

A fuzzy set can be seen as a measure of the meaning of a predicate in a given universe. Generally, a predicate covers some elements of the universe and not others. In this paper the problem of determining the properties a fuzzy set should check to cover elements not covered by a predicate represented by a fuzzy set is reviewed. Thus the problems of determining the negation and antonym of a predicate and the possibility of finding a good measure to represent them are studied, and new concepts as the kernel of an antonymy are introduced.

Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
Series
Advances in Intelligent Systems Research
Publication Date
June 2015
ISBN
978-94-62520-77-6
ISSN
1951-6851
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.116How to use a DOI?
Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Enric Trillas
AU  - Adolfo Rodríguez de Soto
PY  - 2015/06
DA  - 2015/06
TI  - A reflection on fuzzy “complements”
BT  - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 823
EP  - 827
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.116
DO  - https://doi.org/10.2991/ifsa-eusflat-15.2015.116
ID  - Trillas2015/06
ER  -