Trapezoidal approximations of fuzzy numbers with restrictions on the support and core

DOI

10.2991/eusflat.2011.117How to use a DOI?

Keywords

fuzzy number, expected interval, support, core, trapezoidal approximation, trapezoidal fuzzy number.

Abstract

Fuzzy number approximation by trapezoidal fuzzy numbers which preserves the expected interval is discussed. New operators that fulfill additional requirements for the core and support of the fuzzy number are suggested. These supplementary conditions guarantee the proper interpretation of the solution even for very skew original fuzzy numbers.

Copyright

© 2011, 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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TY  - CONF
AU  - Przemyslaw Grzegorzewski
AU  - Karolina Pasternak-Winiarska
PY  - 2011/08
DA  - 2011/08
TI  - Trapezoidal approximations of fuzzy numbers with restrictions on the support and core
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 749
EP  - 756
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.117
DO  - 10.2991/eusflat.2011.117
ID  - Grzegorzewski2011/08
ER  -