@inproceedings{dd3bf70436fb4fadbc973d9b865f234b,
title = "Conservation of relative fuzziness: Retrospective and triangular extension",
abstract = "Fuzzy rule interpolation is one of the tools for reducing computational complexity of fuzzy systems, and can be used when there are gaps in the knowledge base. These gaps can be natural, due to cost, or due to rule base reduction. The fuzzy interpolation methods are all descendent techniques of K{\'o}czy and Hirota's linear interpolation. In this paper we provide a retrospective on the development of these techniques, and then focus on an early technique of conservation of fuzziness which has advantages in interpolation in hierarchical fuzzy systems as only near flank information is meant to be used and this allows the interpolation between different levels in the fuzzy rule base hierarchy. We point out an error and rectify it using a triangular extension which restores the intuitive, philosophical and practical nature of the approach.",
keywords = "fuzzy interpolation, fuzzy signatures, fuzzy systems, hierarchical systems",
author = "Gedeon, {Tamas D.}",
note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2015 ; Conference date: 02-08-2015 Through 05-08-2015",
year = "2015",
month = nov,
day = "25",
doi = "10.1109/FUZZ-IEEE.2015.7338025",
language = "English",
series = "IEEE International Conference on Fuzzy Systems",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
editor = "Adnan Yazici and Pal, {Nikhil R.} and Hisao Ishibuchi and Bulent Tutmez and Chin-Teng Lin and Sousa, {Joao M. C.} and Uzay Kaymak and Trevor Martin",
booktitle = "FUZZ-IEEE 2015 - IEEE International Conference on Fuzzy Systems",
address = "United States",
}