A New Approach to Fuzzy Arithmetic

Popov, Antony. "A New Approach to Fuzzy Arithmetic." Serdica Journal of Computing 4.1 (2010): 113-122. <http://eudml.org/doc/11380>.

@article{Popov2010,
abstract = {This work shows an application of a generalized approach for constructing dilation-erosion adjunctions on fuzzy sets. More precisely, operations on fuzzy quantities and fuzzy numbers are considered. By the generalized approach an analogy with the well known interval computations could be drawn and thus we can define outer and inner operations on fuzzy objects. These operations are found to be useful in the control of bioprocesses, ecology and other domains where data uncertainties exist.* This work is partly supported by the Ministry of Education, Youth and Science under contract DO 02-359/2008 "Computer Simulation and Innovative Model-Based Study of Bio-processes".},
author = {Popov, Antony},
journal = {Serdica Journal of Computing},
keywords = {Complete Lattice; Morphological Operations; Fuzzy Quantities; Interval Arithmetic Operations; complete lattice; morphological operations; fuzzy quantities; interval arithmetic operations},
language = {eng},
number = {1},
pages = {113-122},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {A New Approach to Fuzzy Arithmetic},
url = {http://eudml.org/doc/11380},
volume = {4},
year = {2010},
}

TY - JOUR
AU - Popov, Antony
TI - A New Approach to Fuzzy Arithmetic
JO - Serdica Journal of Computing
PY - 2010
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 4
IS - 1
SP - 113
EP - 122
AB - This work shows an application of a generalized approach for constructing dilation-erosion adjunctions on fuzzy sets. More precisely, operations on fuzzy quantities and fuzzy numbers are considered. By the generalized approach an analogy with the well known interval computations could be drawn and thus we can define outer and inner operations on fuzzy objects. These operations are found to be useful in the control of bioprocesses, ecology and other domains where data uncertainties exist.* This work is partly supported by the Ministry of Education, Youth and Science under contract DO 02-359/2008 "Computer Simulation and Innovative Model-Based Study of Bio-processes".
LA - eng
KW - Complete Lattice; Morphological Operations; Fuzzy Quantities; Interval Arithmetic Operations; complete lattice; morphological operations; fuzzy quantities; interval arithmetic operations
UR - http://eudml.org/doc/11380
ER -