applying fuzzy logic and neural network to rheumatism treatment in oriental medicine
TRANSCRIPT
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Thang, C. et al.
Paper:
Applying Fuzzy Logic and Neural Network to RheumatismTreatment in Oriental Medicine
Cao Thang , Eric W. Cooper , Yukinobu Hoshino , and Katsuari Kamei
Graduate School of Science and Engineering, Ritsumeikan University
1-1-1 Noji-Higashi, Kusatsu, Shiga 525-8577, Japan
E-mail: [email protected] College of Information Science and Engineering, Ritsumeikan University
1-1-1 Noji-Higashi, Kusatsu, Shiga 525-8577, Japan
E-mail: [email protected], [email protected] Dept. of Electronic and Photonic System Engineering, Kochi University of Technology
185 Miyanoguchi, Tosayamada, Kami, Kochi 782-8502, Japan
E-mail: [email protected]
[Received October 31, 2005; accepted March 31, 2006]
In this paper, we present an application of soft
computing into a decision support system RETS:Rheumatic Evaluation and Treatment System in Ori-
ental Medicine (OM). Inputs of the system are severi-
ties of observed symptoms on patients and outputs are
a diagnosis of rheumatic states, its explanations and
herbal prescriptions. First, an outline of the proposed
decision support system is described after considering
rheumatic diagnoses and prescriptions by OM doc-
tors. Next, diagnosis by fuzzy inference and prescrip-
tion by neural networks are described. By fuzzy infer-
ence, RETS diagnoses the most appropriate rheumatic
state in which the patient appears to be infected, then
it gives a prescription written in suitable herbs withreasonable amounts based on neural networks. Train-
ing data for the neural networks is collected from ex-
perienced OM physicians and OM text books. Finally,
we describe evaluations and restrictions of RETS.
Keywords: neural network, fuzzy inference, oriental
medicine
1. Introduction
Rheumatism is an arthritis disease widespread in all
Vietnamese population groups, unfortunately influencing
socioeconomic aspects of Vietnam. Among all soft tis-
sue diseases, rheumatism accounts for 15% and the most
common rheumatic type, joint degeneration, accounts for
10% [1]. In Vietnam, therapeutic treatments for rheuma-
tism are physical methods, anti-inflammatories and orien-
tal medicine (OM). Among these, OM is an indispens-
able part because it has fewer side-effects than west-
ern medicine and gives good treatment results. Besides,
herbal prescriptions are easy to find and relatively cheap
in comparison with western drugs. The number of Viet-
namese patients treated by OM is about 50%.
Accurate diagnoses have an important role in treating
diseases. Building a successful decision support systemsuch as RETS based on knowledge from experienced OM
physicians will help moderate evaluations in rheumatic di-
agnoses, which tend to be subjective. It will indirectly
help physicians to provide the right treatment to the right
patients, improving the quality of the health care services
as a whole. It also will help qualified and experienced
physicians in OM to maintain and share their profound
knowledge with colleagues and to assist medical students
or young physicians, especially those living and working
in rural areas.
In the last 50 years, the advent of the computer has
greatly stimulated developments of Artificial Intelligence(AI), especially Expert System (ES) and Decision Sup-
port System (DSS) which perform the roles of a specialist
or assist people in carrying out works requiring specific
expertise. Since the beginning of AI, ES and DSS have
been successfully applied to Western Medicine (WM),
and then to OM with reasoning techniques including Un-
certainty Reasoning [5, 6], Fuzzy Logic [24, 7, 8], Case-
based Reasoning [9, 10] and Neural Network [13, 14].
Most of the ES and DSS in OM focused on problems of
disease diagnoses and analyses with the specific charac-
teristics of OM such as four inspection steps, the six inter-
nal organs and the viscera, Yin and Yang [2, 7, 8]. A few
recent researches are concerned with integrating WM and
OM [11], and modifying treatment herbal prescription in
OM [12] using Fuzzy Logic.
This research presents an application of Fuzzy Logic
and Neural Network (NN) into RETS: Rheumatic Evalu-
ation and Treatment System in OM. In diagnosing stage
of RETS, based on severities of observed symptoms on
patients and importance degrees of clinical symptoms in
each rheumatic state, fuzzy inference is used to decide
which rheumatic states the patient has. Then in the pre-
scribing stage, the fuzzy severities will be put into a cor-
responding NN to get an appropriate herbal prescription.
The importance degrees of clinical symptoms are evalu-
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Applying Fuzzy Logic and NN to Rheumatism Treatment in OM
Fig. 1. Diagram of diagnosing and prescribing rheumatism
by OM doctors.
ated by rheumatism treatment experts. Training data for
the NN is typical treatment prescriptions collected from
experienced doctors and OM text books.
2. Outline of RETS
According to OM, each disease has specified states and
each disease-state is cured by standard herbal prescrip-
tions. Such a prescription is easily found in medical text
books or OM reference books. With a patient, standard
prescriptions become much more efficient and effective if
physicians add more suitably additional herbs to it and
then adjust all of its herbal amounts. The herbal ad-
justments are often based on the severities of observedsymptoms on the patient, and their effects mainly depend
on physicians treatment experience. Only experienced
physicians can give patients suitable prescriptions with
reasonable adjustments.
In OM, rheumatism primarily consists of 12 disease
states and 32 typical clinical symptoms. The number of
rheumatic treatment herbs is 63 [15]. Based on the severi-
ties of observed symptoms, doctors diagnose and classify
rheumatic states, then give a corresponding herbal pre-
scription with reasonable amounts in grams. Fig. 1 shows
the process of diagnosing and prescribing rheumatism by
OM doctors. Such a process can be suitably assisted by a
DSS or an ES as shown in Fig. 2 [17].Roles of the functional parts in Fig. 2 are as follows:
Knowledge Acquisition: Surveys symptoms, prescrib-
ing rules, explanations and sample prescriptions.
Knowledge Base: Consists of symptoms, disease
states, inference rules, training data and explanations.
Fuzzy Inference: Checks rules, calculates weights and
advises the most serious rheumatic state.
Neural Networks: Gives prescriptions with reasonable
herbal adjustments.
Interface: Obtains symptoms and their severities from
users and shows inferential results.
Explanation: Helps users to understand OM, rheuma-tism, and explains the results.
Fig. 2. DSS for diagnosing and treating rheumatism in OM.
3. Diagnosing by Fuzzy Inference
In OM, physicians usually give herbal prescriptions
based on the severities of clinical symptoms such as high
fever, slightly numb joints, moderately yellow urine etc.
These ambiguous expressions of symptoms make it un-
suitable for traditional quantitative approaches to build a
DSS for OM. Fuzzy sets, known for their abilities to deal
with vague variables using membership functions rather
than with crisp values, have proven to be one of the most
powerful approaches to resolve this problem. They also
enable developers to use linguistic variables and build
friendly user interfaces. OM physicians usually explaindiagnosing procedures with such expressions as this pa-
tient has these typical symptoms with these severities, so
I prescribe these herbs with these amounts. These ex-
pressions can be represented quite naturally in IF-THEN
fuzzy rules. In addition, fuzzy rules can give expert-like
explanations, making it easier for doctors to understand
the DSS.
So far, based on fuzzy logic many practical applications
in both WM and OM have been built [2, 7, 8], including
rheumatic disease [3, 4].
In RETS, from severities of observed symptoms on the
patient and importance values of the symptoms, fuzzy in-
ference is used to determine which rheumatic states the
patient has
3.1. Symptom and Rule Expression
Suppose that rheumatism has m clinical symptoms, l
rheumatic states. A rheumatic state is determined by n
clinical symptoms.
Let SO
SO1 SOm be a set of observed symptoms
on a patient where SOi is a fuzzy proposition representing
a symptom.
Let H
H1 Hl be a set of the rheumatic states.
Let SR
j S
Rj1
S
Rjn
be a set of symptoms inpremise of rule Rj j 1 l where Rj is generally
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Thang, C. et al.
Fig. 3. Diagram of inference procedure.
described in the following form:
IF SRj1 and S
Rj2 and and S
Rjn
THEN the rheumatic state is Hj . . . . . (1)
Let the two following fuzzy values in SOi
and SRj
ibe
defined:
SOi
0
1
: truth value ofSOi given by doctors when
diagnosing. SOi
1 means SOi clearly appears on the
patient, SOi
0 means SOi does not appear on the
patient, and 0 SOi 1 means SOi appears on the
patient with severity SOi
.
S
Rji
0
1
: importance value of SRji for rheumatic
state Hj given by skilled doctors via survey in ad-vance, where
n
i 1
S
Rji
1 . . . . . . . . . . . . (2)
S
Rji
0 means SRji totally does not affect Hj, S
Rji
1
means SRji is the only symptom affecting Hj, and 0
S
Rj
i
1 means SRji affects Hj with fuzzy importance
S
Rji
.
3.2. Fuzzy Inference Process
If an observed symptom SOi is found in the premise of
rule Rj, premise weight wjSi
ofSOi in Rj is calculated as:
wjSi
SOi
S
Rji
. . . . . . . . . . . . (3)
where
is a t-norm operator, x
y
x
y
in RETS.
If symptoms SRj
ofRj match with observed symptomsSO, weight wRj ofRj is calculated as:
wRj Si S
Rj SO
wjSi
. . . . . . . . . . (4)
where is a t-conorm operator, this t-conorm should be
compatible with (2), x y x y in RETS.
Then RETS finds the most serious state H having the
largest wRj value among l rheumatic states
H
hm wRm maxj
wRj . . . . . . . (5)
Figure 3 shows the diagram of the inference procedure
in RETS. When the inputs, severities of observed symp-toms, are matched with one or more rheumatic states, the
system finds the most appropriate rheumatic state H cor-
responding with these inputs. If the inputs are not enough
to match with any rheumatic state, RETS gives advice
about the closest rheumatic state. In this case, the patient
may have diseases other than rheumatism.
4. Prescribing by Neural Networks
NN is an effective technique to help doctors to analyze,
model and make sense of complex clinical data across abroad range of medical applications [13]. It enables in-
telligent systems to learn from experience, examples and
clinical records, improving performance of the systems
over time. Based on knowledge accumulated from expe-
rienced doctors and hospital information systems, NN can
wisely give doctors good decisions, helping to moderate
subjective evaluation in diagnosing and prescribing dis-
eases.
So far many useful NN applications have been devel-
oped [13, 14]. In RETS, trained by rheumatic treatment
knowledge collected from skilled OM doctors, NN is used
to give herbal prescriptions with reasonable amounts.
An important point in preprocessing training data is toselect the right sets of input and output features. Raw
data are prescription rules and herbal treatment prescrip-
tions with typical observed severities gathered from ex-
perienced doctors. Features should be reasonably chosen
so that from trained NNs we can get appropriate prescrip-
tions in accordance with observed symptoms and diag-
nosed rheumatic states.
For the inputs, there are two types of symptoms. The
first type is associated with Boolean values: Yes (true,
coded by 1) and No (false, coded by 0). Observed severi-
ties in the second type are associated with 5 linguistic val-
ues in company with fuzzy intervals: no (0.00), slightly(0.25), moderately (0.50), relatively (0.75) and clearly
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(1.00).
For the outputs, there are two main kinds of herbs in
a prescription, treating and conducting herbs. Treating
herbs directly cure the infected disease while conducting
herbs help patients organisms to easily absorb herbal ef-
fects. The total number of herbs in a prescription is from
9 to 15. Amounts of treating herbs are often adjusted by
severities of the observed symptoms whereas amounts of
conducting herbs are normally unchanged as in the stan-
dard prescriptions. The number of observed symptoms
used to adjust herbs in a standard prescription is often
from 6 to 12. In training data for NNs of RETS only
symptoms that affect herbal adjustments are used for in-
puts and all of treating and conducting herbs are used for
outputs.
For the same rheumatic state, prescriptions by differ-
ent doctors might not look similar because some doctors
use some herbs but others prefer equivalent herbs that also
give the same effects but come in different amounts. To
avoid using many equivalent herbs for the same prescrip-
tions in training data, lists of herbs in the standard pre-scriptions from text books of Hanoi Medicine University
are used and clarified by experienced doctors. For user
reference, equivalent herbs are written in the description
part of sample prescriptions.
Depending on each rheumatic state, the amounts of
herbs in prescriptions vary from 2 to 60 grams. The error
in the adjusted amounts of an herb accepted by doctors is
usually 0.5 gram for small amounts and 1.0 gram for large
amounts. Since the output range of NN is chosen from 0
to 1, amounts of herbs are normalized as coefficients. The
coefficient ck of amounts of herb k in training data, and
the actual amount WPk
of herb k in the prescriptive results
is calculated as:
ck WT
k W . . . . . . . . . . . . . (6)
WPk ck W . . . . . . . . . . . . . (7)
where WTk is amount of herb k in training data and W is
the maximum amount of a herb in the prescription.
5. Explanations
One of indispensable features of ES and DSS is ca-
pabilities to offer explanations. Logical explanations of
RETS can help users, especially young doctors or medical
students, to deeply understand inference results. Explana-
tions also make it easier for experienced doctors to revise
related sample cases in training data. Currently RETS has
general and detailed explanations about rheumatic states
and prescriptions.
General explanation: after fuzzy inference process,
from the knowledge base RETS obtains a general
explanation about the most serious rheumatic state,
then shows a fuzzy graph of all related states and
fuzzy weights wRj of rules.
Detailed explanation about similar cases: in train-ing data RETS finds similar cases that have same
Fig. 4. One neural network in RETS.
severities of observed symptoms and same infected
rheumatic states with the diagnosed patient, then
shows prescriptions of these cases and their expla-nations from experienced doctors.
6. Implementation
Based on the text books, a preliminary survey and
real rheumatic prescriptions from experienced doctors in
Thaibinh OM College, we have assessed important fuzzy
values of symptoms in rheumatic states, chosen standard
prescriptions from the text books, clarified additional and
equivalent herbs, selected specific symptoms that affected
herbal adjustments, then generated 5,000 doctor-like pre-
scriptions with combinations of severities of the state-
specified symptoms using doctor-prescribing rules and
linear methods with ranges of herbal adjustments. Train-
ing data for NN are the generated prescriptions together
with 460 real rheumatic prescriptions from the experi-
enced doctors.
Since most of herbs are written in Chinese and Viet-
namese, some herbs have English or French names and
some do not, in RETS the names of herbs are written
in Vietnamese. Symptoms and general explanations are
written in both Vietnamese and English. Detailed expla-nations with OM terms are written in Vietnamese.
There are 12 networks corresponding with 12
rheumatic states. Each NN has 3 layers as shown in
Fig. 4. Inputs to NNs are state-specified symptoms
SOi i 1 2 m with SOiand outputs from NNs are
coefficients ck k 1 2 p of amounts of herbs. The
number of neurons in the hidden layer is equal to the num-
ber of output neurons
l
p
. NNs are back-propagation
networks adopting sigmoid or hyperbolic tangent acti-
vated functions. To accelerated training, adaptive learning
and momentum term are also used. Figs. 5 and 6 show the
interfaces of RETS for diagnosis and prescription results,respectively.
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Fig. 5. Interface of diagnosis.
Fig. 6. Interface of prescription results and explanations.
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7. Evaluations
Combining NN and fuzzy inferences, we can have a
more powerful and effective DSS with learning, reason-
ing and explaining capabilities for evaluating and treating
rheumatism.
The inference rule given by (1) is equivalent to the fol-
lowing rule form:
IF fuzzy severities of symptoms
SRj1 is S
Rj1
and
and SRjn is
SRjn
THEN rheumatic state is Hjwith certainty factor wRj
. . . (8)
Using the rule form (8), a DSS may need thousands
inference rules with many combinations of symptoms in
premises. Not only do they take much time for develop-
ers to accomplish the rule acquisition but also much effort
for domain experts to revise all of the rules. Using the
rule form (1) with (2), RETS uses just 12 inference rules.
Experienced doctors have confirmed that the inference re-sults are quite good and it is easy to review the knowledge
presented by the rules.
In our experiment, we randomly split training data into
two parts of 80% and 20% and used the former for train-
ing and the later for testing. All of nonlinear relations
(real prescriptions and rules of prescribed herbs) as well
as linear relations (ranges of herbal adjustments) were
well learnt by NNs. Depending on the number of inputs
and outputs, each NN can learn about 1000 prescriptions
within an accuracy of 10 2 mean square error with both
training and testing data (equivalent to error of 0.1 gram
for each herb).
In case of unknown inputs, RETS shows the fuzzygraph of infected rheumatic states, recommends the most
proper state in which the patient seems to be infected and
gives explanations by fuzzy inference, then shows the ad-
vised prescription with appropriate amounts of herbs by
NN. Most of these prescriptions are completely compati-
ble with the real prescriptions, prescribing rules and linear
ranges of herbal adjustments in the training data.
In an evaluation with doctors in Hanoi Oriental
Medicine Institute, we asked the doctors for consider-
ing and then giving 50 rheumatic cases including real
cases that they have treated, then compare RETS re-
sults with the doctors opinions. All prescriptions fromRETS could be practically used said by doctors. About
the herbal adjustments including additional herbs and
amounts of herbs in the final prescriptions, 94% prescrip-
tions from RETS are totally agreed and 6% are fairly ac-
cepted. Experienced doctors have also used RETS to il-
lustrate treatments of clinical rheumatism cases for medi-
cal students.
8. Conclusions
We built RETS: Rheumatic Evaluation and Treatment
System in OM, and showed the diagnosing system by
fuzzy inference and herbal prescribing system by NN.
We confirmed that RETS has high performance and high
applicability for diagnosing and prescribing rheumatism.
Unfortunately, like other DSS and ES which are restricted
to a narrow domain of expertise, RETS is developed for
diagnosing and prescribing rheumatism only. It lacks
much real knowledge of human philosophy [16]. If a pa-
tient has other diseases besides rheumatism, doctors can-
not solely rely on this system since they do not have ev-
idence to control potential effects of the herbal prescrip-
tions on the other concurrent diseases. Hence, it is rec-
ommended that the system be used only for patients with
rheumatism alone, not for those with other concurrent dis-
eases.
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Name:Cao Thang
Affiliation:Graduate School of Science and Engineering,
Ritsumeikan University
Address:1-1-1 Noji-Higashi, Kusatsu, Shiga 525-8577, Japan
Brief Biographical History:1994 Bachelor of Electronics, Hanoi University of Technology
2005 MS, Graduate School of Science and Engineering, Ritsumeikan
University
Main Works:
A Decision Support System for Rheumatic Evaluation and Treatment in
Oriental Medicine Using Fuzzy Logic and Neural Network, Lecture
Notes in Artificial Intelligence (LNAI), Vol.3558, pp. 399-409,
Springer-Verlag, Berlin Heidelberg, 2005.
Membership in Learned Societies: Vietnamese Fuzzy Society
Name:Eric W. Cooper
Affiliation:Associate Professor, Computer Science,
College of Information Science and Engineering,
Ritsumeikan University
Address:1-1-1 Noji-Higashi, Kusatsu, Shiga 525-8577, Japan
Brief Biographical History:1998 MS, Ritsumeikan University
2002 Ph.D., Ritsumeikan University
2003 Joined COE program as post-doctoral researcher
2006- Associate Professor, Ritsumeikan University
Main Works: Modeling Designers Color Decision Processes Through EmotiveChoice Mapping, Lecture Notes in Computer Science, Springer-Verlag,
Vol.3558, pp. 410-421, 2005.
Membership in Learned Societies:
Human Interface Society
Institute of Systems, Control and Information Engineers
Association for Computing Machinery
Name:Yukinobu Hoshino
Affiliation:Associate Professor, Department of Electronic
and Photonic system Engineering, Kochi Univer-
sity of Technology
Address:185 Miyanoguchi, Tosayamada, Kami, Kochi 782-8502, Japan
Brief Biographical History:2002 Ph.D., Ritsumeikan University
2002- Assistant Professor in Ritsumeikan University
2006- Associate Professor in Kochi University of Technology
Main Works:
An Application of FEERL (Fuzzy Environment Evaluation
Reinforcement Learning) to Lights OutGame and Avoidance of Detour
Actions in Search, Transactions of the Institute of Systems, Control and
Information Engineers, Vol.14, No.8, pp. 395-401, 2001.
A Proposal of Reinforcement Learning with Fuzzy Environment
Evaluation Rules and Its Application to Chess, Journal of Japan Society
for Fuzzy Theory and Systems, Vol.13, No.6, pp. 626-632, 2001.
Membership in Learned Societies: Japan Society for Fuzzy Theory and Systems
The Institute of Systems, Control and Information Engineers
The Society of Instrument and Control Engineers
Japan Society of Kansei Engineering
Name:Katsuari Kamei
Affiliation:Professor, Human and Computer Intelligence,
College of Information Science and Engineering,
Ritsumeikan University
Address:1-1-1 Noji-higashi, Kusatsu, Shiga 525-8577, Japan
Brief Biographical History:1983- Assistant Professor, Ritsumeikan University
1993- Associate Professor, Ritsumeikan University
1998- Professor, Ritsumeikan University
Main Works:
Townscape Colour Planning System Using an Evolutionary Algorithm
and Kansei Evaluations, Proceedings of 2006 IEEE InternationalConference on Fuzzy Systems, pp. 4322-4329, 2006.
A Fuzzy Clustering Based Selection Method to Maintain Diversity in
Genetic Algorithms, Proceedings of 2006 IEEE Congress on
Evolutionary Computation, pp. 10364-10369, 2006.
Membership in Learned Societies:
Japan Society for Fuzzy Theory and Intelligent Informatics
The Institute of Systems, Control and Information Engineers
Human Interface Society Japan
Japan Society of Kansei Engineering
IEEE Computational Intelligence Society
10 Journal of Advanced Computational Intelligence Vol.11 No.1, 2007
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