Different theories will deploy different combination
mechanisms. For example, Dempsters combination
rule for DS theory (Shafer, 1976), states that the rule
cannot be applied if pieces of information are almost
conflicting or coming from sources that may have in-
fluenced one another.
Defintion 5: Dempster’s Combination Rule
Given two mass functions m
1
and m
2
, their combined
mass function is:
m
1⊕2
(C)=m
1
⊕m
2
(C)=(1/1-k)
∑
A∩B=C6=∅
m
1
(A)
m
2
(B)
k =
∑
A∩B=∅
m
1
(A) m
2
(B) where k is the degree of
conflict.
For each proposition such as Normal(n), this the-
ory gives a rule of combining sensor S
1
and S
2
obser-
vation m
1
and m
2
respectively.
Table 1: This table shows the results of using the combina-
tion rule.
m
2
↓ m
1
→ {n},0.6 {n,¬n},0.4
{n},0.4 {n},0.24 {n},0.16
{n,¬n},0.6 {n},0.36 {n,¬n},0.24
Therefore m
1⊕2
({n})=0.76, m
1⊕2
({n,¬n})=0.24.
This reading indicates the voltage on the line is
normal.
For heterogeneous uncertain information, we can
merge mass functions (m) with possibility distribu-
tions (π), after π can be converted into another m’.
This then allows m and m’ to be combined using DS
values (Hunter and Liu, 2006).
As a result of uncertainty, agents have chances to
take different plans to achieve the same goal. They
need to evaluate which plan to take under such utility
through a selection function that is still to be devel-
oped.
7 CONCLUSIONS AND FUTURE
WORK
Uncertainty models are approximations because it is
infeasible to eliminate uncertainty entirely. It be-
comes necessary to model a problem domain, incor-
porating appropriate fusion algorithms, in such a way
that is suitable for the type of uncertainty evident in
the system to capture the true nature of the real world
domain.
Forthcoming research will involve the design and
implementation of a multi-agent SCADA system tak-
ing the power system as an example, dealing with un-
certainty, multi-source information, as well as their
effects on agent goals and plans. To recognise dif-
ferent environments, goals, plans and actions will be
incorporated using sensor data and domain knowl-
edge. A selection function will be developed to decide
which plan is most appropriate to achieve the goal
depending upon the prevailing circumstances. This
can help in future decision making and planning. The
AgentSpeak language has been used to model plans
and goals. Jason (Bordini et al, 2007) will be used
to develop a BDI agent architecture for the SCADA
power control. We plan to integrate our BDI architec-
ture with the Electronic Institutions framework (Ar-
cos et al, 2005) in order to model norms/regulations.
REFERENCES
Arcos, J. L., Esteva, M., Noriega, P., Rodrguez-Aguilar, J.
A. and Sierra, C. (2005). Engineering open environ-
ments with electronic institutions. In Engineering ap-
plications of artificial intelligence. 18(2), 191-204.
Arghira, N., Hossu, D., Fagaraan, I., Iliesc, S.S. and Cos-
tianu, D.R. (2011). Modern scada philosophy in
power system operation A survey. In UPB Scientific
Bulletin, Series C: Electrical Engineering. 73(2), pp.
153-166.
Bordini, R. H., Hubner, J. F., Wooldridge, M. (2007). Pro-
gramming Multi-Agent Systems in AgentSpeak using
Jason. John Wiley and Sons.
Daneels, C. and Salter, W. (1999). What is SCADA? In In-
ternational Conference on Accelerator and Large Ex-
perimental Physics Control Systems. Italy, 339-343.
Dubois, D. and Prade, H. (2011). On possibility theory,
formal concept analysis and granulation: Survey. In
Applied and Computational Mathematics. 10(1), pp.
10-19.
Graham, I. and Jones, P. (1988). Expert systems: knowl-
edge, uncertainty and decision. Chapman and Hall.
Halpern, J. (2003). Reasoning about uncertainty. The MIT
Press, Cambridge, Massachusetts, London, England.
Hunter, A. and Liu, W. (2006). Fusion rules for merging
uncertain information. In Information Fusion Journal.
7(1):97-134.
Jennings, N. R., Corera, J. M. and Laresgoiti, I. (1995). De-
veloping industrial multi-agent systems. In 1st Int.
Conf. on Multi-Agent Systems (ICMAS ’95). 423-430.
Jennings, N. and Wooldridge, M. (1998). Agent Tech-
nology: Foundations, Applications, and Markets.
Springer, Berlin.
McArthur, S. D. J., Davidson, E. M., Catterson, V.M.,
Dimeas, A. L., Hatziargyriou, N. D., Ponci, F.
and Funabashi, T. (2007). Multi-agent systems for
power engineering applications - Part I: Concepts, ap-
proaches, and technical challenges. In IEEE Transac-
tions on Power Systems. 22(4), pp. 1743-1752.
Pipattanasomporn, M., Feroze, H. and Rahman, S. (2009).
Multi-agent systems in a distributed smart grid: De-
sign and implementation. In IEEE/PES Power Sys-
tems Conference and Exposition. PSCE 2009.
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