A PROPOSAL TO IMPROVE SEP ROUTING PROTOCOL USING INSENSITIVE FUZZY C-MEANS IN WIRELESS SENSOR NETWORK

International Journal of Computer Networks & Communications (IJCNC) Vol.9, No.6, November 2017
DOI: 10.5121/ijcnc.2017.9604 47
A PROPOSAL TO IMPROVE SEP ROUTING
PROTOCOL USING INSENSITIVE FUZZY C-MEANS
IN WIRELESS SENSOR NETWORK
Phan Thi The, Ngo Quang Quyen, Vu Ngoc Phan and Tran Cong Hung
Post & Telecommunications Institute of Technology,Vietnam
ABSTRACT
Nowadays, with the rapid development of science and technology and the ever-increasing demand in every
field, wireless sensor networks are emerging as a necessary scientific achievement to meet the demand of
human in modern society. The wireless sensor network (WSN) is designed to help us not lose too much
energy, workforce, avoid danger and they bring high efficiency to work. Various routing protocols are
being used to increase the energy efficiency of the network, with two distinct types of protocols,
homogenous and heterogeneous. In these two protocols, the SEP (Stable Election Protocol) is one of the
most effective heterogeneous protocols which increase the stability of the network. In this paper, we
propose an approaching the εFCM algorithm in clustering the SEP protocol which makes the WSN network
more energy efficient. The simulation results showed that the SEP-εFCM proposed protocol performed
better than the conventional SEP protocol
KEYWORDS
Wireless sensor network (WSN), Insensitive Fuzzy C-Means, Stable Election Protocol(SEP), SEP-
Insensitive Fuzzy C-Means.
1. INTRODUCTION
The WSN is a network of interconnected sensor nodes. Sensor nodes are designed compactly and
low cost. The nodes are responsible for sensing ambient conditions such as temperature, sound,
vibration, humidity, pressure, etc. Sensor nodes send their sensed data to the aggregation node
and transmit data to Sink (transceiver). As shown in Figure 1, Sink is transmitted over the internet
or satellite to the user. In this process, we see that the CH (Cluster Head) not only listen to the
signals from the nodes not also synthesize data, then transmit data on Sink so that more energy is
consumed, so the routing, specifying the path of this data stream is very important.
Firgure 1: The basic structure of wireless sensor networks

48
The routing protocols are divided into two types that are homogeneous and
heterogeneous. Homogeneous routing protocols are nodes with the same energy level as the
protocols: LEACH, TEEN, HEED, PEGASIS, APTEEN. The heterogeneous protocol is a
protocol where nodes have different energy levels and are divided into two node types: the
Advance node and the Normal node. In that, the Advance node has more energy and the
probability of becoming a node is more than the remaining node. Popular protocols in this type of
protocol are SEP[1-5], DEEC, EDEEC. SEP protocol consider the energy levels in the CH
selection process and improves the stability of the hierarchical clustering process using
characteristic parameters of heterogeneity, adding energy between the advance node and the
normal node. In order to prolong the stabilization time, SEP strives to maintain limited energy
consumption. The advance nodes will become CH more than normal nodes and will be powered
more than normal nodes. However, the selection of Cluster Head in the SEP protocol has a
disadvantage which from the two types of node Advance node and Normal node is not flexible,
therefore, that remote nodes will die first. To solve this problem, We conducted the our research
about SEP and evaluated some well-known clustering algorithms such as K-Means, Fuzzy C-
Means, Insensitive Fuzzy C-Means in WSN clustering. Based on the learning theory, We propose
a new approach which combines the Insensitive Fuzzy C-Means algorithm into the SEP protocol
which can make the WSN network more energy efficient. Additionally, we used Matlab to
simulate for the new algorithm, for 140 nodes in a network 500x500, with uneven energy
between nodes to show unequal influence among nodes in the network. 10% of the nodes have 1
Joule energy and 90% of nodes have 0.5 Joules energy. The position of the sink is set at
(250,250) and the length of each message is 500bytes. The simulation results show that the
proposed SEP-εFCM protocol performed better than the conventional SEP protocol.
Our paper consists of five parts: Part 1 is introduction, Part 2 shows the related works, Part 3
proposal, Part 4 simulation results and Final Part is the conclusion.
2. RELATED WORK
If the LEACH was Malik M.et al. [6] gave as a basic protocol for routing and values that are
effective for WSN networks, Smaragdakis has introduced a revolutionary SEP routing
protocol. SEP is a heterogeneous routing protocol and has proven to be more effective than the
LEACH protocol. In SEP protocol, the node sensors are divided into two types of nodes: the
advance node and the normal node in which the advance node is designed to have a higher energy
level and the probability becomes CH node than the normal node. As shown in Figure 2

49
Figure 2: Flow chart of CH Selection in SEP protocol
Where:
- G’: Normal node does not become CH.
- T (S’) is the threshold applied to normal node.
- G”: advanced node does not become CH.
- T(S”) is the threshold applied to advanced node.
If the K-Means algorithm [5] is a well-defined clustering algorithm, it means that one node
belongs only to one cluster, which is only suitable for discovering high density and isolated
clusters and must define the boundary. However, in practice when deploying WSN, the boundary
between clusters may be blurry, clusters may overlap, meaning that some nodes belong to
different clusters. So with this case, using the K-means algorithm will limit the functionality of
the wireless sensor network, so the Fuzzy c-means (FCM) algorithm [7-9] was born to solve this
problem. FCM is a fuzzy clustering algorithm developed by Dunn in 1973 and later improved by
Bezděk in 1981. This technique divides a set of n-vector data objects X = {x1, ..., xn} ϵ Rs into
the fuzzy groups which are based on the minimization of the objective function to measure the
quality of the partition and find the cluster centers in each cluster, so that the cost of the non-
similarity measure is minimal.

50
By 1998 Vapnick proposed using the parameter ε is called a noise-sensitive parameter to resolve
high-density clusters that overlap, where one node is not only attached to a cluster but can belong
to one cluster or many different clusters. Since then, εFCM[10-14] has always been a top choice
for fuzzy clustering.
In this article the simulated results show that the selection of CH node by εFCM algorithm
reduces the energy consumption of the WSN.
3. PROPOSED ALGORITHM
Heterogeneous protocol SEP has been proven by Smaragdakis's to provide stability and longer
lifetimes than unified protocols. However, they still contain a number of limitations, including
limited clustering for high node density clusters and complex multi-dimensional distribution,
clustering that leads to uneven clusters. (Less node clusters and multiple node clusters) that cause
network load balancing.
In this paper, We proposes using the εFCM algorithm to select CH nodes for the SEP protocol,
and selecting this node initially gives priority to the nodal node to take advantage of this
additional energy source as CH Node to create the most stable time for the network. After the
advance nodes consume the remaining energy and energy equal to the normal node, then εFCM
will proceed to select CH node over the entire network, preferring that node which has more
energy will be made CH node. The target function of the εFCM algorithm is defined as follows:
, = ∑ ∑ ‖ , ‖ (1)
Where ‖ , ‖ = ∑ − , is non-sensitive to noise are Vapnick proposed in 1998 as
follows::
‖ ‖ =
0,
‖ ‖ −
‖ ‖ ≤
‖ ‖ >
=
!
""
#
""
$
1
∑ &
'()
'*)
+
,
-./
; 1 ≤ 1 ≤ 2, 1 ≤ 3 ≤ 45
; 6 = ∅
8
0; 1 ≠ 6
:
∈ <)
= 1 ; 1 ≠ 6 , 6 ≠ ∅
2
∀ ? ? ∀ ? ? =
@A' B(
C
∪ B(
. E∑ +G HI)
C ∈ B(
C
J + ∑ −{ |I)
. ∈ B(
.} N (3)
The steps of the εFCM algorithm:
Input: The number of clusters c and the parameter m, ε for the objective function J;
Output: The cluster data so that the objective function (1) reaches the minimum value;
Begin
1. Input parameter c (1< c < 4 ), m (1 <m<+∞) and ≥ 0;
Initialize the matrix V=[ 5], V(0)
ϵQRS
, set j = 0;

51
2. Repeat
2.1 J:=j+1;
2.2 Calculate fuzzy partition matrix U(j)
according to the formula (2);
2.3 Update center clusters V(j)
= [
5
, T
5
, … … ,
5
] according to the
formula (3) and U(j)
3. Until V 5W
− 5
X
≤ Y;
4. Demonstrate result of clusters;
End
The SEP protocol [10-12] takes into account the energy level in the main node selection
process. SEP improves the stability of the hierarchical clustering process using the characteristic
parameters of the heterogeneous, additional energy between the advanced node and the normal
node. To prolong the stabilization time, SEP strives to maintain its energy consumption
limit. Advanced nodes become CH more often than normal nodes. Advanced nodes usually have
more power than the normal node. The total energy of the system varies. Assuming Eo is the
initial energy of the normal node, the energy of the advanced node is set to Eo * (1 + α). The total
energy needed to set up (new) is equivalent to: n * (1-m) * Eo + n * m * Eo (1 + α) = n * Eo (1 +
αm). Thus the total energy of the system is increased (1 + αm) times. We can increase the
stability of the sensor network (1 + αm) times.
The probability that the normal node becomes CH is 1 and the advanced node becomes CH is 1 +
α. If the threshold T (n) is set to normal and the advanced node differs in that the normal node of
G becomes the first cluster once times and the advanced node of G becomes the first cluster 1 + α
times. Pnrm is defined as the probability of selecting weights for normal nodes and the
probability of selecting weights for advanced nodes. So the weight probabilities for normal node
and advanced node nodes are:
Pnrm =
Z[
W ]
Padv =
Z[
W ]
(1+α)
The function T (n) is replaced by Popt by the weight probability to obtain the selection threshold
CH in each round.
- The threshold for normal node:
T(Snrm) =^
Z A
_Z A A∗ ['
/
abc-
if Snrm ∈ G’
0 another case
Where:
- r: current loop
- G’: Normal node does not become CH with 1 / Pnrm last cycle per phase.
- T (Snrm) is the threshold applied to n (1 - m) normal node. This ensures that each normal
node becomes CH once time in
Z[
(1+αm) per phase and that is the average of the
normal nodes becoming CH each round is n (1-m) * Pnrm
- The Threshold for advanced node

52
T(Sadv) = ^
Z@'r
_Z@'r A∗ ['
/
astu
if Snrm ∈ G’’
0 v4w ℎyz 2v{y
Where
- G”: advanced node does not become CH CH in Z@'r
last cycle per phase.
- T(Sadv) is the threshold applied to n*m advanced node.
We consider to this phase as the secondary stage. Each stage has 1 + α sub-stage and the
advanced node becomes CH exactly 1 + α times in phase. The average of advanced node
becomes CH for per cycle which has n * Padv.
So the average number of CHs per round is: n * (1-m) * Pnrm + n * m * Padv = n * Popt. This is
the desired number of CHs in per phase.
4. SIMULATION AND EVALUATION
In this paper, We uses Matlab software (R2016a) to perform simulations, for 140 nodes which
have fixed coordinates in a network 500x500, with uneven energy between nodes to show
unequal influence among nodes in the network. 10% of nodes have 1 Joules energy (a = 1, Popt =
0.1), 90% of nodes have 0.5 Joules energy. The position of the sink is set at (250,250), the length
of each message is 500bytes, the amplification coefficient efs = 10pJ / bit / m2 and e mp
= 0.0013pJ / bit / m4, the maximum number of loops is 6000.The input parameters are fixed, the
author will in turn put these parameters into running SEP protocol and proposed protocol SEP_
εFCM. Then we compare between protocol combining SEP and SEP_ εFCM protocol based on
metrics such as: number of live nodes, number of Dead nodes and the remaining energy of nodes.
PARAMETERS VALUE
Network size 500x500
BS (250,250)
Rounds 6000
Iteration 200
fs 10pJ/bit/m2
mp 0.0013pJ/bit/m4
EDA 5 nJ/bit/packet
E0 0.5J
N 140
A 1
K 15
Popt 0.1

53
4.1 RESULTS AFTER THE FIRST 1200 ROUNDS
In Figure 3, on the SEP protocol we see that after 1200 cycles the dead node has appeared, while
in the SEP_ εFCM association we see the result after 1200 cycles in Figure 4 shows no dead
node.
Figure 3: SEP protocol after 1200 rounds
Figure 4: SEP_ εFCM association protocol after 1200 rounds
4.2 NUMBER OF LIVE NODES
Figure 5 show the number of alive during the network lifetime. After 800 cycles, SEP appears as
the first dead node, after 2790 SEP_ εFCM loops appear. Proposed protocol is higher 21% SEP of
the number of rounds that the last node dies.
Therefore, the living nodes in the SEP_ εFCM combination protocol have more live nodes than
the SEP protocol. After a few initial rounds are unstable, but then the number of live nodes starts
to increase, this proves that the SEP_ εFCM combination protocol consumes more efficient

54
energy than the SEP protocol. Results for the SEP_ εFCM combination protocol have improved
more live nodes than the SEP protocol.
Figure 5: Alive Node comparison between the SEP protocol and SEP_ εFCM protocol
4.3 REMAINING ENERGY
In Figure 6 we find that, after 4985 round run, the node in SEP died out and 5150 SEP_ εFCM
nodes. Proposed protocol is higher 3.3% SEP. The result shows that the Remaining energy of the
SEP_ εFCM matching protocol is greater than that of the SEP protocol. The results of the SEP_
εFCM combination protocol have improved the residual energy of the SEP protocol.
Figure 6: Remaining energy comparison between the SEP protocol and SEP_ εFCM protocol

55
5. CONCLUSIONS
Designing WSN network with well-functioning, flexible and easy-to-deploy for real-world
applications is fraught with many difficulties, with the biggest difficulty now being the limited
node power and hard to reload. Therefore, utilizing available power resources on nodes
effectively reduces the energy consumption that extends the life of the entire network, which
increases the life of the network.We researched the routing protocols to propose the new
algorithm using the εFCM fuzzy algorithm in the selection of CH node into the SEP
protocol. Simulation results suggest that our improvement has lower power consumption and
longer network lifetime than the3.3% SEPprotocol. This helps the network extend the lifespan.
REFERENCES
[1]. D. M. a. T. Z. K. Sohraby (2007), Wireless Sensor Network Technology, Protocol, And Application,
John Wiley & Sons, Inc.
[2]. S. Basagni (1999), Distributed Clustering Algorithm for Ad Hoc Networks, Proc. Int’l. Symp. Parallel
Architectures, Algorithms, and Networks.
[3]. S. B. a. S. Khuller (Apr. 2001), A Clustering Scheme for Hierarchical Control in Multihop Wireless
Networks, Proc. IEEE INFOCOM.
[4]. Srinivas Sivarathril and A.Govardhan2 (September 2014), “Experiments on Hypothesis Fuzzy K-
Means is Better Than K-Means for Clustering”, International Journal of Data Mining & Knowledge
Management Process (IJDKP) Vol.4, No.5.
[5]. Keerthi M, M.Tech 2nd year and Dr. B. Satish Babu,Professor (August 2012), “An Improved FCM’s
Clustering Protocol for Wireless Sensor Networks”, International of Electronics and Communications
(IJEC), Volume-1,Issue-1.
[6]. Meena Malik, Yudhvir Singh, Anshu Arora (February 2013), “Analysis of LEACH Protocol in
Wireless Sensor Networks”, International Journal of Advanced Research in Computer Science and
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[7]. Maurad Hadjilal, Hervé Guyennet1, Mohammed Feham (2013), “Energy-Efficient in wireless sensor
networks using fuzzy C-Means clustering approach”, International Journal of Sensors and Sensor
Network.
[8]. A. S. Raghuvanshi*, S Tiwari, R Tripathi and N. Kishor “Optimal Number of Clusters in Wireless
Sensor Networks: An FCM Approach”Motilal Nehru National Institute of TechnologyAllahabad -
211004, INDIA.
[9]. Raja Dutta, Shishir Gupta, Mukul K. Das (November 2014), “Low-Energy Adaptive Unequal
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[10]. I. M. Georgios Smaragdakis, Azer Bestavros (2004), “SEP : A Stable Election Protocol for clustered
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56
[11]. G. Smaragdakis, I. Matta, A. Bestavros (2004), SEP: A Stable Election Protocol for clustered
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AUTHORS
Phan Thi The was born in Vietnam in 1982.She received Master Data Transmission and
NetWork in HOCHIMINH PTIT, Vietnam, 2012. She is currently a PhD.Candidate in
Information System from Post & Telecommunications Institute of Technology, Vietnam in
2019.She is working as a lecture in Thu Duc College.
Ngo Quang Quyen was born in Vietnam in 1985. He received the B.E in Industrial
Univercity of HoChiMinh city, Vietnam, 2012. He is currently a MSc. Candidate in
Information System from Post & Telecommunications Institute of Technology,
Vietnam in 2017. He is working in Children’s Hospital No.2.
Tran Cong Hung was born in Vietnam in 1961. He received the B.E in electronic and
Telecommunication engineering with first class honors from HOCHIMINH University
of technology in Vietnam, 1987. He received the B.E in informatics and computer
engineering from HOCHIMINH University of technology in Vietnam, 1995. He
received the master of engineering degree in telecommunications engineering course
from postgraduate department Hanoi University of technology in Vietnam, 1998. He
received Ph.D at Hanoi University of technology in Vietnam, 2004. His main research
areas are B – ISDN performance parameters and measuring methods, QoS in high speed networks, MPLS.
He is, currently, Associate Professor PhD. of Faculty of Information Technology II, Posts and Telecoms
Institute of Technology in HOCHIMINH, Vietnam.

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