Suranaree J. Sci. Technol. Vol. 20 No. 1; January - March 2013
21
EVALUATION OF TRAVEL WEBSITE SERVICE QUALITY
USING FUZZY TOPSIS
Golam Kabir1* and Razia Sutana Sumi2
Received: February 26, 2012; Revised: May 25, 2012; Accepted: September 25, 2012
Abstract
The Internet revolution has led to significant changes in the way travel agencies interact with
customers. Travel websites provide customers with diverse services including travel information and
products through the Internet. In practical environments, Internet users face a variety of travel
website service quality (TWSQ) that is vague from human beings’ subjective judgments. In the face
of the strong competitive environment, in order to profit by making customers proceed with
transactions on the websites, travel websites should pay more attention to improve their service
quality. This study discusses the major factors for travel agency websites’ quality from the viewpoint
of users’ perception, and explores the use of Fuzzy Technique for Order Preference by Similarity to
Ideal Solution (FTOPSIS) for the evaluation of TWSQ. Fuzzy TOPSIS is a preferred solution
method when the performance ratings are vague and imprecise. The proposed methodology is
illustrated through a practical application.
Keywords: Fuzzy set theory, multiple-attribute decision making, TOPSIS, TWSQ
Introduction
The Internet has had a tremendous impact on
today’s travel and tourism businesses due to
the rapidly growing online market over the
past several years (Telfer and Sharpley, 2008).
The Internet has become one of the most
important channels for business (Le, 2005).
Consumers use it to find travel options, seek
the best possible prices, and book reservations
for airline tickets, hotel rooms, car rentals,
cruises, and tours (Gratzer et al., 2004;
Longhi, 2009). Prior studies have pointed out
1
2
*
that online travel booking and associated
travel services are one of the most successful
B2C e-commerce practices (Burns, 2006).
Furthermore, many travel service/product
suppliers have grasped these potential
advantages by establishing their own websites
to help their business grow more rapidly
(Pan and Fesenmaier, 2000).
A website offers a business not only a
platform to promote products or services but
also another avenue to generate revenue by
School of Engineering, University of British Columbia (UBC), Kelowna, British Columba, Canada,
E-mail:
[email protected]
Department of Business Administration, Stamford University Bangladesh, Dhaka-1217, Bangladesh,
E-mail:
[email protected]
Corresponding author
Suranaree J. Sci. Technol. 20(1):21-33
22
Evaluation of Travel Website Service Quality Using Fuzzy Topsis
attracting more customers. Unfortunately,
not all websites successfully turn visitors into
customers. The effective evaluation of websites
has therefore become a point of concern for
practitioners and researchers (Yen, 2005).
As the number of online customers increases
day by day, travel-related website providers
should consider how to capture customer
preferences explicitly (Shen et al., 2009).
Researchers indicated that service quality can
help create differentiation strategies between
providers (Clemons et al., 2002) and may be
is one of the critical success factors of any
Internet business (Zeithaml et al., 2002).
Moreover, excellent online service will result
in desirable behaviors such as word of mouth
promotion, willingness to pay a price premium
and repurchasing (Reichheld et al., 2000).
Thus, for travel agencies desiring to survive
and thrive on the Internet, and willing
to invest in online services, it is critical to
understand precisely in advance how online
customers will evaluate their full service offer
and which service quality dimensions are
valued most (Jeong et al., 2003).
Parasuraman et al. (1985) developed a
five-gap model and indicated that service quality
is a perception result when customers compare
their expectations with their perceptions of the
service received. Subsequently, SERVQUAL
instrument (Parasuraman et al., 1988) has
been widely used by academics and practitioners
to measure service quality. Santos (2003)
indicated that service quality is a key
determinant in differentiating service offers
and building competitive advantages, since
the costs of comparing alternatives are
relatively low in online environments.
A number of researchers (e.g. Chand, 2010)
used the five dimensions of SERVQUAL
instrument and the characteristics of
the Internet as basis for developing the
measurement dimensions that affect website
service quality, but Rowley (2006) revealed
that these studies had shown that some of
service quality dimensions were different
from the five dimensions described by the
original SERVQUAL researchers. To better
understand the dimensions that affect the
online consumer’s TWSQ in virtual context,
this study attempts to derive the instrument
dimensions of website service quality through
modifying moderately the e-SERVQUAL
scale developed by Zeithaml et al. (2002) and
considering the travel and tourism contexts
from the online customers’ perspectives to suit
the travel website context.
To explore the past related studies, most
of the conventional measurement methods
for evaluating website service quality use
statistical methods for the analysis. During
recent years, different website evaluation
approaches have been introduced. These deal
with website usability and design (Palmer,
2002), content (Robbins and Stylianou,
2003), quality (Dominic et al., 2010), user
acceptance (Shih, 2004), and user satisfaction
(Szymanski and Hise, 2000). From a tactical
viewpoint, these approaches were good by
assessing user attitude towards the website
and could be considered as an external user’s
view. From a strategic viewpoint, however,
little attention has been given to evaluating
the consistency between web strategy and
web presence, which can be considered as
an internal evaluation, from the company’s
viewpoint.
Multiple criteria decision making
(MCDM) is one of the major tools for the
evaluation of service quality in different
fields. MCDM deals with the problem of
choosing an option from a set of alternatives
which are characterized in terms of their
attributes (Hwang and Yoon, 1981). The
decision maker may express or define a
ranking for the attributes as importance/
weights. The aim of the MCDM is to obtain
the optimum alternative that has the highest
degree of satisfaction for all of the relevant
criteria. Seven-point or five-point Likert
scales is one of the major way to collect the
rating of different website service quality
attributes (Yen and Lu, 2008; Chang et al.,
2009). Mustafa et al. (2005) applied Analytic
Hierarchy Process (AHP) to determine the
service quality of airlines and compared the
service quality of various airlines. They
evaluated the service quality of seven airlines
Suranaree J. Sci. Technol. Vol. 20 No. 1; January - March 2013
servicing the Penang International Airport on
the basis of four criteria tangibility, reliability,
responsiveness and assurance.
Moreover, measuring website service
quality is characterized by uncertainty,
subjectivity, imprecision, and vagueness with
perception of response. After Zadeh (1965)
proposed the fuzzy set theory, an increasing
number of studies have dealt with uncertain
fuzzy problems by applying the fuzzy set
theory extensively to help solve the service
quality problems. Liou and Chen (2006)
proposed a conceptual model to assess the
perceived service quality properly using fuzzy
set theory. The fuzzy perceived quality score
is calculated by combining the fuzzy numbers
of criteria with the corresponding weights.
The fuzzy scores are then transformed to
linguistic terms to reflect the customer’s
satisfaction level of overall service quality as
interpreted by the reviewer. Benitez et al.
(2007) presented a fuzzy TOPSIS approach
for evaluating dynamically the service quality
of three hotels of an important corporation in
Gran Canaria Island via surveys. Lai et al.
(2007) exploreed the effects of travel website
service quality on the customers’ relational
benefits, and the relationships among
customers’ relational benefits, e-satisfaction,
and e-loyalty. They investigated on-line
customers who have had transactions with
travel websites within one year and used
LISREL software to test the hypotheses.
Oliveira (2007) employed structural equation
modeling to examine the link between website
service quality and customer loyalty. His
research found a strong and significant link
between the two constructs, suggesting that
this relationship also holds in e-service
settings.
Parameshwaran et al. (2009) used fuzzy
Analytic Hierarchy Process (FAHP) for the
measurement of service quality of automobile
repair shops. The Service Quality Measure
(SQM) from fuzzy AHP, the cost dimensions
(generated revenue and operating cost) and
the time dimension (productive service time)
were provided to the Data Envelopment
Analysis (DEA) model to measure the
23
efficiency of automobile repair shops. Fuzzy
Multi-Attribute Decision-Making (FMADM)
approach was also used to measure of service
quality of healthcare (Rahman and Qureshi,
2009). They also proposed a Technique for
Order Performance by Similarity to Ideal
Solution (TOPSIS)-based Performance Index
(PI) for the performance evaluation of
hospital services. Yang et al. (2009) used four
dimensions of SERVQUAL, which include
reliability, responsiveness, assurance, and
empathy, to measure the users’ cognition of
SERVQUAL in online channel. Sun and Lin
(2009) proposed a conceptual framework
for evaluating the competitive advantages of
shopping websites using fuzzy TOPSIS.
According to their research, the security and
trust are the most important factors for
improving the competitive advantage of
shopping website. Lee et al. (2009) evaluated
the of travel website service quality by Fuzzy
Analytic Hierarchy Process (FAHP). FAHP
method was employed to determine the fuzzy
weights between each aspect from subjective
judgment and a non-additive integral technique
was applied to integrate the performance
ratings of criteria in each aspect. Shipley
and Coy (2009) developed an operational
performance model with direct applicability to
the post-9/11 US airline industry using fuzzy
logic. A database of numerical scores was
transformed into a fuzzy database, and then
fuzzy probabilities were used to assess the
belief that the scores fall within the desired
range for each criterion. Büyüközkan (2010)
presented a MCDM framework for evaluating
the performance of Turkish government
websites. The subjectivity and vagueness in
multidimensional characteristics of website
quality were dealt with fuzzy logic. Abdolvand
and Taghipouryan (2011) evaluated service
quality of Iran’s service organizations by
using Fuzzy MCDM approach. At first, they
applied Entropy method for calculating
the criteria weights. Then, for evaluation of
Service Quality they used fuzzy numbers on
the basis of five dimensions of service quality
in SERVQUAL model. Finally, they conducted
Technique for Order Preference by Similarity
24
Evaluation of Travel Website Service Quality Using Fuzzy Topsis
to Ideal Solution (TOPSIS) to achieve the
final ranking results.
The main purpose of this study is to
evaluate the major factors for travel agency
websites quality from the viewpoint of users’
perception and propose a systematic evaluation
model that considers the uncertainties or
vagueness of decision making or judgments
to find out the ideal solution using fuzzy
TOPSIS. In classical TOPSIS, the rating and
weight of the criteria are known precisely.
However, under many real situations, crisp
data are inadequate to model real life situation
since human judgments are vague and cannot
be estimated with exact numeric values (Kabir
and Hasin, 2012). To resolve the ambiguity
frequently arising in information from human
judgments, fuzzy set theory has been
incorporated in many MCDM methods
including TOPSIS. The merit of using a fuzzy
approach is to assign the relative importance
of attributes using fuzzy numbers instead of
precise numbers. Fuzzy TOPSIS is used to
determine the weights of evaluation criterion
and rank the service quality of the five
websites. This research also tries to provide
some empirical tactics in order to enhance
management performance for the evaluation
of website service quality.
The remainder of this paper is organized
as follows. In the next section, the proposed
methodology will be described with a brief
note on fuzzy set theory and fuzzy TOPSIS
method. The following section provides the
background information for the case study
problem and the justification of the proposed
model. The discussion that summarizes the
empirical results is given in next section.
Finally, the last section presents the conclusion
and discusses the limitations and scope for
future research.
the user prefers a simpler weighting approach.
TOPSIS method was first proposed by Hwang
and Yoon (1981). According to this technique,
the best alternative would be the one that is
nearest to the positive ideal solution and
farthest from the negative ideal solution
(Benitez et al., 2007). The positive ideal
solution is a solution that maximizes the
benefit criteria and minimizes the cost criteria,
whereas the negative ideal solution maximizes
the cost criteria and minimizes the benefit
criteria (Wang and Elhag, 2006; Wang and
Chang, 2007; Wang and Lee, 2007; Lin et al.,
2008). In other words, the positive ideal
solution is composed of all best values
attainable of criteria, whereas the negative
ideal solution consists of all worst values
attainable of criteria (Ertuǧrul and Karakasoǧ
lu, 2009).
This section extends the TOPSIS to the
fuzzy environment (Yang and Hung, 2007).
This method is particularly suitable for
solving the group decision-making problem
under fuzzy environment. The rationale of
fuzzy theory were reviewed before the
development of fuzzy TOPSIS. The mathematics
concept was borrowed from Ashtiani et al.
(2009); Buyukozkan et al. (2007) and Wang
and Chang (2007):
Definition 1: A fuzzy set
in a
universe of discourse X is characterized by a
membership function μ (x) which associates
with each element x in X, a real number in the
interval [0, 1]. The function value μ (x) is
termed the grade of membership of x in .
The present study uses triangular fuzzy
numbers. A triangular fuzzy number ã can be
defined by a triplet (a1, b1, c1). Its conceptual
schema and mathematical form are shown by
Equation (1):
Fuzzy TOPSIS Method
TOPSIS (Technique for Order Preference by
Similarity to Ideal Solution) is one of the
useful MCDM techniques that are very simple
and easy to implement, so that it is used when
(1)
Suranaree J. Sci. Technol. Vol. 20 No. 1; January - March 2013
Definition 2: Let 1 = (a1, b1, c1) and
=
(a 2, b 2, c 2) are two triangular fuzzy
2
numbers, then the vertex method is defined
to calculate the distance between them.
(2)
Property 1: Assuming that both 1 =
(a 1 , b 1 , c 1 ) and 2 = (a 2 , b 2 , c 2 ) are real
numbers, then the distance measurement d
( 1, 2) is identical to the Euclidian distance.
Property 2: Assuming that 1 = (a1, b1,
c1) and 2 = (a2, b2, c2) are two TFNs, then
their operational laws can be expressed as
follows:
Attributes: Attributes (Cj, j = 1, 2,..., n)
should provide a means of evaluating the
levels of an objective. Each alternative can be
characterized by a number of attributes.
Alternatives: These are synonymous
with ‘options’ or ‘candidates’. Alternatives
(Ai, i = 1, 2, ..., m) are mutually exclusive of
each other.
Attribute weights: Weight values
( j ) represent the relative importance of
= { j | j = 1,
each attribute to the others.
2,..., n}.
25
Fuzzy Membership Function
The decision makers use the linguistic
variables to evaluate the importance of
criteria, sub-criteria and the ratings of
alternatives with respect to various criteria.
The present study has only precise values for
the performance ratings and for the criteria
weights. In order to illustrate the idea of fuzzy
MCDM, the existing precise values have been
transformed into seven-levels, fuzzy linguistic
variables -Very Low (VL), Low (L), Medium
Low (ML), Medium (M), Medium High
(MH), High (H) and Very High (VH).
Among the commonly used fuzzy
numbers, triangular and trapezoidal fuzzy
numbers are likely to be the most adoptive
ones due to their simplicity in modeling and
interpretation. Both triangular and trapezoidal
fuzzy numbers are applicable to the present
study. As triangular fuzzy number can
adequately represent the seven-level fuzzy
linguistic variables, it is used for the analysis
hereafter. A transformation can be found in
Table 1 and Figure 1. For example, the fuzzy
variable - Medium High (MH) has its associated
triangular fuzzy number with minimum of
0.5, mode of 0.7 and maximum of 0.9. The
same definition is then applied to the other
fuzzy variables.
The linguistic ratings ( ij, i = 1, 2,..., m,
j = 1, 2,..., n) for alternatives with respect to
criteria and the appropriate linguistic variables
( j, j = 1, 2,..., n) for the weight of the criteria
can be concisely expressed in matrix format
as Equations (6) and (7).
Figure 1. Fuzzy triangular membership functions
̃
̃
̃
̃
̃ ̃ ̃̃
̃
̃
̃
̃
̃
̃
̃
̃
̃
̃
̃
̃
̃
̃ Using
̃
̃
Evaluation of Travel Website Service Quality
Fuzzy
Topsis
26
C1
A1
A2
A3
̃ = .
.
.
̃
Am
̃
C3
.
.
.
̃ 11 ̃ 12 ̃ 13
̃ 21 ̃ 22 ̃ 23
̃̃ 31 ̃̃ 32 ̃̃ 33
̃. ̃. ̃.
̃. ̃. ̃.
.
.
.
̃ m1 ̃ m2 ̃ m3
C2
.
.
.
.
.
.
.
.
.
.
.
.
.
.
. ̃ 1n
. ̃ 2n
. ̃̃ 3n
. ̃.
. ̃.
.
.
. ̃ mn
̃̃ ̃ ̃
̃̃
Cn
̃
̃ = [ ̃ 1, ̃ 2,….., ̃ n]
̃ = [ ̃ ij]m×
̃
̃
(8)
The weighted fuzzy normalized decision
̃
matrix is ̃shown as Equation (9):
̃
̃
(6)
(7)
̃
̃
where ij, i =1, 2, ..., m, j = 1, 2, ..., n and j,
j = 1, 2, ..., n are linguistic triangular fuzzy
numbers, ij = (aij, bij, cij) and j = (wj1, wj2,
wj3). Note that ij is the performance rating of
̃
the ith ̃alternative,
Ai, with respect to the jth
attribute, Cj and wj represents the weight of
̃
the jth̃attribute,
Cj.
The normalized fuzzy decision matrix
̃
denoted bỹ is̃ shown as̃ Equation (8):
̃
̃11
̃21
.
. ̃
̃i1
.
.
̃m1̃
=
=
̃12
̃22
.
.
̃i2
.
.
̃m2
̃ 1 ̃ 11
̃1 ̃
̃ 21
.̃
.
̃ 1 ̃ i1
.
.
̃ 1 ̃̃
m1
=
=
̃
̃
̃
̃
̃
̃ ̃
̃
̃
̃
̃1j
̃2j
.
.
̃ij
.
.
̃mj
̃ 2 ̃ 12
̃ 2 ̃ 22
.
.
̃ 2 ̃ i2
.
.
̃ 2 ̃ m2
̃
̃
̃
̃
̃
̃
̃ and the fuzzy
̃ triangular membership functions
Table 1. Linguistic
variable
̃ =
̃
̃
̃
.
̃
.
.
variable
Domain
.
. Membership function
̃ = Linguistic
̃
̃
̃
̃
̃
̃
̃.
̃
Very Low (VL
̃
̃
̃ ̃
Low
̃ (L)
̃
.
̃
̃ ̃
̃ ̃
̃ ̃
̃ ̃
̃ ̃
̃ ̃
=Medium̃Low
̃ (ML) ̃ ̃
=
̃ ̃
̃ ̃ (M)
Medium
̃ ̃
̃ ̃
̃ ̃
̃ ̃
Medium High (MH)
High (H)
Very High (VH)
̃
μ (x) = (0.1-x) / (0.1-0)
̃
̃
μ (x)̃= (x-0)
/ (0.1-0) ̃
̃ ̃
̃
μ (x) = (0.3-x) / (0.3-0.1)
̃ ̃
̃
̃
μ (x) ̃= (x-0.1)
/ (0.3-0.1) ̃
.
̃ ̃
.
̃
μ. (x) = (0.5-x) / .(0.5-0.3)
.
.
̃
μ (x) ̃= (x-0.3)
/ (0.5-0.3) ̃
̃ ̃
̃
μ (x) = (0.7-x) / (0.7-0.5)
̃ ̃
̃ ̃
μ (x) = (x-0.5) / (0.7-0.5)
̃
̃
̃
̃
̃
.
.
.
.
.
.
.
.
.
.
.
.
̃.
.
.
.
̃.
̃ .̃
̃ .̃
.
.
.
.
.
̃ ̃
̃ ̃
̃
̃
̃1n
̃2n
.
.
̃in
.
.
̃mn
̃
̃ j ̃ 1j
̃ j ̃ 2j
.
.
̃ j ̃ ij
.
.
̃ j ̃ mj
.
.
.
.
.
.
.
.
̃
.
̃
. ̃
. ̃
̃
.
.
.
.
.̃
̃
̃ n ̃ 1n
̃ n ̃ 2n
.
.
̃ n ̃ in
.
.
̃ n ̃ mn
̃ ̃
0 < x < 0.1
0,0,0.1
0 < x < 0.1
0,0.1,0.3
0.1 < x < 0.3
0.1,0.3,0.5
0.3 < x < 0.5
0.3 < x < 0.5
0.3,0.5,0.7
0.5 < x < 0.7
0.5 < x < 0.7
μ (x) = (0.9-x) / (0.9-0.7)
0.7 < x < 0.9
μ (x) = (x-0.7) / (0.9-0.7)
0.7 < x < 0.9
μ (x) = (1-x) / (1-0.9)
0.9 < x < 1
μ (x) = (x-0.9) / (1-0.9)
0.9 < x < 1
̃ ̃
̃ ̃
̃ ̃
(9)
Triangular fuzzy
scale
0.1 < x < 0.3
̃
̃
̃
̃
0.5,0.7,0.9
0.7,0.9,1
0.9,1,1
̃ ̃
Suranaree J. Sci. Technol. Vol. 20 No. 1; January - March 2013
The fuzzy positive-ideal solution (FPIS)
A * and the fuzzy negative-ideal solution
(FNIS) A– are calculated as Equations (10)
and (11):
Positive Ideal solution:
̃
A* = { ̃1* , ̃2* ,…, ̃n*}, where ̃j* =
̃̃
̃
̃̃
̃̃ˉ ˉ
ˉ
ˉˉ
ˉ
̃
̃̃ ={(
={( max ̃̃ij | i = 1,2,…,m), j = 1,2,…,n}
(10)
(10)
̃̃
̃̃
̃̃
̃̃
̃̃
ˉ
ˉ
ˉ
ˉ
Aˉ = { ̃ ̃
̃
̃
̃
̃̃
̃̃Negative ideal
̃̃ solution:
̃̃ˉ ˉ
̃̃
Aˉ
Aˉ=={{ ̃̃1ˉˉ , ̃̃̃2ˉˉ ,…, ̃̃nˉ̃ˉ}, where ̃̃ˉjˉ ̃=
̃̃
̃
(11)
̃
̃
={(̃max̃̃̃∑ij | i = 1,2,…,m),
j =̃1,2,…,n} (11)
̃̃ ={(
̃ ̃
∑
̃ ̃
∑∑
̃̃ ̃̃
ˉ̃
ˉ ̃
̃ˉ ̃ distance
̃
̃
The
of
each̃ ˉ alternative
Aˉ
=
{
̃
̃
̃ from
∑∑
̃̃ ̃̃
ˉ
ˉ ∑
ˉ ̃̃
ˉ
∑
̃
̃
FPIS
Aˉ
= { ̃ and̃ FNIS
̃ can be ̃calculated
̃ using
∑∑ and (13).
̃̃ ̃̃
∑∑
̃̃ ̃̃ Equations (12)
∑∑
̃̃ ̃̃ Aˉ = { ̃ ˉ ̃ ˉ
̃ˉ
̃ˉ
̃
̃̃
ˉˉ
̃̃
ˉˉ
∑
( ̃ ̃), i = 1, 2,….,m (12)
∑
̃ ), i = 1, 2,….,m
∑
((̃̃ ̃)
∑
( ̃ ̃ ), i = 1, 2,….,m (13)
∑
̃ ̃
Then, ∑similarities
̃ ̃ to ideal solution are
calculated. This step solves the similarities to
an ideal solution by Equation (14):
CCi* = di– / (di* +di– )
(14)
The CC i* is defined to determine the
ranking order of all alternatives. Choose an
alternative with maximum CC i * or rank
alternatives according to CCi* in descending
order.
Empirical Evidence
A comparison of five existing travel websites
in Bangladesh serves to validate the model by
testing the propositions that were developed.
To preserve confidentiality, the five travel
websites are referenced as WA 1,WA 2, WA 3,
WA 4 and WA 5 . A structured undisguised
questionnaire was developed containing 37
27
closed questions and 5 open questions. The
questionnaire was sent by e-mail to a
convenience sample of about 346 contacts on
April 10th 2011, with the invitation to complete
the questionnaire for at least one travel
website. One hundred and forty one respondents
completed the questionnaire, 39 respondents
for WA1, 25 respondents for WA2, 21 respondents
for WA 3 , 31 respondents for WA 4 , and 25
respondents for WA5.
The main goal of the questionnaire is to
identify the major factors for travel agency
websites quality from the viewpoint of users’
perception. The hierarchy structure adopted in
this study as a means of dealing with assessing
the service quality of travel websites is shown
in Figure 2.
The evaluation of the service website
quality is conducted by a committee of experts
consisting of five professionals from practice
and two from the academia. The performance
ratings or fuzzy pairwise comparison of subcriteria with respect to the five alternatives
and their weights using linguistic variables
provided by committee of experts are given in
Table 2. The fuzzy linguistic variable is
then transformed into a fuzzy triangular
membership function as shown in Table 3
using Table 1 and Figure 1.
Using Equation (9) and fuzzy
multiplication Equation (5), fuzzy weighted
decision matrix is calculated which is shown
in Table 4.
Table 5 shows that the elements ij are
normalized positive triangular fuzzy numbers
and their ranges belong to the closed interval
[0,1]. Thus, fuzzy positive-ideal solution
(FPIS) A * and the fuzzy negative-ideal
solution (FNIS) A– can be defined as: j* =
(1,1,1) and j– = (0,0,0). Then, the distance of
each alternative from A* and A– is calculated
using Equations (10) and (11). After that, the
similarities to an ideal solution are determined
using Equation (14). The resulting fuzzy
TOPSIS analyses are summarized in Table 5.
Based on the Table 5, the order of
ranking the alternatives using fuzzy TOPSIS
method results as follows:
28
Evaluation of Travel Website Service Quality Using Fuzzy Topsis
WA2 > WA1 > WA3 > WA4 > WA5
Discussions
Fuzzy TOPSIS is a preferred choice for the
instance of imprecise or vague performance
ratings in solving the proposed service quality
Level 1
Goal
Level 2
Attributes
problem. Based on the fuzzy TOPSIS analysis,
a conclusion can be drawn from the viewpoint
of users’ perception that the website quality of
WA 2 provides the best information and
service. Due to the MCDM nature of the
proposed problem, an optimal solution may
not exist; however, the systematic evaluation
of the MCDM problem can reduce the risk of
Level 3
Criteria
Easy to find information on the
website (C11)
Efficiency (C1)
Easy to link to other website (C12)
Level 4
Alternatives
Websites/
alternatives 1
(WA1)
Display the webpage quickly (C13)
Confidentiality for customer’s
information (C21)
Evaluation of Travel Website Service Quality
Privacy (C2)
Privacy security policy (C22)
Give customer information to
other website (C23)
Reliability (C3)
Websites/
alternatives 2
(WA2)
Proper website function (C31)
Effective information delivery
service (C32)
Uncommon occurrence of website
crash (C33)
Provide accurate information (C34)
Websites/
alternatives 3
(WA3)
Help available when problem
encountered (C41)
Responsiveness
(C4)
Provide relevant information for
solving problem (C42)
Response to customer’s complain
quickly (C43)
Provide FAQ information service
(C44)
Websites/
alternatives 4
(WA4)
Provide personalized information
(C51)
Personalization
(C5)
Provide various personalized
services (C52)
Understand the specific
customer’s needs (C53)
Websites/
alternatives
5 (WA5)
Figure 2. The objective hierarchy for evaluation of travel website service
29
Suranaree J. Sci. Technol. Vol. 20 No. 1; January - March 2013
a poor service quality selection.
Finally, there are some limitations to
the fuzzy TOPSIS approach. The membership
function of natural-language expression
depends on the managerial perspective of the
decision-maker. The decision maker must be
at a strategic level in the company in order to
evaluate the importance and trends of all
aspects, such as strategy, marketing, and
technology to evaluate travel website service
quality.
of TWSQ is a crucial management tool for the
travel managers. Through establishing a
proper and effective evaluation model for
assessing the TWSQ, it can identify criteria
and find the relative importance of criteria.
The proposed methodology provides a
systematic approach to narrow down the
number of alternatives and to facilitate the
decision making process. The proposed models
can provide a guideline for the travel managers
to provide appropriate levels of service quality
in response to customers’ needs.
As a future direction, other decisionmaking methods can be included in the
methodology to ensure more integrated and/or
comparative study. As another direction,
TWSQ evaluation criteria number can be
increased, and a user friendly interface can be
prepared to speed up and simplify the
calculations. For further research, the results
of the study can be compared with those of
Conclusions
As a result of the rapid development of
information and communication technologies,
customers have gained access to a wide range
of new services on the Internet. To help travel
service providers better understand how the
online customers view their services relative
to their competitors, a customer-driven model
Table 2. Aggregated fuzzy comparison matrix of the attributes with respect to the overall objective
WA1
WA2
WA3
WA4
WA5
Weights
C11
VH
M
M
VL
VH
M
C12
ML
VH
MH
VL
MH
ML
C13
VH
MH
ML
ML
VL
L
C21
MH
VL
VH
MH
VL
M
C22
VH
VL
ML
MH
ML
ML
C23
M
VH
VL
VL
M
L
C31
VL
ML
VH
VH
VL
M
C32
VH
VL
VH
VH
M
L
C33
VH
M
VH
M
VL
ML
C34
VL
ML
VH
VL
MH
L
C41
ML
ML
VH
VL
M
ML
C42
VH
VL
MH
ML
MH
L
C43
MH
VH
ML
VL
ML
ML
C44
VH
M
MH
M
VL
L
C51
VH
M
M
VH
VL
ML
C52
VH
VH
ML
VL
VL
MH
C53
VL
VL
VH
M
M
L
30
Evaluation of Travel Website Service Quality Using Fuzzy Topsis
Table 3. Fuzzy decision matrix and fuzzy attribute weights
WA1
WA2
WA3
WA4
WA5
Weights
0.9,1,1
0.1,0.3,0.5
0.3,0.5,0.7
0.9,1,1
0.3,0.5,0.7
0.5,0.7,0.9
0,0,0.1
0,0,0.1
0.9,1,1
0.5,0.7,0.9
0.3,0.5,0.7
0.1,0.3,0.5
C13
0.9,1,1
0.5,0.7,0.9
0.1,0.3,0.5
0.1,0.3,0.5
0,0,0.1
0,0.1,0.3
C21
0.5,0.7,0.9
0,0,0.1
0.9,1,1
0.5,0.7,0.9
0,0,0.1
0.3,0.5,0.7
C22
0.9,1,1
0,0,0.1
0.1,0.3,0.5
0.5,0.7,0.9
0.1,0.3,0.5
0.1,0.3,0.5
C23
0.3,0.5,0.7
0.9,1,1
0,0,0.1
0,0,0.1
0.3,0.5,0.7
0,0.1,0.3
C31
0,0,0.1
0.1,0.3,0.5
0.9,1,1
0.9,1,1
0.0,0.1
0.3,0.5,0.7
C32
0.9,1,1
0,0,0.1
0.9,1,1
0.9,1,1
0.3,0.5,0.7
0,0.1,0.3
C33
0.9,1,1
0.3,0.5,0.7
0.9,1,1
0.3,0.5,0.7
0,0,0.1
0.1,0.3,0.5
C34
0,0,0.1
0.1,0.3,0.5
0.9,1,1
0,0,0.1
0.5,0.7,0.9
0,0.1,0.3
C41
0.1,0.3,0.5
0.1,0.3,0.5
0.9,1,1
0,0,0.1
0.3,0.5,0.7
0.1,0.3,0.5
C42
0.9,1,1
0,0,0.1
0.5,0.7,0.9
0.1,0.3,0.5
0.5,0.7,0.9
0,0.1,0.3
C43
0.5,0.7,0.9
0.9,1,1
0.1,0.3,0.5
0,0,0.1
0.1,0.3,0.5
0.1,0.3,0.5
C44
0.9,1,1
0.3,0.5,0.7
0.5,0.7,0.9
0.3,0.5,0.7
0,0,0.1
0,0.1,0.3
C51
0.9,1,1
0.3,0.5,0.7
0.3,0.5,0.7
0.9,1,1
0,0,0.1
0.1,0.3,0.5
C52
0.9,1,1
0.9,1,1
0.1,0.3,0.5
0,0,0.1
0,0,0.1
0.5,0.7,0.9
C53
0.0,0.1
0,0,0.1
0.9,1,1
0.3,0.5,0.7
0.3,0.5,0.7
0,0.1,0.3
C11
C12
Table 4. Fuzzy-weighted decision matrix
WA1
C11
C12
WA2
WA3
0.27,0.5,0.7 0.09,0.25,0.49 0.09,0.25,0.49
0.01,0.09,0.25 0.09,0.3,0.5 0.05,0.21,0.45
WA4
WA5
Weights
0,0,0.07
0,0,0.05
0.27,0.5,0.7
0.05,0.21,0.45
0.3,0.5,0.7
0.1,0.3,0.5
C13
0,0.1,0.3
0,0.07,0.27
0,0.03,0.15
0,0.03,0.15
0,0,0.03
0,0.1,0.3
C21
0.15,0.35,0.63
0,0,0.07
0.27,0.5,0.7
0.15,0.35,0.63
0,0,0.07
0.3,0.5,0.7
C22
0.09,0.3,0.5
0,0,0.05
C23
0,0.05,0.21
0,0.1,0.3
0,0,0.03
0,0,0.03
0,0.05,0.21
0,0.1,0.3
C31
0,0,0.07
0.03,0.15,0.35
0.27,0.5,0.7
0.27,0.5,0.7
0,0,0.07
0.3,0.5,0.7
0.01,0.09,0.25 0.05,0.21,0.45 0.01,0.09,0.25
0.1,0.3,0.5
C32
0,0.1,0.3
0,0,0.03
0,0.1,0.3
0,0.1,0.3
0,0.05,0.21
0,0.1,0.3
C33
0.09,0.3,0.5
0.03,0.15,0.35
0.09,0.3,0.5
0.03,0.15,0.35
0,0,0.05
0.1,0.3,0.5
0,0,0.03
0,0.03,0.15
C34
C41
0.01,0.09,0.25 0.01,0.09,0.25
0,0.1,0.3
0,0,0.03
0,0.07,0.27
0,0.1,0.3
0.09,0.3,0.5
0,0,0.05
0.03,0.15,0.35
0.1,0.3,0.5
C42
0,0.1,0.3
0,0,0.03
0,0.07,0.27
0,0.03,0.15
0,0.07,0.27
0,0.1,0.3
C43
0.05,0.21,0.45
0.09,0.3,0.5
0.01,0.09,0.25
0,0,0.05
0.01,0.09,0.25
0.1,0.3,0.5
0,0.05,0.21
0,0.07,0.27
C44
0,0.1,0.3
C51
0.09,0.3,0.5
C52
0.45,0.7,0.9
0.45,0.7,0.9
0.05,0.21,0.45
C53
0,0,0.03
0,0,0.03
0,0.1,0.3
0.03,0.15,0.35 0.03,0.15,0.35
0,0.05,0.21
0,0,0.03
0,0.1,0.3
0.09,0.3,0.5
0,0,0.05
0.1,0.3,0.5
0,0,0.09
0,0,0.09
0.5,0.7,0.9
0,0.05,0.21
0.3,0.5,0.7
0,0.1,0.3
31
Suranaree J. Sci. Technol. Vol. 20 No. 1; January - March 2013
Table 5. Fuzzy TOPSIS analysis
j1
j2
j3
j4
A*
A–
C11
0.27,0.5,0.7
C12
0.01,0.09,0.25
0.09,0.3,0.5
C13
0,0.1,0.3
C21
0.15,0.35,0.63
C22
0.09,0.3,0.5
0,0,0.05
1,1,1
0,0,0
C23
0,0.05,0.21
0,0.1,0.3
0,0,0.03
0,0,0.03
0,0.05,0.21
1,1,1
0,0,0
C31
0,0,0.07
0.03,0.15,0.35
0.27,0.5,0.7
0.27,0.5,0.7
0,0,0.07
1,1,1
0,0,0
C32
0,0.1,0.3
0,0,0.03
0,0.1,0.3
0,0.1,0.3
0,0.05,0.21
1,1,1
0,0,0
C33
0.09,0.3,0.5
0.03,0.15,0.35
0.09,0.3,0.5
0.03,0.15,0.35
0,0,0.05
1,1,1
0,0,0
C34
0,0,0.03
0,0.03,0.15
0,0.1,0.3
0,0,0.03
0,0.07,0.27
1,1,1
0,0,0
0.09,0.3,0.5
0,0,0.05
0.03,0.15,0.35
1,1,1
0,0,0
C41
0.09,0.25,0.49 0.09,0.25,0.49
j5
0,0,0.07
0.27,0.5,0.7
1,1,1
0,0,0
0.05,0.21,0.45
0,0,0.05
0.05,0.21,0.45
1,1,1
0,0,0
0,0.07,0.27
0,0.03,0.15
0,0.03,0.15
0,0,0.03
1,1,1
0,0,0
0,0,0.07
0.27,0.5,0.7
0.15,0.35,0.63
0,0,0.07
1,1,1
0,0,0
0.01,0.09,0.25 0.01,0.09,0.25
0.01,0.09,0.25 0.05,0.21,0.45 0.01,0.09,0.25
C42
0,0.1,0.3
0,0,0.03
0,0.07,0.27
0,0.03,0.15
0,0.07,0.27
1,1,1
0,0,0
C43
0.05,0.21,0.45
0.09,0.3,0.5
0.01,0.09,0.25
0,0,0.05
0.01,0.09,0.25
1,1,1
0,0,0
C44
0,0.1,0.3
0,0.05,0.21
0,0.07,0.27
0,0.05,0.21
0,0,0.03
1,1,1
0,0,0
C51
0.09,0.3,0.5
0.09,0.3,0.5
0,0,0.05
1,1,1
0,0,0
C52
0.45,0.7,0.9
0.45,0.7,0.9
0.05,0.21,0.45
0,0,0.09
0,0,0.09
1,1,1
0,0,0
C53
0,0,0.03
0,0,0.03
0,0.1,0.3
0,0.05,0.21
0,0.05,0.21
1,1,1
0,0,0
+
i
13.6642
13.2785
13.7867
15.0051
15.3456
–
i
4.1507
4.0976
4.1228
2.61662
2.4222
0.2330
0.2358
0.2302
0.1485
0.1363
d
d
CC
*
i
0.03,0.15,0.35 0.03,0.15,0.35
other fuzzy multi-criteria techniques such as
fuzzy ELECTRE, fuzzy PROMETHEE, or
fuzzy VIKOR.
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