Journal of Scientific Research and Advances
This article is © J. Kumar et al. www.jsciresadv.weebly.com J. Sci. Res. Adv. 2015, 2(3), 125-130 | 125
TOPSIS and VIKOR approaches to machine tool selection
Jitendra Kumar
1*
, Tarun Soota
2
, Ganga Sagar Singh
1
Cite this article: J. Sci. Res. Adv. Vol. 2, No. 3, 2015, 125-130.
5
This paper mainly focuses to compare the different multiple criteria decision making (MCDM) methods
such as TOPSIS and VIKOR Method for selection of alternative industrial welding machine. Both the
methods are based on an aggregating function that represents closeness to the ideal solution. VIKOR
method is based on linear normalization whereas TOPSIS method used vector normalization to eliminate
the units of criterion functions. A solution obtained by TOPSIS method has the shortest distance from the 10
ideal one and farthest from the negative ideal solution. VIKOR method helps to determine a compromise
solution that gives a maximum group utility for the majority and minimum for opponents. In this paper,
rank obtained by TOPSIS and VIKOR are compared by the help of SDI (statistical design institute)
software tool.SDI tool software has also been used for obtaining the results and thus the result obtained is
being compared with the result of TOPSIS and VIKOR. The correlation coefficient was calculated with 15
the help of MINITAB software to measure the rank coefficient between VIKOR and TOPSIS.
Introduction
Decision-making is a logical human judgment process for
identifying and choosing alternatives based on the values and 20
preferences of the decision maker that mostly applied in the
managerial level of the concerned department of the organization.
Recently, decision-making has gained immense popularity in
industries because of their global competitiveness and to survive
successfully in respective market place. Therefore, decision- 25
making plays a vital role especially in purchase department for
reducing material costs, minimizing production time as well as
improving the quality of product or service. But, in today’s real
life problems, decision-makers generally face lot of confusions,
ambiguity due to the involvement of uncertainty and subjectivity 30
in complex evaluating criterions of alternatives. To deal such
kind of vagueness in human thought the title ‘Decision-Making in
Fuzzy Environment’ has focused into the emerging area of
research associated with decision sciences. In order to tackle such
kind of problems, Rao R.V. [1] introduced fuzzy sets contributed 35
to the field of MCDM and called fuzzy Multi-Criteria Decision
Making (FMCDM) approach. Today
’
s, it has been observed that,
FMCDM has gained immense popularity in the real life
applications. Zavadskas and Kaklauskas [2] developed a method
of multiple criteria complex proportional assessment of projects 40
for determining the priority and the utility degree of alternatives.
In the period of 1996–2011, Lithuanian as well as foreign
scientists has been applying the original or expanded method for
solving different engineering as well as management multi-
attribute problems. Usual crisp TOPSIS as developed by Hwang 45
and Yoon [3] and fuzzy TOPSIS has been mostly applied in
construction management for ranking of construction
technological alternatives, selecting of resource-saving decisions,
accepting other technological or facility management decisions.
Yen and Chang [4] apply a new fuzzy multi criteria decision 50
making approach for evaluating decision alternatives involving
subjective judgments made by a group of decision makers was
presented. Jakimavicius and Burinskiene [5] have evaluated road
design and transport systems. In some papers the application of
extended TOPSIS has been analyzed by Zavadskas et al.[6] the 55
methodology for measuring the accuracy of determining the
relative significance of alternatives as a function of the criteria
values was developed Attempts using extended TOPSIS method
with different distance approaches were published,
Opricovic [7-9] was developed Compromise ranking method 60
VIKOR .The present method was compared with TOPSIS
methods by Opricovic and Tzeng [8]. According to Opricovic and
Tzeng, the values normalized by vector normalization and
applied in TOPSIS may depend on the evaluation unit. Moreover,
these two methods introduce different aggregating functions for 65
ranking. Therefore, the authors of the current paper also applied
the VIKOR method for ranking redevelopment alternatives of
derelict buildings Antucheviciene and Zavadskas [10]. The
VIKOR-F method has been developed to solve fuzzy multi
criteria problem with conflicting and no commensurable criteria 70
Opricovic [9]. Keeping this in mind, this paper introduces
innovative decision methodologies for an evaluation cum
selection policy analysis, based on theory of multi-criteria
decision-making-tools theory. However, combination of VIKOR
with some other MCDM methods has been more often applied 75
and handling of a proper MCDM technique has been discussed.
Selection of proper methods considering their advantages and
disadvantages in qualitative manner was analyzed by Ginevicius
and Zubrecovas [11, 12] .TOPSIS and VIKOR were applied for
evaluating of environment of enterprises by Ginevicius et al.[13] . 80
The TOPSIS and VIKOR methods have been used in the
literature as multi criteria tools in selection among various
alternatives considering multiple criteria by Rao [14] and
Zammori et al. [15].