Next Article in Journal
Applying Genetic Programming with Similar Bug Fix Information to Automatic Fault Repair
Next Article in Special Issue
Models for Green Supplier Selection with Some 2-Tuple Linguistic Neutrosophic Number Bonferroni Mean Operators
Previous Article in Journal
Anti-3D Weapon Model Detection for Safe 3D Printing Based on Convolutional Neural Networks and D2 Shape Distribution
Article Menu
Issue 4 (April) cover image

Export Article

Open AccessArticle
Symmetry 2018, 10(4), 91; https://doi.org/10.3390/sym10040091

An Extended Step-Wise Weight Assessment Ratio Analysis with Symmetric Interval Type-2 Fuzzy Sets for Determining the Subjective Weights of Criteria in Multi-Criteria Decision-Making Problems

1
Department of Industrial Management, Faculty of Management and Accounting, Allameh Tabataba’i University, Tehran 1489684511, Iran
2
Department of Construction Management and Real Estate, Vilnius Gediminas Technical University, Sauletekio al. 11, LT-10223 Vilnius, Lithuania
*
Author to whom correspondence should be addressed.
Received: 19 March 2018 / Revised: 28 March 2018 / Accepted: 30 March 2018 / Published: 31 March 2018
(This article belongs to the Special Issue Solution Models based on Symmetric and Asymmetric Information)
View Full-Text   |   Download PDF [6945 KB, uploaded 3 May 2018]   |  

Abstract

Determination of subjective weights, which are based on the opinions and preferences of decision-makers, is one of the most important matters in the process of multi-criteria decision-making (MCDM). Step-wise Weight Assessment Ratio Analysis (SWARA) is an efficient method for obtaining the subjective weights of criteria in the MCDM problems. On the other hand, decision-makers may express their opinions with a degree of uncertainty. Using the symmetric interval type-2 fuzzy sets enables us to not only capture the uncertainty of information flexibly but also to perform computations simply. In this paper, we propose an extended SWARA method with symmetric interval type-2 fuzzy sets to determine the weights of criteria based on the opinions of a group of decision-makers. The weights determined by the proposed approach involve the uncertainty of decision-makers’ preferences and the symmetric form of the weights makes them more interpretable. To show the procedure of the proposed approach, it is used to determine the importance of intellectual capital dimensions and components in a company. The results show that the proposed approach is efficient in determining the subjective weights of criteria and capturing the uncertainty of information. View Full-Text
Keywords: multi-criteria decision-making (MCDM); group decision-making; interval type-2 fuzzy set (IT2FS); subjective weights; criteria weights; Step-wise Weight Assessment Ratio Analysis (SWARA) multi-criteria decision-making (MCDM); group decision-making; interval type-2 fuzzy set (IT2FS); subjective weights; criteria weights; Step-wise Weight Assessment Ratio Analysis (SWARA)
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Keshavarz-Ghorabaee, M.; Amiri, M.; Zavadskas, E.K.; Turskis, Z.; Antucheviciene, J. An Extended Step-Wise Weight Assessment Ratio Analysis with Symmetric Interval Type-2 Fuzzy Sets for Determining the Subjective Weights of Criteria in Multi-Criteria Decision-Making Problems. Symmetry 2018, 10, 91.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Symmetry EISSN 2073-8994 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top