A New Approach to Group Decision-Making Method Based on TOPSIS Under Fuzzy Soft Environment

Serdar Enginoğlu; Samet Memiş; Faruk Karaaslan

EN

A New Approach to Group Decision-Making Method Based on TOPSIS Under Fuzzy Soft Environment

Abstract

TOPSIS, developed in 1981 by Hwang and Yoon, is one of the known multi-criteria decision-making (MCDM) methods. In 2015, the group decision-making method based on TOPSIS under fuzzy soft environment was defined and applied to a decision-making problem by Eraslan and Karaaslan. Recently, this method has been configured by Enginoğlu and Memiş via fuzzy parameterized fuzzy soft matrices (fpfs-matrices), faithfully to the original, because a more general form is needed for the method in the event that the parameters have uncertainties. However, the configured method has two drawbacks which affect its running time and the ranking order negatively. We, in this study, improve this method by removing the disadvantages. We then compare the running time of these algorithms. The results show that the new method outperforms it, in particular, a large number of data come into question. For example, the proposed method offers up to 97.7672% of time advantage for ten objects and 9000 parameters. Afterwards, we apply the new method to a performance-based value assignment to seven state-of-art filters used in image denoising, so that we can order them in terms of performance. Finally, we discuss the need for further research.

Keywords

Fuzzy sets,Soft sets,Soft decision-making,Soft matrices,fpfs-matrices

Supporting Institution

Çanakkale Onsekiz Mart University

Project Number

FBA-2018-1367

Thanks

This work was supported by the Office of Scientific Research Projects Coordination at Çanakkale Onsekiz Mart University, Grant number: FBA-2018-1367.

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Serdar Enginoğlu ^*
0000-0002-7188-9893
Türkiye

Samet Memiş
0000-0002-0958-5872
Türkiye

Faruk Karaaslan
Türkiye

Publication Date

December 31, 2019

Submission Date

December 7, 2019

Acceptance Date

December 24, 2019

Published in Issue

Year 2019 Volume: 8 Number: 2

IZ

https://izlik.org/JA73SM83AL

APA

Enginoğlu, S., Memiş, S., & Karaaslan, F. (2019). A New Approach to Group Decision-Making Method Based on TOPSIS Under Fuzzy Soft Environment. Journal of New Results in Science, 8(2), 42-52. https://izlik.org/JA73SM83AL

AMA

1.Enginoğlu S, Memiş S, Karaaslan F. A New Approach to Group Decision-Making Method Based on TOPSIS Under Fuzzy Soft Environment. JNRS. 2019;8(2):42-52. https://izlik.org/JA73SM83AL

Chicago

Enginoğlu, Serdar, Samet Memiş, and Faruk Karaaslan. 2019. “A New Approach to Group Decision-Making Method Based on TOPSIS Under Fuzzy Soft Environment”. Journal of New Results in Science 8 (2): 42-52. https://izlik.org/JA73SM83AL.

EndNote

Enginoğlu S, Memiş S, Karaaslan F (December 1, 2019) A New Approach to Group Decision-Making Method Based on TOPSIS Under Fuzzy Soft Environment. Journal of New Results in Science 8 2 42–52.

IEEE

[1]S. Enginoğlu, S. Memiş, and F. Karaaslan, “A New Approach to Group Decision-Making Method Based on TOPSIS Under Fuzzy Soft Environment”, JNRS, vol. 8, no. 2, pp. 42–52, Dec. 2019, [Online]. Available: https://izlik.org/JA73SM83AL

ISNAD

Enginoğlu, Serdar - Memiş, Samet - Karaaslan, Faruk. “A New Approach to Group Decision-Making Method Based on TOPSIS Under Fuzzy Soft Environment”. Journal of New Results in Science 8/2 (December 1, 2019): 42-52. https://izlik.org/JA73SM83AL.

JAMA

1.Enginoğlu S, Memiş S, Karaaslan F. A New Approach to Group Decision-Making Method Based on TOPSIS Under Fuzzy Soft Environment. JNRS. 2019;8:42–52.

MLA

Enginoğlu, Serdar, et al. “A New Approach to Group Decision-Making Method Based on TOPSIS Under Fuzzy Soft Environment”. Journal of New Results in Science, vol. 8, no. 2, Dec. 2019, pp. 42-52, https://izlik.org/JA73SM83AL.

Vancouver

1.Serdar Enginoğlu, Samet Memiş, Faruk Karaaslan. A New Approach to Group Decision-Making Method Based on TOPSIS Under Fuzzy Soft Environment. JNRS [Internet]. 2019 Dec. 1;8(2):42-5. Available from: https://izlik.org/JA73SM83AL