A New Approach to the Criteria-Weighted Fuzzy Soft Max-Min Decision-Making Method and Its Application to a Performance-Based Value Assignment Problem

Serdar Enginoğlu; Samet Memiş

EN

A New Approach to the Criteria-Weighted Fuzzy Soft Max-Min Decision-Making Method and Its Application to a Performance-Based Value Assignment Problem

Abstract

Recently, the criteria-weighted fuzzy soft max-min decision-making (WFSMmDM) method provided in [Razak, S. A., Mohamad, D., A decision making method using fuzzy soft sets, Malaysian Journal of Fundamental and Applied Sciences, 2013, 9(2), 99-104] has been configured to operate in the fuzzy parameterized fuzzy soft matrices (fpfs-matrices) space by Enginoğlu and Memiş [A configuration of some soft decision-making algorithms via fpfs-matrices, Cumhuriyet Science Journal, 2018, 39(4), 871-881] faithfully to the original. Even though this configured method, which is denoted by RM13 and constructed by and-product/or-product (RM13a/RM13o), is useful in soft decision-making, it is of great importance to improve the method in terms of running time and complexity when processing a large number of data. In this study, to improve WFSMmDM, we propose two algorithms, denoted by EM20a and EM20o. Furthermore, we prove that EM20a is equivalent to RM13a. Thereafter, we compare the running time of these algorithms. The results show that EM20a and EM20o outperform RM13a and RM13o, respectively, in any number of data. We then apply EM20o to the problem of performance-based value assignment concerning seven filters used in image denoising. Besides, we compare the proposed two methods’ performance ranking with that of eight state-of-art soft decision-making methods. Finally, we provide the conclusive remarks and some suggestions 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

The authors thank Dr Uğur Erkan for technical support.

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

Publication Date

May 30, 2020

Submission Date

March 25, 2020

Acceptance Date

April 18, 2020

Published in Issue

Year 2020 Volume: 9 Number: 1

IZ

https://izlik.org/JA23WT58CR

APA

Enginoğlu, S., & Memiş, S. (2020). A New Approach to the Criteria-Weighted Fuzzy Soft Max-Min Decision-Making Method and Its Application to a Performance-Based Value Assignment Problem. Journal of New Results in Science, 9(1), 19-36. https://izlik.org/JA23WT58CR

AMA

1.Enginoğlu S, Memiş S. A New Approach to the Criteria-Weighted Fuzzy Soft Max-Min Decision-Making Method and Its Application to a Performance-Based Value Assignment Problem. JNRS. 2020;9(1):19-36. https://izlik.org/JA23WT58CR

Chicago

Enginoğlu, Serdar, and Samet Memiş. 2020. “A New Approach to the Criteria-Weighted Fuzzy Soft Max-Min Decision-Making Method and Its Application to a Performance-Based Value Assignment Problem”. Journal of New Results in Science 9 (1): 19-36. https://izlik.org/JA23WT58CR.

EndNote

Enginoğlu S, Memiş S (May 1, 2020) A New Approach to the Criteria-Weighted Fuzzy Soft Max-Min Decision-Making Method and Its Application to a Performance-Based Value Assignment Problem. Journal of New Results in Science 9 1 19–36.

IEEE

[1]S. Enginoğlu and S. Memiş, “A New Approach to the Criteria-Weighted Fuzzy Soft Max-Min Decision-Making Method and Its Application to a Performance-Based Value Assignment Problem”, JNRS, vol. 9, no. 1, pp. 19–36, May 2020, [Online]. Available: https://izlik.org/JA23WT58CR

ISNAD

Enginoğlu, Serdar - Memiş, Samet. “A New Approach to the Criteria-Weighted Fuzzy Soft Max-Min Decision-Making Method and Its Application to a Performance-Based Value Assignment Problem”. Journal of New Results in Science 9/1 (May 1, 2020): 19-36. https://izlik.org/JA23WT58CR.

JAMA

1.Enginoğlu S, Memiş S. A New Approach to the Criteria-Weighted Fuzzy Soft Max-Min Decision-Making Method and Its Application to a Performance-Based Value Assignment Problem. JNRS. 2020;9:19–36.

MLA

Enginoğlu, Serdar, and Samet Memiş. “A New Approach to the Criteria-Weighted Fuzzy Soft Max-Min Decision-Making Method and Its Application to a Performance-Based Value Assignment Problem”. Journal of New Results in Science, vol. 9, no. 1, May 2020, pp. 19-36, https://izlik.org/JA23WT58CR.

Vancouver

1.Serdar Enginoğlu, Samet Memiş. A New Approach to the Criteria-Weighted Fuzzy Soft Max-Min Decision-Making Method and Its Application to a Performance-Based Value Assignment Problem. JNRS [Internet]. 2020 May 1;9(1):19-36. Available from: https://izlik.org/JA23WT58CR