Extensions of Dombi Aggregation Operators for Decision Making under m-Polar Fuzzy Information
Joint Authors
Chammam, Wathek
Yaqoob, Naveed
Ali, Ghous
Akram, Muhammad
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-01
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
An m-polar fuzzy set is a powerful mathematical model to analyze multipolar, multiattribute, and multi-index data.
The m-polar fuzzy sets have appeared as a useful tool to portray uncertainty in multiattribute decision making.
The purpose of this article is to analyze the aggregation operators under the m-polar fuzzy environment with the help of Dombi norm operations.
In this article, we develop some averaging and geometric aggregation operators using Dombi t-norm and t-conorm to handle uncertainty in m-polar fuzzy (mF, henceforth) information, which are mF Dombi weighted averaging (mFDWA) operator, mF Dombi ordered weighted averaging (mFDOWA) operator, mF Dombi hybrid averaging (mFDHA) operator, mF Dombi weighted geometric (mFDWG) operator, mF Dombi weighted ordered geometric operator, and mF Dombi hybrid geometric (mFDHG) operator.
We investigate properties, namely, idempotency, monotonicity, and boundedness, for the proposed operators.
Moreover, we give an algorithm to solve multicriteria decision-making issues which involve mF information with mFDWA and mFDWG operators.
To prove the validity and feasibility of the proposed model, we solve two numerical examples with our proposed models and give comparison with mF-ELECTRE-I approach (Akram et al.
2019) and mF Hamacher aggregation operators (Waseem et al.
2019).
Finally, we check the effectiveness of the developed operators by a validity test.
American Psychological Association (APA)
Akram, Muhammad& Yaqoob, Naveed& Ali, Ghous& Chammam, Wathek. 2020. Extensions of Dombi Aggregation Operators for Decision Making under m-Polar Fuzzy Information. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-20.
https://search.emarefa.net/detail/BIM-1188056
Modern Language Association (MLA)
Akram, Muhammad…[et al.]. Extensions of Dombi Aggregation Operators for Decision Making under m-Polar Fuzzy Information. Journal of Mathematics No. 2020 (2020), pp.1-20.
https://search.emarefa.net/detail/BIM-1188056
American Medical Association (AMA)
Akram, Muhammad& Yaqoob, Naveed& Ali, Ghous& Chammam, Wathek. Extensions of Dombi Aggregation Operators for Decision Making under m-Polar Fuzzy Information. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-20.
https://search.emarefa.net/detail/BIM-1188056
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188056