Bipolar Fuzzy Hamacher Aggregation Operators in Multiple Attribute Decision Making

Guiwu Wei; Fuad E. Alsaadi; Tasawar Hayat; Ahmed Alsaedi

doi:10.1007/s40815-017-0338-6

Bipolar Fuzzy Hamacher Aggregation Operators in Multiple Attribute Decision Making

Guiwu Wei
, Fuad E. Alsaadi
, Tasawar Hayat
, Ahmed Alsaedi

Sichuan Normal University
Faculty of Engineering, King Abdulaziz University
Quaid-I-Azam University
Faculty of Sciences, King Abdulaziz University

Research output: Contribution to journal › Article › peer-review

186 Scopus citations

Abstract

In this paper, we have investigated the multiple attribute decision-making problems with bipolar fuzzy information. Motivated by the Hamacher operations, we have proposed bipolar fuzzy Hamacher weighted average operator, bipolar fuzzy Hamacher ordered weighted average operator, bipolar fuzzy Hamacher hybrid average operator, bipolar fuzzy Hamacher weighted geometric operator, bipolar fuzzy Hamacher ordered weighted geometric operator, bipolar fuzzy Hamacher hybrid geometric operator. We investigate the characteristics and special cases of these operators. Then, we have utilized these operators to develop some approaches to solve the bipolar fuzzy multiple attribute decision-making problems. Finally, a practical example for enterprise resource planning system selection is given to verify the developed approach and to demonstrate its practicality and effectiveness.

Original language	English
Pages (from-to)	1-12
Number of pages	12
Journal	International Journal of Fuzzy Systems
Volume	20
Issue number	1
DOIs	https://doi.org/10.1007/s40815-017-0338-6
State	Published - 1 Jan 2018
Externally published	Yes

Keywords

Bipolar fuzzy Hamacher hybrid average (PFHHA) operator
Bipolar fuzzy Hamacher hybrid geometric (PFHHG) operator
Bipolar fuzzy set
Hamacher aggregation
Multiple attribute decision making (MADM)

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10.1007/s40815-017-0338-6

Cite this

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title = "Bipolar Fuzzy Hamacher Aggregation Operators in Multiple Attribute Decision Making",

abstract = "In this paper, we have investigated the multiple attribute decision-making problems with bipolar fuzzy information. Motivated by the Hamacher operations, we have proposed bipolar fuzzy Hamacher weighted average operator, bipolar fuzzy Hamacher ordered weighted average operator, bipolar fuzzy Hamacher hybrid average operator, bipolar fuzzy Hamacher weighted geometric operator, bipolar fuzzy Hamacher ordered weighted geometric operator, bipolar fuzzy Hamacher hybrid geometric operator. We investigate the characteristics and special cases of these operators. Then, we have utilized these operators to develop some approaches to solve the bipolar fuzzy multiple attribute decision-making problems. Finally, a practical example for enterprise resource planning system selection is given to verify the developed approach and to demonstrate its practicality and effectiveness.",

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AB - In this paper, we have investigated the multiple attribute decision-making problems with bipolar fuzzy information. Motivated by the Hamacher operations, we have proposed bipolar fuzzy Hamacher weighted average operator, bipolar fuzzy Hamacher ordered weighted average operator, bipolar fuzzy Hamacher hybrid average operator, bipolar fuzzy Hamacher weighted geometric operator, bipolar fuzzy Hamacher ordered weighted geometric operator, bipolar fuzzy Hamacher hybrid geometric operator. We investigate the characteristics and special cases of these operators. Then, we have utilized these operators to develop some approaches to solve the bipolar fuzzy multiple attribute decision-making problems. Finally, a practical example for enterprise resource planning system selection is given to verify the developed approach and to demonstrate its practicality and effectiveness.

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Bipolar Fuzzy Hamacher Aggregation Operators in Multiple Attribute Decision Making

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Keywords

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