New q-Rung Orthopair Fuzzy Bonferroni Mean Dombi Operators and Their Application in Multiple Attribute Decision Making

Wei Yang,Yongfeng Pang

doi:10.1109/access.2020.2979780

Wei Yang, Yongfeng Pang

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https://doi.org/10.1109/access.2020.2979780

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Journal: IEEE Access	Publication Date: Jan 1, 2020
Citations: 22	License type: CC BY 4.0

Affiliation: Xi'an University of Architecture and Technology

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Some q-rung orthopair fuzzy Bonferroni mean Dombi aggregation operators have been developed based on the Bonferroni mean, Dombi T-norm and T-conorm in q-rung orthopair fuzzy environment. The q-rung orthopair fuzzy Bonferroni mean Dombi averaging (q-ROFBMDA) operator and the q-rung orthopair fuzzy geometric Bonferroni mean Dombi averaging (q-ROFGBMDA) operator are first developed. Then the q-rung orthopair fuzzy weighted Bonferroni mean Dombi averaging (q-ROFWBMDA) operator and the q-rung orthopair fuzzy weighted geometric Bonferroni mean Dombi averaging (q-ROFWGBMDA) operator have been developed. Based on the partitioned operation, the q-rung orthopair fuzzy partitioned Bonferroni mean Dombi averaging (q-ROFPBMDA) operator and the q-rung orthopair fuzzy partitioned geometric Bonferroni mean Dombi averaging (q-ROFPGBMDA) operator have been presented. Some desirable properties of the new aggregation operators have been studied. A new multiple attribute decision making method based on the q-ROFWBMDA (q-ROFWGBMDA) operator is proposed. Finally, a numerical example of new campus site selection has been presented to illustrate the new method.

Highlights

Q-rung orthopair fuzzy set is the extension of intuitionistic fuzzy set and Pythagorean fuzzy set [1], which was first developed by Yager [2]
Since q-rung orthopair fuzzy set is more flexible in evaluation process and Dombi is more flexible in aggregation, Bonferroni mean (BM) operator can consider the correlation of the arguments to be aggregated, we develop new aggregation operators based on the Dombi and BM operator in q-rung orthopair fuzzy environments to give some more powerful and flexible aggregation operators
In this paper, we develop some q-rung orthopair fuzzy Bonferroni mean Dombi aggregation operators based on the Bonferroni mean, Dombi t-norm and Dombi t-conorm

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Q-rung orthopair fuzzy set is the extension of intuitionistic fuzzy set and Pythagorean fuzzy set [1], which was first developed by Yager [2]. In q-rung orthopair fuzzy set, the sum of the qth power of the membership and the qth power of the nonmembership is not more than 1. The q-rung fuzzy set is more flexible, which has more applications than intuitionistic fuzzy set and Pythagorean fuzzy set. The q-rung fuzzy set has attracted broad attentions. By using the power mean operator, some q-rung orthopair fuzzy power mean operators have been developed [6], [7]. Q-rung orthopair fuzzy Maclaurin symmetric mean operator has been presented by Wei et al [8]. Some q-rung orthopair fuzzy Bonferroni mean operators

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