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A new decision-making model using complex intuitionistic fuzzy Hamacher aggregation operators

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Abstract

Aggregation operators are the standard mathematical tool for the combination of several inputs into one unique output. This paper presents some aggregation operators for complex intuitionistic fuzzy (CIF) information. Complex intuitionistic fuzzy set (CIFS) theory has a large ability to capture vagueness since it can represent the complete specifications of problems with both intuitionistic uncertainty and periodicity. We introduce the CIF Hamacher weighted averaging (CIFHWA) operator, CIF Hamacher ordered weighted averaging (CIFHOWA) operator, CIF Hamacher weighted geometric (CIFHWG) operator and CIF Hamacher ordered weighted geometric (CIFHOWG) operator. We bring to light some remarkable properties of these operators and explicitly state some noteworthy special cases. Moreover, we contribute to the advancement of multi-attribute decision-making (MADM) with a novel proposal of an algorithm in the CIF environment. Furthermore, we consider and solve a MADM problem that finds the best source for generation of electricity with the aid of the proposed operators, thus proving their usefulness for the purpose of decision-making. Finally, we check the effectiveness of these operators by a validity test.

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Acknowledgements

Our work is sponsored by the National Natural Science Foundation of China (No. 62006155).

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan

    Muhammad Akram & Aqsa Sattar

  2. School of Information Science and Engineering, Shaoguan University, Shaoguan, China

    Xindong Peng

Authors
  1. Muhammad Akram
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  2. Xindong Peng
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  3. Aqsa Sattar
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Correspondence to Xindong Peng.

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Akram, M., Peng, X. & Sattar, A. A new decision-making model using complex intuitionistic fuzzy Hamacher aggregation operators. Soft Comput 25, 7059–7086 (2021). https://doi.org/10.1007/s00500-021-05658-9

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