Extension of multi-Moora method with some q-rung orthopair fuzzy Dombi prioritized weighted aggregation operators for multi-attribute decision making

Abstract

The Dombi operators provide a flexible structure with its adjustable parameter because of Dombi generalized structure. On the other hand, priority aggregation operators play an important role in expressing the importance level of alternatives and attributes. In this study, novel Dombi prioritized aggregations are developed on q-rung orthopair fuzzy sets (q-ROFSs). The q-ROFSs include many fuzzy sets with dynamically changing q parameters. q-ROFSs include intuitionistic fuzzy sets, Pythagorean fuzzy sets and Fermatean fuzzy sets according to value of q parameter. In this study, Dombi prioritized aggregation of q-ROFSs is presented. The operators introduced are q-ROFSs Dombi prioritized weighted averaging operator (q-ROFSDPWA) and q-ROFSs Dombi prioritized weighted geometric operator (q-ROFSDPWG). We also investigate some of the properties of these operators. The proposed operators are used in MULTIMOORA method. The proposed methods with new aggregation operators are analyzed according to the q parameter of q-ROFSs and Dombi parameter on numerical example and also compared with other existing studies. It is seen that novel q-ROFSDPWA and q-ROFSDPWG aggregations give reasonable and stable results for multiple criteria decision making problem.

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Acknowledgements

Supported by organization scientific research project of Eskisehir Technical University for project topic named “Using generalized fuzzy sets in multiple criteria decision making systems”. (Grant No: 20DRP041)

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Correspondence to Salih Berkan Aydemir.

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Aydemir, S.B., Yilmaz Gündüz, S. Extension of multi-Moora method with some q-rung orthopair fuzzy Dombi prioritized weighted aggregation operators for multi-attribute decision making. Soft Comput (2020). https://doi.org/10.1007/s00500-020-05091-4

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Keywords

  • q-rung orthopair fuzzy sets (q-ROFSs)
  • Dombi operations
  • Arithmetic averaging operators
  • Geometric averaging operators
  • Multiple attribute decision making
  • MULTIMOORA method