Dombi Hamy Mean Operators Based on Complex Intuitionistic Fuzzy Uncertainty and Their Application in Multi-Attribute Decision-Making

Tahir Mahmood and Zeeshan Ali ()
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Tahir Mahmood: International Islamic University Islamabad, Department of Mathematics and Statistics
Zeeshan Ali: International Islamic University Islamabad, Department of Mathematics and Statistics

Chapter Chapter 13 in Fuzzy Optimization, Decision-making and Operations Research, 2023, pp 257-280 from Springer

Abstract: Abstract To derive the best preference from the collection of preferences, decision-making information is one of the most important and dominant techniques to evaluate most problems in real-life dilemmas. Additionally, Hamy mean (HM) information is also used for aggregating the bundled information into a singleton set, computed based on algebraic laws. The main influence of this theory is to propose Dombi operational laws for complex intuitionistic fuzzy (CIF) information and try to construct the theory of HM information based on Dombi t-norm and t-conorm under the consideration of CIF information, called CIF Dombi HM (CIFDHM), CIF weighted Dombi HM (CIFWDHM), CIF Dombi dual HM (CIFDDHM), and CIF weighted Dombi dual HM (CIFWDDHM) operators. Further, we evaluated some valuable properties and results for the presented information in the investigated analysis. Moreover, MADM “multi-attribute decision-making” information is utilized in this manuscript based on pioneered operators and given some examples to justify the worth and dominancy of the evaluated information. Finally, we compared the evaluated information with some other old or prevailing information to enhance the quality of the derived operators.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-35668-1_13

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DOI: 10.1007/978-3-031-35668-1_13

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