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Social and economic factors, such as education, employment, social support, income, and community safety, can directly affect how well and long we live. Under the presence of the above factors, we easily look at health decisions, afford medical care and housing, manage stress, and so on. In this analysis, we derive the Choquet-integral aggregation operators based on Hamacher t-norm and t-conorm for complex Atanassov intuitionistic fuzzy (CAIF) such as CAIF Choquet-integral Hamacher averaging (CAIFCIHA), CAIF Choquet-integral Hamacher ordered averaging (CAIFCIHOA), CAIF Choquet-integral Hamacher geometric (CAIFCIHG), CAIF Choquet-integral Hamacher ordered geometric (CAIFCIHOG) operators and exposed their properties. Additionally, we discover the Technique for Order Preference by Similarity to the Ideal Solution &#x201C;TOPSIS&#x201D; technique under the consideration of the above-derived theory. Moreover, it is very famous and interesting to note that various unpredicted factors such as road, diesel prices, weather, and traffic conditions affect the cost of transportation. Therefore, decision-makers deal with vague and unreliable information to estimate the cost of transportation. To evaluate the above problem, we select a transportation problem with CAIF parameters, and for its evaluation, a simple and well-known computational technique is derived and illustrated. Finally, we compared our derived results with some prevailing results to show the worth and reliability of the exposed approaches.

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Choquet-Integral Aggregation Operators Based on Hamacher t-norm and t-conorm for Complex Intuitionistic Fuzzy TOPSIS Technique to Deal with Socio-Economic Problems