<p>Industrialization in developing or establishing countries is a difficult and spirited aspect of social transformation, economic growth, and poverty reduction. The term “Industrialization” is particularly used for the procedure of the economic transformation from primarily agricultural to one based on the manufacturing of goods. In developing or establishing countries, it often involves developing industries, increasing factory-based employment, and building infrastructure. This paper develops the model of circular spherical fuzzy 2-tuple linguistic sets and also describes their special cases and the limitations of the special cases. Moreover, we construct the Hamacher operational laws for circular spherical fuzzy 2-tuple linguistic values, which are used for evaluation of the “power aggregation operators”, called power averaging operators and power geometric operators for circular spherical fuzzy 2-tuple linguistic sets. Moreover, we discuss the special cases of the proposed theory and also describe the limitations of the existing models. Further, we also check the properties of the proposed theory and diagnose the model of the “Multi-Attributive Border Approximation Area Comparison (MABAC)” technique and the model of “Multi-Attribute Decision-Making” for circular spherical fuzzy 2-tuple linguistic sets. Finally, we illustrate some numerical examples for the assessments of the comparison among proposed theories as well as existing information to state the art of the invented models.</p>

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Industrialization in development countries based on the MABAC method and Hamacher power aggregation operators for circular spherical fuzzy 2-tuple linguistic information

  • Zeeshan Ali,
  • Miin-Shen Yang

摘要

Industrialization in developing or establishing countries is a difficult and spirited aspect of social transformation, economic growth, and poverty reduction. The term “Industrialization” is particularly used for the procedure of the economic transformation from primarily agricultural to one based on the manufacturing of goods. In developing or establishing countries, it often involves developing industries, increasing factory-based employment, and building infrastructure. This paper develops the model of circular spherical fuzzy 2-tuple linguistic sets and also describes their special cases and the limitations of the special cases. Moreover, we construct the Hamacher operational laws for circular spherical fuzzy 2-tuple linguistic values, which are used for evaluation of the “power aggregation operators”, called power averaging operators and power geometric operators for circular spherical fuzzy 2-tuple linguistic sets. Moreover, we discuss the special cases of the proposed theory and also describe the limitations of the existing models. Further, we also check the properties of the proposed theory and diagnose the model of the “Multi-Attributive Border Approximation Area Comparison (MABAC)” technique and the model of “Multi-Attribute Decision-Making” for circular spherical fuzzy 2-tuple linguistic sets. Finally, we illustrate some numerical examples for the assessments of the comparison among proposed theories as well as existing information to state the art of the invented models.