Multi-granulation approximation spaces via ideals and their applications
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The target of this article is to extend five styles of single-granulation approximation spaces to multi-granulation approximation spaces utilizing ideals. We discuss the main properties of the deduced approximation spaces and clarify that these spaces shrink the boundary regions and improve the accuracy values. The submitted definitions is more accurate than some already defined definitions of approximation spaces. A comparison of these methods with the prior ones was also done, demonstrating that the current study is more generic. At the end of this work, we present an applicable example in the field of Chemistry by using the current methodologies to interpret the applications of our definitions in decision making problems.
Abstract
The target of this article is to extend five styles of single-granulation approximation spaces to multi-granulation approximation spaces utilizing ideals. We discuss the main properties of the deduced approximation spaces and clarify that these spaces shrink the boundary regions and improve the accuracy values. The submitted definitions is more accurate than some already defined definitions of approximation spaces. A comparison of these methods with the prior ones was also done, demonstrating that the current study is more generic. At the end of this work, we present an applicable example in the field of Chemistry by using the current methodologies to interpret the applications of our definitions in decision making problems.