Study of temporal intuitionistic fuzzy metric space

Document Type : Research Paper

Author

Department of Mathematics, Institute for Excellence in higher Education, Bhopal , India

Abstract

In order to create a dynamic measure that describes distances between spatiotemporal points whose positions change
over time as well as between the data represented by these points,a temporal intuitionistic fuzzy metric space is created in this pa-per. The notions of temporal fuzzy t-norm, temporal fuzzy t-conorm, and temporal fuzzy negation which have not previously been discussed in the literature are defined, and some of their fun-damental characteristics are investigated, in order to define this new method.The idea that the degrees of nearness and non-nearness change with time is the basis for a novel definition of the concept of temporal intuitionistic fuzzy metric spaces. However, the basic
topological characteristics of the temporal intuitionistic fuzzy met-ric space are also looked at. We demonstrate how this new temporal metric space preserves the basic characteristics offered by both clas-sical and fuzzy metric spaces. As a result, a new, more flexible, and dynamic metric topology is created while maintaining the fundamental topological characteristics of fuzzy and intuitionistic fuzzy metric spaces.

Keywords

References

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Journal of Hyperstructures
Volume 12, Issue 1
2023
Pages 103-110

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