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Some Results on Wijsman Ideal Convergence in Intuitionistic Fuzzy Metric Spaces

بعض النتائج على التقارب المثالي Wijsman في المساحات المترية الضبابية الحدسية
Authors: Ayhan Eşi; Vakeel A. Khan; Mobeen Ahmad; Mollah Rezaul Alam;

Some Results on Wijsman Ideal Convergence in Intuitionistic Fuzzy Metric Spaces

Abstract

In the present work, we study and extend the notion of Wijsman J –convergence and Wijsman J ∗ –convergence for the sequence of closed sets in a more general setting, i.e., in the intuitionistic fuzzy metric spaces (briefly, IFMS). Furthermore, we also examine the concept of Wijsman J ∗ –Cauchy and J –Cauchy sequence in the intuitionistic fuzzy metric space and observe some properties.

Keywords

Statistics and Probability, Metric (unit), Wijsman convergence, Korovkın, Economics, Social Sciences, Epistemology, Management Science and Operations Research, Sequences, Mathematical analysis, Decision Sciences, Fixed Point Theorems in Metric Spaces, QA1-939, FOS: Mathematics, Cauchy distribution, Genetics, Hyperspaces in general topology, Ideal (ethics), Biology, Economic growth, intuitionistic fuzzy metric spaces, Algebra over a field, Fuzzy topology, Cauchy sequence, Statistical convergence, Statistical Convergence in Approximation Theory and Functional Analysis, Application of Soft Set Theory in Decision Making, Pure mathematics, Discrete mathematics, Ideal and statistical convergence, FOS: Philosophy, ethics and religion, Philosophy, Operations management, Ideal Convergence, Fuzzy Sets, Interval-Valued Fuzzy Sets, Combinatorics, FOS: Biological sciences, Physical Sciences, Convergence (economics), Geometry and Topology, Fuzzy Metric Spaces, Metric space, Mathematics, Sequence (biology)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
gold