A Dual Measure of Fuzzy Entropy: Fuzzy Extropy

Document Type : Research Paper

Authors

1 NIT Durgapur, INDIA

2 NIT Durgapur

Abstract

In this paper, we introduce a new concept of fuzzy extropy measure, which can help to measure any system's uncertainty or fuzziness in parallel to fuzzy entropy. Fuzzy extropy can be considered as a dual concept of fuzzy entropy. Additionally, we provide ideas for higher-order fuzzy extropy and hybrid fuzzy extropy. Then, we introduce concepts of credibilistic extropy for both discrete and continuous fuzzy variables. Furthermore, we have provided examples of these concepts and compared the extropy results with existing fuzzy entropy results. Finally, the validation through simulation studies offers a visual representation of extropy parameters and density distributions, providing empirical insights into the proposed measures' behavior and enhancing their credibility and understanding.

Keywords

Main Subjects

References

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Iranian Journal of Fuzzy Systems
Volume 21, Issue 5
September and October 2024
Pages 71-88

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