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
- uncertainty measure
- fuzzy extropy
- fuzzy higher-order extropy
- fuzzy hybrid extropy
- credibilistic extropy
Main Subjects
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