Fuzzy and random sets

Authors:
Hung T. Nguyen
Affiliations:
Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM 8003-8001, USA
Venue:
Fuzzy Sets and Systems
Year:
2005

Citing 4
Cited 4

Uncertainty, belief, and probability

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Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference

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An Introduction to Copulas (Springer Series in Statistics)

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Approximation techniques for the transformation of fuzzy sets into random sets

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A Development of Inclusion-degree-based Rough Fuzzy Random Sets

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On generalized fuzzy normed spaces and coincidence point theorems

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A Development of Inclusion-degree-based Rough Fuzzy Random Sets

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Abstract

The two distinct concepts of fuzzy and random sets coexist to form the basics for modeling perception-based information gathering processes in artificial intelligence. These processes, viewed as coarsening schemes, provide also justifications for various types of uncertainty measures such as belief functions and possibility measures.