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The Signed Distance Measure in Fuzzy Statistical Analysis - Theoretical, Empirical and Programming Advances (Paperback, 1st ed. 2021)
Loot Price: R3,707
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The Signed Distance Measure in Fuzzy Statistical Analysis - Theoretical, Empirical and Programming Advances (Paperback, 1st ed. 2021)
Series: Fuzzy Management Methods
Expected to ship within 10 - 15 working days
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The main focus of this book is on presenting advances in fuzzy
statistics, and on proposing a methodology for testing hypotheses
in the fuzzy environment based on the estimation of fuzzy
confidence intervals, a context in which not only the data but also
the hypotheses are considered to be fuzzy. The proposed method for
estimating these intervals is based on the likelihood method and
employs the bootstrap technique. A new metric generalizing the
signed distance measure is also developed. In turn, the book
presents two conceptually diverse applications in which defended
intervals play a role: one is a novel methodology for evaluating
linguistic questionnaires developed at the global and individual
levels; the other is an extension of the multi-ways analysis of
variance to the space of fuzzy sets. To illustrate these
approaches, the book presents several empirical and
simulation-based studies with synthetic and real data sets. In
closing, it presents a coherent R package called "FuzzySTs" which
covers all the previously mentioned concepts with full
documentation and selected use cases. Given its scope, the book
will be of interest to all researchers whose work involves advanced
fuzzy statistical methods.
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