(( cuts ))
: Well, i guess i missed the announcement, What was it about?
: (where are the reviews? did (s)he give a TOC (table of contents)?)
The TOC was not included in the announcement. Here is an excerpt
from the Preface, which describes the contents in narrative form:
"The plan of the essay is as follows: Chapter I provides some
motivational background, giving a brief review of the controversy
in the foundations of statistical inference, showing the way in
which fuzzy sets may enter the picture, while pointing out that
at least one difficulty encountered by the likelihood school of
statistical inference -- the paradoxes sometimes engendered by
marginalization by maximization -- may apply equally to the fuzzy
set theory, where this method of marginalization is commonly applied.
Chapter II puts forward a discussion of the philosophical
fundamentals underlying the theory -- of semantics,
measurement, phenomena, models, and probability. Chapter III
develops a non-Zadehian fuzzy-set theory of semantics, in which,
among others, the laws of excluded middle and contradiction
are restored. Chapter IV is an elaboration of the possibility
calculus in its application to inductive (statistical) inference.
Chapter V continues the elaboration of the possibility calculus,
as applied to deductive inference. Chapter VI addresses the
problem of decision analysis under uncertainty, and shows how the
possibility calculus may be applied. Chapter VII provides a
comparison of the possibilistic inference and decision theory
with the Bayesian. Finally, the essay is concluded in Chapter
VIII with an attempt to put the whole development in perspective."
The TOC itself is attached.
Email me if you want the complete announcement...
The publisher has sent the book to a variety of journals
for formal review. Additionally, one academician has contacted
me by email to inform me of his intention to prepare a review for a
prominent journal. I imagine reviews should therefore start
appearing in due course. Informal comments are included
with the announcement.
: (Now, back to some SERIOUS lurking) ;-)
Enjoy!
: -newt
Thank you for your interest in Fuzziness_and_Probability.
Regards,
S. F. Thomas
Here is the TOC:
+------------------------------------------------------------------
| FUZZINESS AND PROBABILITY
| -------------------------
| CHAPTER
| -------
| I. Motivational Background
| Controversy in Statistical Inference
| The Classical Specification
| The Bayesian Specification
| The Structural Approach
| The Likelihood Approach
| Likelihood as Fuzzy Set
| Data as Fuzzy Sets
| Anomalies of the Likelihood Calculus
| Limiting Cases
| Nuisance Parameters
|
| II. Philosophical Fundamentals
| A Philosophy of Semantics
| Philosophy of Measurement
| Phenomena, Models, and Probability
| Probability
| Phenomena and Morphology
| Models
| Probability Again
|
| III. Fuzzy Set Theory of Semantics
| Primitive Concepts
| Attributes
| Term Sets
| Propositions
| Compound Terms
| A Morphology for Language-use
| Postulates
| Calibrational Response
| Propositional Operators
| Rules of Conditional Response
| Measurement as a Special Case
| The Propositional Calculus
| The Fuzzy-Set Calculus
| Rules of Combination
| Properties of the Term-Set
| The Aristotelian Dictum
| Some Examples
| Crisp Terms
| Extension Principle
| Group Propositions
| Group Calibrational Propositions
| The Term Tuple
| Summary and Prologue
|
| IV. Possibilistic Inductive Inference
| Perceptional Inference
| Basic Notions -- Single-Speaker Propositions
| Group Propositions
| Truth Qualification
| Fuzzy Events and Probability
| Conceptional Inference
| Likelihood Calculus Revisited
| Quantification
| Combination of Evidence
|
| V. Possibilistic Deductive Inference
| Fundamental Concepts
| Material Implication
| Form vs. Content
| Quantification of Deductive Inference
|
| VI. Possibilistic Decision Analysis
| Single-Criterion Judgments
| Problem Formulation
| Approaches
| Possibilistic Approach
| Multi-Criterion Decision-Making
| Hierarchical Approach
| Vector Stimulus Approach
| Group Decision Problem
| Concluding Remarks
|
| VII. Bayesian vs Possibilistic Approaches
| Representation of Belief
| Representation of Preference
|
| VIII. Summary and Conclusion
| Summary
| Conclusion
|
+------------------------------------------------------------------