Journal ArticleDOI
Measuring tranquility and anxiety in decision making: an application of fuzzy sets
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Using some concepts from fuzzy set theory, a measure for the anxiety induced by a given decision function is suggested and some implications of this measure are investigated.Abstract:
The selection of one alternative from a set of alternatives as the one to implement is in general an anxiety provoking situation. Using some concepts from fuzzy set theory described in the paper, a measure for the anxiety induced by a given decision function is suggested. Some implications of this measure are investigated.read more
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Book
Ignorance and Uncertainty: Emerging Paradigms
TL;DR: In this article, a variety of approaches to the problem of indeterminacies in human thought and behavior are discussed, including cognitive psychology, social psychology, organizational studies, sociology, and social anthroplogy.
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Entropy and Specificity in a Mathematical Theory of Evidence
TL;DR: The concepts of entropy and specificity are introduced in the framework of Shafer’s theory of evidence and become complementary aspects in the indication of the quality of evidence.
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A new approach to the summarization of data
TL;DR: A new approach to the summarization of data based upon the theory of fuzzy subsets allows for a linguistic summary of the data and is useful for both numeric and nonnumeric data.
Journal ArticleDOI
Measures of uncertainty and information based on possibility distributions
Masahiko Higashi,George J. Klir +1 more
TL;DR: The proposed measures of U-uncertainty and conditional U-UNcertainty provide a foundation for developing an alternative theory of information, one based on possibility theory rather than probability, as well as avoiding a current controversy in possibility theory.
Journal ArticleDOI
Measuring fuzzy uncertainty
Nikhil R. Pal,James C. Bezdek +1 more
TL;DR: This paper reviews several well known measures of fuzziness for discrete fuzzy sets, then new multiplicative and additive classes are defined, and it is shown that each class satisfies five well-known axioms for fuzziness measures.
References
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Journal ArticleDOI
Outline of a New Approach to the Analysis of Complex Systems and Decision Processes
TL;DR: By relying on the use of linguistic variables and fuzzy algorithms, the approach provides an approximate and yet effective means of describing the behavior of systems which are too complex or too ill-defined to admit of precise mathematical analysis.
Book
Decision-making in a fuzzy environment
Richard Bellman,Lotfi A. Zadeh +1 more
TL;DR: A reverse-flow technique is described for the solution of a functional equation arising in connection with a decision process in which the termination time is defined implicitly by the condition that the process stops when the system under control enters a specified set of states in its state space.
Journal ArticleDOI
Similarity relations and fuzzy orderings
TL;DR: An extended version of Szpilrajn's theorem is proved and various properties of similarity relations and fuzzy orderings are investigated and, as an illustration, a fuzzy preordering is investigated which is reflexive and antisymmetric.
Journal ArticleDOI
A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory
A. De Luca,Settimo Termini +1 more
TL;DR: A functional defined on the class of generalized characteristic functions (fuzzy sets), called “entropy≓, is introduced using no probabilistic concepts in order to obtain a global measure of the indefiniteness connected with the situations described by fuzzy sets.