On measures of fuzziness
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This article is published in Journal of Mathematical Analysis and Applications.The article was published on 1975-03-01 and is currently open access. It has received 149 citations till now.read more
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Pattern Recognition with Fuzzy Objective Function Algorithms
TL;DR: Books, as a source that may involve the facts, opinion, literature, religion, and many others are the great friends to join with, becomes what you need to get.
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ON THE MEASURE OF FUZZINESS AND NEGATION Part I: Membership in the Unit Interval
TL;DR: It is suggested that fuzziness can be related to the lack of distinction between a set and its negation and the concept of compatibility is used to develop linguistic measures of fuzziness.
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A survey of credibility theory
TL;DR: This paper provides a survey of credibility theory that is a new branch of mathematics for studying the behavior of fuzzy phenomena and some basic concepts and fundamental theorems are introduced, including credibility measure, fuzzy variable, membership function, credibility distribution, expected value, variance, critical value, entropy, distance, and credibility subadditivity theorem are introduced.
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Uncertainty measures for interval type-2 fuzzy sets
Dongrui Wu,Jerry M. Mendel +1 more
TL;DR: Formulas for computing the cardinality, fuzziness, variance and skewness of an IT2FS are derived and should be useful in IT2 fuzzy logic systems design using the principles of uncertainty, and in measuring the similarity between two IT2 FSs.
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A comparative study of ranking methods, similarity measures and uncertainty measures for interval type-2 fuzzy sets
Dongrui Wu,Jerry M. Mendel +1 more
TL;DR: A new ranking method and a new similarity measure for IT2 FSs are proposed and the results are useful in understanding the uncertainties associated with linguistic terms and hence how to use them effectively in survey design and linguistic information processing.
References
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Journal ArticleDOI
Probability measures of Fuzzy events
TL;DR: In probability theory, an event, A, is a member of a a-field, CY, of subsets of a sample space ~2, where CY is any collection of disjoint events.
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L-fuzzy sets
TL;DR: This paper explores the foundations of, generalizes, and continues the work of Zadeh in [I] and [2].
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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.
Book
Abstraction and pattern classification
TL;DR: A general framework for the treatment of pattern-recognition problems is discussed, including the notion of a 'fuzzy' set and how this may be employed in a sequential experimental procedure to ascertain whether a symbol is a member of a particular set or not.
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Abstraction and pattern classification
TL;DR: In this article, a general framework for the treatment of pattern recognition problems is discussed, in which the notion of a "fuzzy" set is introduced and used to determine whether a symbol is a member of a particular set or not.