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Fuzzy entropy and conditioning
Information Sciences, 1986A new nonprobabilistic entropy measure is introduced in the context of fuzzy sets or messages. Fuzzy units, or fits, replace bits in a new framework of fuzzy information theory. An appropriate measure of entropy or fuzziness of messages is shown to be a simple ratio of distances: the distances between the fuzzy message and its nearest and farthest ...
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Conditional fuzzy entropy of fuzzy dynamical systems
Fuzzy Sets and Systems, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ke-song Yan, Fan-ping Zeng
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On the entropy of fuzzy measures
IEEE Transactions on Fuzzy Systems, 2000Fuzzy measures provides a structure for modeling the knowledge available about variables whose values are unknown and uncertain. A large class of different types of uncertainty can be represented in this framework. In this work, we provide a measure of entropy that can be used to calculate the amount of uncertainty associated with a fuzzy measure.
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SYNTHESIS WITH RESPECT TO FUZZY ENTROPY
Kybernetes, 1983Summary—A synthesis process of a multiple description is defined on a lattice of fuzzy sets which differs from the usual one. Connections between these lattices are stated. Mathematical definitions are correlated with concepts of decision and system theory.
Di Nola, Antonio, Ventre, Aldo G. S.
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Fuzzy Partition Entropies and Entropy Constrained Fuzzy Clustering Algorithms
Journal of Intelligent & Fuzzy Systems, 1997This article introduces three families of fuzzy partition entropies and investigates their relationship with Bezdek's partition entropy. Bezdek's partition entropy is interpreted as the limit of partition entropies of order a, partition entropies of order β, and R-norm partition entropies introduced in this study.
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Type-2 fuzzy entropy sets [PDF]
IEEE Transactions on Fuzzy Systems, 2017 The final goal of this study is to adapt the concept of fuzzy entropy of De Luca and Termini to deal with type-2 fuzzy sets. We denote this concept type-2 fuzzy entropy set. However, the construction of the notion of entropy measure on an infinite set, such us $[0,1]$ , is not effortless.
Humberto Bustince +2 more
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Fuzzy Measures: Collectors of Entropies
2007In the fuzzy setting we define a collector of entropies, which allows us to consider the reliability of observers. This leads to a system of functional equations. We are able to find the general solution of the system for collectors, which are compatible with a law of the kind "Inf" in [2]. Finally we give a class of solutions for a collector for which
VIVONA, Doretta, M. Divari
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Entropy-based fuzzy clustering and fuzzy modeling
Fuzzy Sets and Systems, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yao, J., Dash, M., Tan, S.T., Liu, H.
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Assessing Potential of Organizations with Fuzzy Entropy
Operations Research Forum, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Manish Aggarwal +4 more
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On the Entropy of Intuitionistic Fuzzy Events
International Conference on Computational Intelligence for Modelling, Control and Automation and International Conference on Intelligent Agents, Web Technologies and Internet Commerce (CIMCA-IAWTIC'06), 2006This paper introduces the notion of entropy of intuitionistic fuzzy events. Based on the concept of probability of events in the intuitionistic fuzzy setting, we propose different entropy definitions. These entropies constitute a generalization of the corresponding definitions for fuzzy events.
Ioannis K. Vlachos, George D. Sergiadis
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