Constructing membership functions using statistical data
Fuzzy Sets and Systems
On the concept of possibility-probability consistency
Fuzzy Sets and Systems
The expected value of a fuzzy number
Fuzzy Sets and Systems
Why triangular membership functions?
Fuzzy Sets and Systems
On a canonical representation of fuzzy numbers
Fuzzy Sets and Systems
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Fuzzy Sets and Systems
Canonical representations of discrete fuzzy numbers
Fuzzy Sets and Systems
Information Sciences—Informatics and Computer Science: An International Journal
Temporal granulation and its application to signal analysis
Information Sciences—Informatics and Computer Science: An International Journal
A Fuzzy Approach to Partitioning Continuous Attributes for Classification
IEEE Transactions on Knowledge and Data Engineering
A note on trapezoidal approximations of fuzzy numbers
Fuzzy Sets and Systems
Trapezoidal approximations of fuzzy numbers---revisited
Fuzzy Sets and Systems
Trapezoidal and triangular approximations preserving the expected interval
Fuzzy Sets and Systems
Approximation of fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval
Fuzzy Sets and Systems
Data-driven fuzzy sets for classification
International Journal of Advanced Intelligence Paradigms
Simulation of fuzzy random variables
Information Sciences: an International Journal
Interval type-2 fuzzy membership function generation methods for pattern recognition
Information Sciences: an International Journal
Maximum entropy membership functions for discrete fuzzy variables
Information Sciences: an International Journal
Fuzzy random renewal reward process and its applications
Information Sciences: an International Journal
Video sequence motion tracking by fuzzification techniques
Applied Soft Computing
Train timetable problem on a single-line railway with fuzzy passenger demand
IEEE Transactions on Fuzzy Systems
Trapezoidal approximations of fuzzy numbers
Fuzzy Sets and Systems
Approximations of fuzzy numbers by trapezoidal fuzzy numbers preserving the ambiguity and value
Computers & Mathematics with Applications
Change a sequence into a fuzzy number
ADMA'10 Proceedings of the 6th international conference on Advanced data mining and applications - Volume Part II
A multi-level ant-colony mining algorithm for membership functions
Information Sciences: an International Journal
A motion compression/reconstruction method based on max t-norm composite fuzzy relational equations
Information Sciences: an International Journal
On elicitation of membership functions
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Expected value of fuzzy variable and fuzzy expected value models
IEEE Transactions on Fuzzy Systems
Fuzzy number approximation via shadowed sets
Information Sciences: an International Journal
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This paper focuses on modelling fuzzy numbers with meaningful membership functions. More precisely, it proposes a method to construct trapezoidal fuzzy number approximations from raw discrete data. In many applications, input information is numerical, and therefore, particular fuzzy sets, such as fuzzy numbers, hold great interest and relevance in managing data imprecision and vagueness. The proposed technique provides an efficient way to obtain trapezoidal numbers using linear regression. The technique is simple, fast, and effective. Preliminary tests are performed using different types of input data: a Gaussian function, a Sigmoidal function, three datasets of synthetic discrete data, and an histogram obtained from a colour satellite image.